1 research outputs found
Spectral Factorization, Whitening- and Estimation Filter -- Stability, Smoothness Properties and FIR Approximation Behavior
A Wiener filter can be interpreted as a cascade of a whitening- and an
estimation filter. This paper gives a detailed investigates of the properties
of these two filters. Then the practical consequences for the overall Wiener
filter are ascertained. It is shown that if the given spectral densities are
smooth (Hoelder continuous) functions, the resulting Wiener filter will always
be stable and can be approximated arbitrarily well by a finite impulse response
(FIR) filter. Moreover, the smoothness of the spectral densities characterizes
how fast the FIR filter approximates the desired filter characteristic. If on
the other hand the spectral densities are continuous but not smooth enough, the
resulting Wiener filter may not be stable.Comment: To appear in the proceedings of the IEEE International Symposium on
Information Theory, Adelaide, Astralia, Sept. 4-9, 200