Frequency Response Measurements by Using Flat Pinck Noise: Another Primitive but Reliable, Reproducible, Flexibly Re-Analyzable Method
First of all,
abbreviations in this post;
SW: Sub-Woofers Yamaha YST-SW1000 (L & R)
WO: Woofers of Yamaha NS-1000 (L & R)
Be-SQ: Beryllium Mid-Range Squawkers of Yamaha NS-1000 (L & R)
Be-TW: Beryllium High-Range Tweeters of Yamaha NS-1000 (L & R)
ST: Metal Horn Super-Tweeter Fostex T925A (L & R)
Hello friends,
In my post
#318 and
#321, I shared Frequency (Fq) Responses (relative SPLs) of my multichannel multi-driver multi-amplifier system measured by REW's quick sine-sweep method and graphically represented after its "psychoacoustic smoothing".
According to the manual of REW;
"Psychoacoustic smoothing uses 1/3 octave below 100Hz, 1/6 octave above 1 kHz and varies from 1/3 octave to 1/6 octave between 100 Hz and 1 kHz. It also applies more weighting to peaks by using a cubic mean (cube root of the average of the cubed values) to produce a plot that more closely corresponds to the perceived frequency response."
I feel that "psychoacoustic smoothing" seems to give the frequency response curve that best corresponds (matches) to my auditory sensation.
On the other hand, I also would like to establish "my own routine procedure/method" of Fq response measurements which should be reliable, reproducible as well as flexibly re-analyzable, and also should be well understandable regarding the internal processing and validity, as I will share in this post as follows.
Before going into the details, let me share again my present digital crossover configurations, master volume and relative gain setting;
And,
EKIO's flexible I/O routing with nice "Mute" and "Solo" buttons on each of the output panels;
The whole physical configuration remains unchanged;
OK, this time I used my second
"Completely Silent PC" in the listening room for just recording of the flat pink noise using the omnidirectrional EC measurement microphone Behringer ECM8000;
I carefully set ECM8000 (together with CEntrance Micport Pro for phantom 48 V supply and USB 96 kHz digital out) at my head position in usual listening sessions;
As for the high quality reliable pink noise, I use track-12 "Pink Noise 20 Hz - 20 kHz" of CBS/Sony's "Super Audio Check CD" 48 DG 3 (1983), which I shared in
my post #26.
This paragraph was edited for correction:
While repeatedly playing this pink noise track, I continuously recorded the actual sound of the flat pink noise by using
Audacity 3.0.1 into monaural 96 kHz WAV format utilizing EKIO's flexible mute/solo button on each of its output panels. (Of course I can do the recording by using
Adobe Audition 3.0.1, but as of today I have not yet installed
Adobe Audition in the specific PC; this is the only reason that I used
Audacity 3.0.1 for recording.)
Since the amplifier Sony TA-A1ES drives both of
Be-TW and
ST, I paused the recording while disconnecting and re-connecting the SP line cables for
Be-TW and
ST so that I could record the sound from only each of them in the individual SP driver recording portions.
The master volume (in JRiver MC27) and other gain values as well as any other variable factors were strictly kept unchanged during the entire recording session.
After the continuous recording session, the recorded 96 kHz WAV file was transferred to the rather powerful Intel Xeon PC Workstation at my office upstairs for further processing and analyses.
Since ECM8000 can hear only up to 20 kHz in flat response, I first carefully converted the recorded 96 kHz WAV into 48 kHz AIFF, by the nice and reliable "Music Converter" of dBpoweramp 17.3, so that I can intensively analyze Fq response up to 24.0 kHz.
The recorded 48 kHz monaural track consists of 6 portions,
ca. 30 sec each, as shown here;
Then, I checked/analyzed the track first by MusicScope 2.1.0;
As you can see, MusicScope is really nice for "at a glance" check and confirmation of the Fq response over 10 Hz - 20 kHz; I can see quite nice, almost flat, Fq response of the whole system (with all the SP drivers singing together) represented by the yellow dots spreading 10 Hz to 20 kHz.
You would please note that I kept the windows of rear connecting room behind the ECM8000 opened during the recording session for better room acoustics; this means that we have some amount of low Fq noises of comfortable May weather breeze from outside of my house.
Next, I loaded the sound track into Adobe Audition 3.01 for further intensive analyses;
The Spectral Frequency Display is also very nice to see the system Fq response "at a glance" in one image.
Now, we can analyze the Fq response of each of the 6 parts in this single monaural track.
I first rather intensively analyzed the "all together" portion which is the sound given by all the SP drivers singing together.
In order to closely check the super-low Fq zone of 10 Hz - 100 Hz, we need to set the FFT Size 8192 for Fq Analysis;
I could well confirm again that my
SWs are working very nicely having sound peak at around 33 Hz; by just judging from this Fq curve, however, my volume (gain) setting in the L & R active
SWs, L & R Yamaha YST-SW1000, would be a little too high, while it can be easily adjustable by IR remote any time while I sit on the sofa at listening position.
The 40 Hz - 600 Hz zone can be better seen simulating "psychoacoustics" by applying FFT Size of 2048;
And, the 800 Hz - 20 kHz zone can be seen "psychoacousticly" by applying FFT Size of 256;
Then I moved onto analyses of Fq response in each of the SP drivers; first for
SWs only;
As expected from the shape of "all-singing-together Fq curve",
SWs have peak at 35 Hz; please note that, in EKIO's digital crossover, I set Low-Pass (High-Cut) at 50 Hz with -12 dB/Oct slope, and furthermore within SW Yamaha YST-SW1000, I set -24 dB/Oct filter at 55 Hz so that
SWs would not widely overlap with
WOs.
Next, I analyzed "
WOs only" area by applying FFT Size 4096 to nicely see the Fq response in 30 Hz - 100 Hz zone;
Thanks to the full elimination of LC network inductors and capacitors, and also thanks to the dedicated nice amplifier Yamaha A-S3000, now I can confirm the
WOs work very nicely/efficiently as low as 40 Hz, and up to 600 Hz where I set the Low-Pass (High-Cut) filter of - 12dB/Oct in EKIO.
The FFT Size of 2048 would give better "psychoacoustic" Fq shape for
WOs in 100 Hz to 600 Hz zone;
Now, let's move on to my treasure mid-range
Be-SQ with FFT Size 512;
I could confirm again here that
Be-SQs of Yamaha NS-1000 is still very efficiently responding to the dedicated amplifier Accuphase E-460 and also to the EKIO's digital crossover target curve.
The
Be-TWs were also analyzed with FFT Size 512;
As
@mikessi kindly mentioned in
his post #350, the Fq response of
Be-TWs of NS-1000 is nice up to around 14 kHz, and beyond which it dropped as seen above.
I have been also well aware of these characteristics of
Be-TWs of NS-1000, and, therefore, this was one of the main reasons and rationale for my decision on adding
STs, Fostex T925A, in my system which was also analyzed here with FFT Size 512;
You can see the slight drop over 18 kHz, but I assume over 18 kHz would be the limitation zone of the microphone ECM8000 and the small USB ADC CEntrance MicPort Pro attached to ECM8000. (So far, I could not find detailed specifications for CEntrance MicPort Pro).
In any way, over 17 kHz, the reasonable/affordable measurement microphone like ECM8000 would
not be fully reliable, and I believe I need to have much more expensive measurement microphone and excellent "digital audio microphone interface" of guaranteed flat response up to at least 50 kHz.
I am rather reluctant, however, to have such expensive measurement gears, since my "audible capabilities" has already slightly declined over 10 kHz with my aging, even though I still have fairly better audibility than the "average audibility" of my age segment.
Well, we can very easily and flexibly measure any combination of the SP drivers, just like I analyzed
Be-TWs + STs with FFT Size 512 as shown below;
In summary and conclusion, I found that the rather primitive Fq response measurement method of
"simple pink noise recording and analyses" shared here is really reliable, accurate, reproducible, flexible (with various FFT sizes) and re-analyzable in any way after having the recorded track/file.
Of course, I understand quite well that Fq response is just one of the various factors determining the total sound quality of our audio systems.