Abstract
The roundoff noise problem for multirate digital filters is difficult because rate changing inside the filter makes both scaling and roundoff noise calculation complicated. With a new multirate filter analysis technique, the transfer function between any two points inside a multirate filter can be easily found, thus, simplifies the scaling and noise calculation. This paper finds theL P scaling and derives the roundoff noise expressions for fixed point implementations of the multistage decimator, interpolator, and multirate narrow-band low-pass filter. It is shown that the noise source at a low sampling rate stage is more important than that at a higher sampling rate stage. Methods to reduce output roundoff noise are discussed.
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This research was supported by NSF grant ECS 81-00453.
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Chu, S., Burrus, C.S. Roundoff noise in multirate digital filters. Circuits Systems and Signal Process 3, 419–434 (1984). https://doi.org/10.1007/BF01599169
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DOI: https://doi.org/10.1007/BF01599169