# Difference between revisions of "Dictionary:Stability of a filter"

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A filter is stable if the energy of its impulse response is finite. Stable minimum-phase filters have stable inverses. Maximum-phase wavelets do not have stable inverse memory functions, but inverse filtering can be accomplished by stable anticipation functions. The inverse of a mixed-delay wavelet requires both a stable memory function and a stable anticipation function. | A filter is stable if the energy of its impulse response is finite. Stable minimum-phase filters have stable inverses. Maximum-phase wavelets do not have stable inverse memory functions, but inverse filtering can be accomplished by stable anticipation functions. The inverse of a mixed-delay wavelet requires both a stable memory function and a stable anticipation function. | ||

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## Revision as of 03:00, 17 October 2017

A filter is stable if the energy of its impulse response is finite. Stable minimum-phase filters have stable inverses. Maximum-phase wavelets do not have stable inverse memory functions, but inverse filtering can be accomplished by stable anticipation functions. The inverse of a mixed-delay wavelet requires both a stable memory function and a stable anticipation function.