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Q&A Low-pass filter after the output DAC in CD players

[Disclaimer. This is not for an academic class. I'm self-studying.] I’m reading an introductory book on DSP for audio and computer music [Steiglitz 1996, ISBN 0-8053-1684-1 p. 287]. One of the ...

4 answers  ·  posted 2y ago by Nick Alexeev‭  ·  last activity 1y ago by Lorenzo Donati‭

Question filter audio DAC
#2: Post edited by user avatar Nick Alexeev‭ · 2022-10-10T14:10:05Z (about 2 years ago)
  • *[Disclaimer. This is not for an academic class. I'm self-studying.]*
  • I’m reading an introductory book on DSP for audio and computer music [Steiglitz 1996, ISBN 0-8053-1684-1 p. 287].
  • One of the sections discusses oversampled D/A conversion at the output of the CD players. The audio stream is at 44.1ksps sampling frequency. It's digitally interpolated to 176.4ksps (4x the original sampling frequency) before the D/A. The higher sample rate allows for a simpler and cheaper analog filter downstream of the D/A.
  • > That image is centered at 176.4kHz, way beyond the range of hearing, and it doesn’t take much of an analog filter to do a good job removing it (but see Problem 4).
  • > Problem 4: The first substantial image of the baseband signal in a CD player after oversampled D/A conversion is well beyond the range of human hearing. Why is it still important to filter it out? (Hint: It helps to know something about electronics here.)
  • My initial ideas for the answer:
  • * The audio amplifiers may be nonlinear at high frequencies, and the nonlinearities from the high frequency components may show up in the audible band.
  • * EMC. But I doubt that EMC is the answer.
  • * Power savings. Why why waste power driving the speaker with high frequency, if it isn’t audible?
  • What do you think?
  • *[Disclaimer. This is not for an academic class. I'm self-studying.]*
  • I’m reading an introductory book on DSP for audio and computer music [Steiglitz 1996, ISBN 0-8053-1684-1 p. 287].
  • One of the sections discusses oversampled D/A conversion at the output of the CD players. The audio stream is at 44.1ksps sampling frequency. It's digitally interpolated to 176.4ksps (4x the original sampling frequency) before the D/A. The higher sample rate allows for a simpler and cheaper analog filter downstream of the D/A.
  • > That image is centered at 176.4kHz, way beyond the range of hearing, and it doesn’t take much of an analog filter to do a good job removing it (but see Problem 4).
  • > Problem 4: The first substantial image of the baseband signal in a CD player after oversampled D/A conversion is well beyond the range of human hearing. Why is it still important to filter it out? (Hint: It helps to know something about electronics here.)
  • My initial ideas for the answer:
  • * The audio amplifiers may be nonlinear at high frequencies, and the nonlinearities from the high frequency components may show up in the audible band.
  • * EMC. But I doubt that EMC is the answer.
  • * Power savings. Why waste power driving the speaker with high frequency, if it isn’t audible.
  • What do you think?
#1: Initial revision by user avatar Nick Alexeev‭ · 2022-10-09T22:32:21Z (about 2 years ago)
Low-pass filter after the output DAC in CD players
*[Disclaimer.  This is not for an academic class.  I'm self-studying.]*

I’m reading an introductory book on DSP for audio and computer music [Steiglitz 1996, ISBN 0-8053-1684-1 p. 287].

One of the sections discusses oversampled D/A conversion at the output of the CD players.  The audio stream is at 44.1ksps sampling frequency.  It's digitally interpolated to 176.4ksps (4x the original sampling frequency) before the D/A.  The higher sample rate allows for a simpler and cheaper analog filter downstream of the D/A.

> That image is centered at 176.4kHz, way beyond the range of hearing, and it doesn’t take much of an analog filter to do a good job removing it (but see Problem 4).

> Problem 4:  The first substantial image of the baseband signal in a CD player after oversampled D/A conversion is well beyond the range of human hearing.  Why is it still important to filter it out?  (Hint: It helps to know something about electronics here.)


My initial ideas for the answer:

* The audio amplifiers may be nonlinear at high frequencies, and the nonlinearities from the high frequency components may show up in the audible band.  
* EMC.  But I doubt that EMC is the answer.
* Power savings.  Why why waste power driving the speaker with high frequency, if it isn’t audible?

What do you think?