The polyphase matrix decomposition coefficient of Integer Lifting Wavelet is is not unique.It has diverse selection methods and large computation quantity.First

the selection algorithm of filter iteration times is adopted to obtain the optimal iteration times

according to the input signal-to-noise ratio.Then

the comparison algorithm of the nonlinear iterated function

which combines the optimal iteration time

is treated as criteria to obtain the optimal decomposition coefficient.The iteration time is based on the input data

so the decomposition coefficient will have the optimal processing effect for the data

meeting the selection requirements of the polyphase matrix decomposition coefficients.The comparison algorithm meets the convergence characteristics

which can reduce the number of iterations by comparing whether the impulse response and step response of filters meet the error limit

in order to obtain the optimal decomposition coefficient quickly.Stemming from experiment results

this fast extraction algorithm can effectively meet the requirements of data processing

reduce the data computation quantity and elevate the data processing efficiency.