HOLMImpulse Measurements, Need step by step dummy guide.

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  • Saurav
    Super Senior Member
    • Dec 2004
    • 1166

    Originally posted by Dennis H
    You build an frd by pasting together several off-axis frds and specifying the angles.
    That sounds like work I guess I could take some shortcuts since the midrange and woofer baffles are square, so I could assume that the vertical and horizontal measurements would be the same. That won't be true for the tweeter, and won't be true for my CNC-dream baffle.

    Would you mind doing both?
    OK. For the BMS, I'm assuming you want to stay with the same woofer filter, and just re-do the tweeter filter for the new driver? That would be the most apples-to-apples comparison I think.

    Comment

    • penngray
      Senior Member
      • Sep 2007
      • 341

      Originally posted by Saurav
      That sounds like work I guess I could take some shortcuts since the midrange and woofer baffles are square, so I could assume that the vertical and horizontal measurements would be the same. That won't be true for the tweeter, and won't be true for my CNC-dream baffle.

      OK. For the BMS, I'm assuming you want to stay with the same woofer filter, and just re-do the tweeter filter for the new driver? That would be the most apples-to-apples comparison I think.

      Yeah, Lets keep the same woofer filter. Thx!!

      Comment

      • Saurav
        Super Senior Member
        • Dec 2004
        • 1166

        Originally posted by penngray
        New measurements with 2nd box and the BMS4550 CD
        I think you'll have to export those again. Looks like 'normalize to magnitude = 1' was checked, so both drivers now have the same amplitude in the impulse response:

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        Very different from your image:

        Image not available

        I'll start working with this since the tweeter filter network won't be affected by this, but new exports would help ensure that the final gain levels are right.
        Last edited by theSven; 04 May 2023, 17:20 Thursday. Reason: Update image location

        Comment

        • penngray
          Senior Member
          • Sep 2007
          • 341

          Sorry about that! I will do them again today.

          Comment

          • penngray
            Senior Member
            • Sep 2007
            • 341

            New 4550 measurements

            Here are the settings for the "Time Zero Locked" after I ran the measurement with "Detect time Zero/Causal Impulse"

            Image not available

            HOLM Measurements.

            Image not available

            Wave Export values (Just incase Im still screwing up).

            Image not available
            Last edited by theSven; 04 May 2023, 17:36 Thursday. Reason: Remove broken image links

            Comment

            • Saurav
              Super Senior Member
              • Dec 2004
              • 1166

              That's better. I noticed that the woofer measurement seems a little different:

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              Red is the current measurement, blue is from the 1425 measurements, levels adjusted to get them to line up. The low end seems a little rolled off compared to the measurement with the 1425. I played with the gating to see if it would make a difference, but no luck. I'm not sure if this is a big deal, it could be the room or some other measurement issue.

              Anyway, I stuck to our agreement of not changing the woofer filter. So here's a 1500 LR4 XO with the BMS:

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              Same deal with the shelving filter, use the closest value to the number typed in on the left. Also note the changed delay on the woofer - it would appear that the 4550's AC is further back than the 1425. Or I haven't got the response to track the LR4 curve quite right, so the delay is changing to compensate. Either way, I don't consider the woofer delay to really be part of the woofer filter (since it's compensating for the tweeter depth), so I don't think that breaks the rules

              Predicted response:

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              That's what the optimizer thinks is best. Me, I'd drop the tweeter level maybe 0.5 to 1dB further and experiment with that. That seems to line up the tops of the peaks in the tweeter response with the woofer level, which may or may not sound more balanced.

              Tweeter reversed:

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              Transfer functions:

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              Last edited by theSven; 04 May 2023, 17:21 Thursday. Reason: Update image location

              Comment

              • Saurav
                Super Senior Member
                • Dec 2004
                • 1166

                2kHz LR4 with the Celestion 1425:

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                There's a 2kHz peak in the woofer's response that's messing with this a bit. I tried notching the peaks out first, but the optimizer ends up at Q = 10, and still hunting. Try delays of 0.24 - 0.27 while checking the reverse null, the sim shows it change from a double null (where the 2kHz peak seems to add and create a peak within the null) at .24ms to a single null at .27ms.

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                Reverse null with 0.27ms delay:

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                Last edited by theSven; 04 May 2023, 17:22 Thursday. Reason: Update image location

                Comment

                • Saurav
                  Super Senior Member
                  • Dec 2004
                  • 1166

                  And 2kHz with the 4550, woofer filter unchanged:

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                  Last edited by theSven; 04 May 2023, 17:22 Thursday. Reason: Update image location

                  Comment

                  • penngray
                    Senior Member
                    • Sep 2007
                    • 341

                    Red is the current measurement, blue is from the 1425 measurements, levels adjusted to get them to line up. The low end seems a little rolled off compared to the measurement with the 1425. I played with the gating to see if it would make a difference, but no luck. I'm not sure if this is a big deal, it could be the room or some other measurement issue.
                    Thanks strange. I will try to figure that out today.

                    Comment

                    • penngray
                      Senior Member
                      • Sep 2007
                      • 341

                      I checked TD12M on both speakers and they match in measurements right now. Not sure what I was doing then.

                      Im doing the ARTA off axis measurements for the 1425 tonight.

                      I didnt try any of the other crossovers yet since I have not be up in the HT room since last week.

                      Comment

                      • penngray
                        Senior Member
                        • Sep 2007
                        • 341

                        Measurements with ARTA (raw, no gating)

                        Setup, are those values ok?

                        Image not available

                        Raw impulse

                        Image not available

                        Off axis 10 to 60 degrees.

                        Image not available


                        Off axis showing where null starts @ crossover its > 30 degrees.

                        Image not available


                        My off axis degrees are fairly rough estimates. I need to do a better job of marking the base pedistal so I know how much Im turning the stand.
                        Last edited by theSven; 04 May 2023, 17:37 Thursday. Reason: Remove broken image links

                        Comment

                        • Saurav
                          Super Senior Member
                          • Dec 2004
                          • 1166

                          That looks pretty good to me. So the first one is horizontal and the second is vertical? Going up or down? Did you measure it by putting the speaker on its side and rotating it?

                          You can try some simple gating to clean up the curves. The yellow vertical line in the impulse response is the cursor. Clicking anywhere moves the cursor to that position. So here's what you do:

                          * On the top right, under Marker, click 'Del' to clear any saved information (when you first start ARTA, this should do nothing)

                          * Click in the impulse response window just to the left of the impulse. In your picture this would be at 6.something ms. The readout on the bottom left shows you where the cursor is (currently 5.688ms)

                          * Under 'Marker', click 'Set'. Now you've just set the start marker. The whole impulse response will go red, meaning there's no range that it's picking up.

                          * Click on the impulse response chart again, just before the wiggle at around 12ms. Doing this places the end gate. You'll see the 6ms - 12ms region go green, while the rest of the chart stays red. This shows you which region is going to be used for the FR calculations. The blip at 12ms is your first reflection, so you want the end marker to be just before that.

                          Once you do that, leave the markers as they are, and take all your measurements. That should clean up most of the noise in the FR curves (which are pretty readable as they are IMO).

                          Here's another idea, someone asked me this question in PM - why aren't we trying for a lower crossover with the BMS? I really didn't have a good answer for that one I know we've been sticking with 1500 and 2000 to have a cleaner comparison between the two. But I think eventually we should try something like 1200 on the BMS, it should be able to handle it.

                          Comment

                          • penngray
                            Senior Member
                            • Sep 2007
                            • 341

                            That looks pretty good to me. So the first one is horizontal and the second is vertical? Going up or down? Did you measure it by putting the speaker on its side and rotating it?

                            Sorry I have not done the vertical yet, I have not figured out how to do the rotating for it.

                            Both are horizontal. I did the second one just to show where the null starts.

                            I will clean up the measurements as per your suggestions.

                            Yes, I would love to do the BMS around 1200.

                            Comment

                            • Saurav
                              Super Senior Member
                              • Dec 2004
                              • 1166

                              Hmm... I'm not sure there should be a null in the horizontal polars Well, let's see what the gated measurements look like, and hopefully someone else will chime in with what the polars are supposed to look like.

                              Comment

                              • penngray
                                Senior Member
                                • Sep 2007
                                • 341

                                Originally posted by Saurav
                                Hmm... I'm not sure there should be a null in the horizontal polars Well, let's see what the gated measurements look like, and hopefully someone else will chime in with what the polars are supposed to look like.
                                I was wondering about that.

                                I will gate the next set tonight.

                                Comment

                                • Dennis H
                                  Ultra Senior Member
                                  • Aug 2002
                                  • 3798

                                  Working with the cursor and marker in ARTA:
                                  Left click sets the cursor.
                                  Right click sets the marker.
                                  Right double click deletes the marker.
                                  Shift + right or left arrow moves the cursor 1 sample.
                                  Read the cursor position and gate time below the graph in msec (samples).

                                  Frequency resolution in Hz is the largest of:
                                  1/(gate time in seconds) = 1000/(gate time in msec)
                                  (sampling rate)/(sequence length)
                                  (sampling rate)/(FFT size)

                                  Longer gate time, longer sequence in the signal generator, and longer FFT to analyze the recorded signal, all give better LF resolution.

                                  Comment

                                  • penngray
                                    Senior Member
                                    • Sep 2007
                                    • 341

                                    As always, thanks guys!! Its nice to finally get a complete handle on proper measurements. ARTA seems extremely easy now compared to months of fumbling around with simplistic measurements. The calibration stuff is still a nightmare and I can not get my dB axis values calibrated remotely close to real values but not a big deal (yet).

                                    Comment

                                    • Dennis H
                                      Ultra Senior Member
                                      • Aug 2002
                                      • 3798

                                      Hmmm, I just learned something from Saurav's post. I always thought you had to set the cursor before the impulse and the marker after. But his way of setting the marker before and the cursor after works too.

                                      I still think it's better to set the cursor before the impulse if you're looking at phase. That way you can change the gate time or remove the gate without changing the cursor position and messing up the phase.

                                      Comment

                                      • Saurav
                                        Super Senior Member
                                        • Dec 2004
                                        • 1166

                                        Heh, I didn't know about the difference between left and right clicking Agreed about putting the cursor at the start gate to check phase. Likewise, if you're looking for the effect of room reflections, it's easier to leave the marker at the start gate and move the cursor for the end gate.

                                        Comment

                                        • penngray
                                          Senior Member
                                          • Sep 2007
                                          • 341

                                          So do it Dennis's way?

                                          Comment

                                          • penngray
                                            Senior Member
                                            • Sep 2007
                                            • 341

                                            Originally posted by Dennis H
                                            Working with the cursor and marker in ARTA:
                                            Left click sets the cursor.
                                            Right click sets the marker.
                                            Right double click deletes the marker.
                                            Shift + right or left arrow moves the cursor 1 sample.
                                            Read the cursor position and gate time below the graph in msec (samples).

                                            Frequency resolution in Hz is the largest of:
                                            1/(gate time in seconds) = 1000/(gate time in msec)
                                            (sampling rate)/(sequence length)
                                            (sampling rate)/(FFT size)

                                            Longer gate time, longer sequence in the signal generator, and longer FFT to analyze the recorded signal, all give better LF resolution.

                                            Should I be changing the signal generator values??

                                            Here are the current values

                                            Image not available
                                            Last edited by theSven; 04 May 2023, 17:38 Thursday. Reason: Remove broken image links

                                            Comment

                                            • Saurav
                                              Super Senior Member
                                              • Dec 2004
                                              • 1166

                                              So do it Dennis's way?
                                              Either way works. The marker / right-click thing is the one you want to keep fixed, the cursor / left-click thing is the one that's easier to move.

                                              In your case I'd probably do it 'my' way, put the marker at the start (just before the impulse) and the cursor at the end. That lets you play with moving the end gate in and out - you want to push it as far out as you can, while still having relatively clean frequency response curves. For the off-axis measurements, you're not really concerned about phase.

                                              If you're measuring drivers for crossover work, phase is the most important thing, so there you'd have an easier time if you did it Dennis' way - put the marker at the end and leave it there, then you can play with the start gate using the cursor.

                                              Comment

                                              • Dennis H
                                                Ultra Senior Member
                                                • Aug 2002
                                                • 3798

                                                Originally posted by Saurav
                                                Either way works. The marker / right-click thing is the one you want to keep fixed, the cursor / left-click thing is the one that's easier to move.

                                                In your case I'd probably do it 'my' way, put the marker at the start (just before the impulse) and the cursor at the end. That lets you play with moving the end gate in and out - you want to push it as far out as you can, while still having relatively clean frequency response curves. For the off-axis measurements, you're not really concerned about phase.

                                                If you're measuring drivers for crossover work, phase is the most important thing, so there you'd have an easier time if you did it Dennis' way - put the marker at the end and leave it there, then you can play with the start gate using the cursor.
                                                My mouse has a right button so I find it easy enough to move the marker (after the impulse) to change the gate. Or just double right click to remove the marker entirely and go ungated, still without moving the cursor. FWIW, that's the method he describes in the manual.

                                                Comment

                                                • Saurav
                                                  Super Senior Member
                                                  • Dec 2004
                                                  • 1166

                                                  LOL. Point taken.

                                                  Comment

                                                  • Dennis H
                                                    Ultra Senior Member
                                                    • Aug 2002
                                                    • 3798

                                                    Originally posted by penngray
                                                    Should I be changing the signal generator values??

                                                    Here are the current values
                                                    That looks fine although the sequence (128K) may be longer than you need, giving a frequency resolution under 1/2 Hz. Notice the time constant of over 2 sec. But better too much information than too little in the signal you record.

                                                    The FFT size (4K) is small and that would limit your LF resolution in an ungated measurement. I usually try to use as big an FFT as I can. ARTA will tell you if the FFT is too big for the number of samples it has to work with and then you can try the next size smaller.

                                                    Of course, if you gate the measurement, that's going to be what limits your LF resolution rather than the sequence length or the FFT size. A 5 msec gate means you have a 'real' data point every 200 Hz and everything in between those is a WAG by software. Gating gets rid of noise and reflections but it limits the LF resolution.

                                                    Comment

                                                    • HokieJoe
                                                      Junior Member
                                                      • Jan 2010
                                                      • 8

                                                      Nothing of substance to add except to say what a great thread this is.

                                                      Comment

                                                      • coctostan
                                                        Member
                                                        • Nov 2006
                                                        • 52

                                                        Penngray, do you plan to add a capacitor in line for protection? If so, you might want to take impedance measurements so you can model different caps..or did you measure with a cap in line already?

                                                        I like the build. I'm thinking about trying a TD12M along with the 4550 and DE250 on the QSC horn. I might start with the 3012HO though. I will use a set of XTI1000's instead of the DCX but they have pretty much identical crossover and eq capabilities.

                                                        Comment

                                                        • penngray
                                                          Senior Member
                                                          • Sep 2007
                                                          • 341

                                                          Originally posted by coctostan
                                                          Penngray, do you plan to add a capacitor in line for protection? If so, you might want to take impedance measurements so you can model different caps..or did you measure with a cap in line already?

                                                          I like the build. I'm thinking about trying a TD12M along with the 4550 and DE250 on the QSC horn. I might start with the 3012HO though. I will use a set of XTI1000's instead of the DCX but they have pretty much identical crossover and eq capabilities.
                                                          The caps have been in place to protect the tweeters..I can not remember the values right now though (Maybe 36uF ??). I will open them up and check this weekend. There is a discussion on AVS about just adding a 4 uF cap to find out how it looks and it might make the over all crossover extremely easy. Zilch's "bridge-T" is really interesting and simple found here http://www.avsforum.com/avs-vb/showt...st18307375(ala Econo waveguide crossover stuff).



                                                          Im very interested in how those Crown amps workout, I have been considering them for awhile. I know they have decent functionality but I didnt konw they had all the functionality the DCX has.

                                                          Comment

                                                          • coctostan
                                                            Member
                                                            • Nov 2006
                                                            • 52

                                                            That makes sense. I should have noticed from the flat response.

                                                            The XTI (and DSI, CDi and a few others) have a pretty extensive DSP. You have the same crossovers, enough peq bands and delay. That is about all you need. It doesn't do everything the DCX does since I don't think it can split a signal 3 ways. It should be able to do everything needed for a single 2-way speaker. It is probably a slightly more expensive route at $350 each on ebay than using a DCX and a cheap multichannel amp. My room also allows for the XTIs and their fans to be in another room.

                                                            I might also try toying with an econowave derivative using their topology.

                                                            Comment

                                                            • penngray
                                                              Senior Member
                                                              • Sep 2007
                                                              • 341

                                                              Sorry, I have not been able to measure again in my HT Room. I hooked up my old speakers so the family/friends/kids could enjoy some movies. I will get back to measuring this week.

                                                              I need to redo the off axis measurements to confirm that null then I need to run measurements for the new crossover settings.

                                                              I want love to see the BMS @ 1500Hz. Saurav, have you had time to build a BMS4550 crossover @ 1200Hz or 1000Hz?

                                                              Comment

                                                              • Saurav
                                                                Super Senior Member
                                                                • Dec 2004
                                                                • 1166

                                                                Nope, not yet. That's next on my list, but things have been a little crazy this past week. Hopefully in the next few days.

                                                                Comment

                                                                • penngray
                                                                  Senior Member
                                                                  • Sep 2007
                                                                  • 341

                                                                  No rush at all. I know what crazy means. Im kind of stuck with a computer on my lap watching kids

                                                                  Comment

                                                                  • Saurav
                                                                    Super Senior Member
                                                                    • Dec 2004
                                                                    • 1166

                                                                    OK, fairly quick attempt at 1200. We really need to see how well the sims are tracking reality, especially off-axis, before we continue doing more sims

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                                                                    Comment

                                                                    • penngray
                                                                      Senior Member
                                                                      • Sep 2007
                                                                      • 341

                                                                      I will have more measurements by Thursday.

                                                                      Comment

                                                                      • penngray
                                                                        Senior Member
                                                                        • Sep 2007
                                                                        • 341

                                                                        New measurements...

                                                                        Gated Horizontal

                                                                        Image not available


                                                                        Gated Vertical

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                                                                        On horn axis measurement

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                                                                        so....I guess the fact that I did all measurements between the horn and the woofer then this is what measurement I get @ the horn axis (5" move vertically).

                                                                        I think this is what I'm hearing in my tests. I believe I'm sitting about ear level with the horns.

                                                                        What measurement should be building the crossovers from. Th measurements from the listening position of the speaker instead of the "generic" measurement spot (center between the drivers)?
                                                                        Last edited by theSven; 04 May 2023, 17:40 Thursday. Reason: Remove broken image links

                                                                        Comment

                                                                        • penngray
                                                                          Senior Member
                                                                          • Sep 2007
                                                                          • 341

                                                                          1425 impedance

                                                                          Image not available

                                                                          1745 impedance

                                                                          Image not available

                                                                          Im thinking I might want to start working on using the Celestion 1745 as my "economy driver" instead of the 1425. Since it looks like it works easier below 2KHz.


                                                                          I will start measuring the 4550 with XOs this weekend.
                                                                          Last edited by theSven; 04 May 2023, 17:40 Thursday. Reason: Remove broken image links

                                                                          Comment

                                                                          • Saurav
                                                                            Super Senior Member
                                                                            • Dec 2004
                                                                            • 1166

                                                                            so....I guess the fact that I did all measurements between the horn and the woofer then this is what measurement I get @ the woofer axis (5" move vertically).
                                                                            Woofer axis or horn axis? Either you contradicted yourself or I'm confused.

                                                                            Those polars don't look good IMO. So you moved the mic 5" up - how far away is it from the baffle?

                                                                            On the vertical plots, did you start with the mic centered on the horn, then go up? Did you measure that by laying the speaker on its side, or moving the mic up?

                                                                            Comment

                                                                            • augerpro
                                                                              Super Senior Member
                                                                              • Aug 2006
                                                                              • 1867

                                                                              No idea if this will do anything or not, but I use a 16 or 8 ohm shunt resistor across the terminals of the CD. This will flatten the impedance that the amp sees and may improve any reactance the CD has with the amp and smooth perceived response. Just a thought.
                                                                              ~Brandon 8O
                                                                              Please donate to my Waveguides for CNC and 3D Printing Project!!
                                                                              Please donate to my Monster Box Construction Methods Project!!
                                                                              DriverVault
                                                                              Soma Sonus

                                                                              Comment

                                                                              • penngray
                                                                                Senior Member
                                                                                • Sep 2007
                                                                                • 341

                                                                                Originally posted by Saurav
                                                                                Woofer axis or horn axis? Either you contradicted yourself or I'm confused.

                                                                                Those polars don't look good IMO. So you moved the mic 5" up - how far away is it from the baffle?

                                                                                On the vertical plots, did you start with the mic centered on the horn, then go up? Did you measure that by laying the speaker on its side, or moving the mic up?
                                                                                Sorry about that, its a typo (trying to post in between kids screaming ), I meant the horn axis.

                                                                                The measurements are still being done at approx. 1 meter.

                                                                                I started the mic centered on the horn, then went up. Center of horn is about 5" higher then where I measured to build the crossovers.


                                                                                btw, are the horizontal polars okay?

                                                                                Comment

                                                                                • penngray
                                                                                  Senior Member
                                                                                  • Sep 2007
                                                                                  • 341

                                                                                  Originally posted by augerpro
                                                                                  No idea if this will do anything or not, but I use a 16 or 8 ohm shunt resistor across the terminals of the CD. This will flatten the impedance that the amp sees and may improve any reactance the CD has with the amp and smooth perceived response. Just a thought.
                                                                                  I have read about that in another discussion. I will try to do that when I get a chance to buy some.

                                                                                  Comment

                                                                                  • penngray
                                                                                    Senior Member
                                                                                    • Sep 2007
                                                                                    • 341

                                                                                    Augerpro, do you have a link that explains the shunt resistor?

                                                                                    Comment

                                                                                    • Saurav
                                                                                      Super Senior Member
                                                                                      • Dec 2004
                                                                                      • 1166

                                                                                      When 2 resistors are connected in parallel, they combine 'in inverse'. So if R1 and R2 are in parallel the final resistance R is:

                                                                                      1/R = 1/R1 + 1/R2

                                                                                      Here's a calculator:



                                                                                      So let's take the 1745 impedance curve. You can see that it varies from about 5 ohms up to about 21 ohms. Now let's put a 16 ohm resistor in parallel, and calculate what the combined impedance will be. Eyeballing values from the chart, I get:

                                                                                      At 200 Hz, the impedance is 5 || 16, which is 4 ohms
                                                                                      At 1kHz, it's 21 || 16 = 9 ohms
                                                                                      At 2kHz it's 12 || 16 = 7 ohms
                                                                                      At 5kHz it's 8 || 16 = 5 ohms

                                                                                      As you can see, a 5 - 21 ohm swing has been brought down to 4 - 9. If you used an 8 ohm resistor, the swing would be brought down even lower, but the lowest impedance would be less than 4 ohms. In this case that might not be a problem since the tweeter won't be seeing a signal at 200Hz.

                                                                                      If you install Speaker Workshop (it's free, but has a pretty nasty learning curve), you can create a driver, input that impedance curve, create a network which has the driver with a resistor in parallel, and visually see the resulting impedance curve.

                                                                                      Comment

                                                                                      • augerpro
                                                                                        Super Senior Member
                                                                                        • Aug 2006
                                                                                        • 1867

                                                                                        Originally posted by penngray
                                                                                        I have read about that in another discussion. I will try to do that when I get a chance to buy some.
                                                                                        Where was this discussion at? Link please
                                                                                        ~Brandon 8O
                                                                                        Please donate to my Waveguides for CNC and 3D Printing Project!!
                                                                                        Please donate to my Monster Box Construction Methods Project!!
                                                                                        DriverVault
                                                                                        Soma Sonus

                                                                                        Comment

                                                                                        • penngray
                                                                                          Senior Member
                                                                                          • Sep 2007
                                                                                          • 341

                                                                                          Originally posted by augerpro
                                                                                          Where was this discussion at? Link please
                                                                                          There was a minor point about a shunt resistor in this thread
                                                                                          Will a 16 ohm compression driver be better for home audio than the same driver with an 8 ohm diaphragm? Will this cut the hiss from noise in half along with the voltage sensitivity for a better match to hifi woofers so less padding will be required. Will resonant frequency stay the same? The...

                                                                                          Comment

                                                                                          • penngray
                                                                                            Senior Member
                                                                                            • Sep 2007
                                                                                            • 341

                                                                                            Originally posted by Saurav
                                                                                            When 2 resistors are connected in parallel, they combine 'in inverse'. So if R1 and R2 are in parallel the final resistance R is:

                                                                                            1/R = 1/R1 + 1/R2

                                                                                            Here's a calculator:



                                                                                            So let's take the 1745 impedance curve. You can see that it varies from about 5 ohms up to about 21 ohms. Now let's put a 16 ohm resistor in parallel, and calculate what the combined impedance will be. Eyeballing values from the chart, I get:

                                                                                            At 200 Hz, the impedance is 5 || 16, which is 4 ohms
                                                                                            At 1kHz, it's 21 || 16 = 9 ohms
                                                                                            At 2kHz it's 12 || 16 = 7 ohms
                                                                                            At 5kHz it's 8 || 16 = 5 ohms

                                                                                            As you can see, a 5 - 21 ohm swing has been brought down to 4 - 9. If you used an 8 ohm resistor, the swing would be brought down even lower, but the lowest impedance would be less than 4 ohms. In this case that might not be a problem since the tweeter won't be seeing a signal at 200Hz.

                                                                                            If you install Speaker Workshop (it's free, but has a pretty nasty learning curve), you can create a driver, input that impedance curve, create a network which has the driver with a resistor in parallel, and visually see the resulting impedance curve.
                                                                                            Thanks! That is exactly the explanation Im looking for. I like the Crossovers for dummies version Some people believe this lowers the SQ, is this just subjective audiophile stuff or is there a noticeable difference?


                                                                                            I have speaker workshop download but I just never spent the time to get it working.

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