Optimal FIR Pre- and Postfilters for Decimation and Interpolation of Random Signals

A new technique for the design of finite impulse response (FIR) filters for decimation and interpolation in multirate systems is presented. With this technique, FIR pre- and post-filters that jointly minimize a frequency-weighted mean-square (m.s.) error between the original and reconstructed signals can be designed. Unlike most other FIR filter design methods, there is no need for ideal filter prototypes: the optimal pre-post filter pair is determined from the signal and noise spectra and the up- and down-sampling factors. Some examples of image and speech processing show that the m.s.-optimal filter pair leads to typical SNR improvements of 2-6 dB, in comparison with other commonly used filters.

Malvar_Staelin_TCom0188.pdf
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In  IEEE Transactions on Communications

Publisher  Institute of Electrical and Electronics Engineers, Inc.
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