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A Primer on Multirate Signal Processing in Audio
Mr. Eric Chan, MAES
Wednesday, 28 February 2001

reported by: Mr. Rafael Oei
                  Secretary (Term 2000/2001)

On Wednesday 28 February 2001, 6 members and 12 guests of the AES Singapore Section gathered in Lecture Theatre 63 at Ngee Ann Polytechnic. Eric Chan, Senior IC Design Engineer of Creative Technology Singapore promised to share his research on multi-rate signal processing utilised in Creative Technology’s sound cards.
 

Mr. Eric Chan presenting his talk on "A Primer on Multirate Signal Processing in Audio" at Ngee Ann Polytechnic - photograph by Mr. Robert Soo.

Shannon’s Sampling Theorem provided the launch pad for the night’s talk.  Using frequency wave captures, Mr Chan laid the groundwork skimming through the problems of sampling and aliasing under various conditions. He then contrasted filtered samplings within time and frequency domains, always careful to avoid the math so that his presentation remained on a common platform for the audience.

After simplifying Shannon’s Sampling Theorem for the lay audience, Mr Chan introduced the first schematic based on Sigma Delta ADC/DAC. From 

graphic representations of an analogue signal from this configuration, Mr Chan explained the problems Resistor Capacitor Networks presented. These were not for integration into “ICs”, given the analogue circuit design, the difficulty in resistor matching during integration, a limited power supply of 3.3V and 2.5V and performance degradation. Mr Chan then went on to describe Sigma Delta Converters, explaining why it was not ideal for Creative Technology’s purposes as well.

Finally, Mr Chan came to the model that Creative Technology had adapted for its PC cards; the multi-rate signal process that allows for arbitrary sample rates. This addressed the problem of processing audio signals of different sample rates to enable audio integrity on playback from a limited system such as a PC. Reconciling clocking errors and accumulated mismatches from input sources had to be addressed despite circuit integration constraints. Mr Chan added that due to ratio returns in traditional means of sample rate conversion, I/D ratios were not practical.  Non-integer ratios makes for 

Section Chairman, Mr. Robert Soo (left) presenting the AES speaker's plaque to Mr. Eric Chan after the talk - photograph by Mr. Michael Teh.

clumsy multi-stage system and audio applications require a system with a minimum number of multiply accumulate cycles. So sample rate conversion had to be based on an arbitrary factor.

AES members and guests with the speaker, Mr. Eric Chan (front row, 3rd from left) gather for a group photo shoot after the talk at Ngee Ann Polytechnic - photograph by Robert Soo using self-timer.

Using more wave captures, Mr Chan went on to explain his findings in detail, using comparison charts to illustrate the differences in passband responses based on Linear Interpolation, Sinc Function Interpolation, Remez Optimised Interpolation and the “new” approach based on multiple constraints. Why does it work?  Although, Mr Chan admits, the model is not based on psycho-acoustic analysis, the strength is in the result. Normal human ears can’t seem to detect the shortfalls from the resultant decoded audio signals from this configuration.

The audience then had a preview of what consumers can expect from Creative Technology in the years to come. That, however, is a different story.

 


Copyright 2001 AES Singapore Section