Patent ID: 8229986

Claim:
A signal approximation system comprising: non-linear analysis filters to convert the source signal, a sampling means to sample an output signal of said non-linear analysis filter to make a discrete signal at every sampling timing of constant interval, synthesis filters to generate a first approximate function by combining linearly an interpolation functions with said discrete signal, a means to obtain a second approximate function by calculating a radical of said first approximate function at the sampling timing, a means to calculate an approximate function of said source signal by composing said second approximate functions; wherein said source signal is equivalent to a reversed signal of the spectrum whose norm is less than a given value, said non-linear analysis filter is a filter to yield a signal as described by a polynomial of the transformed signal from the source signal by linear filters, said interpolation function is the function according to said polynomial, said synthesis filter is a filter to generate said first approximation function of approximation of said source signal or its powered function by way of linear combination of said interpolation function with a coefficient of said discrete signal at every sampling timing.