Method and a system of acquiring local signal behavior parameters for representing and processing a signal

摘要

A method and a system for acquiring signal behavior parameters (LSBPs) of a band-limited (BL) signa, for representing and processing the signal, wherein the LSBPs encode the signal's local behavior in between Nyquist rate points. Preferably, a section of a BL signal within a sampling window is represented as a truncated series of order n at a sampling moment within the sampling window. The truncated series having n+1 LSBPs as its coefficients, encoding the signal's local behavior between Nyquist rate points. Compared to the conventional approach that encodes a signal's behavior by signal samples taken at Nyquist rate points, the invention encodes more signal behavior. Discrete signal samples are obtained from the signal. The LSBPs are solved numerically such that the interpolated values of the truncated series provide the least-square fit with the discrete signal samples. The LSBPs are repectively the values of chromatic differential operators of order 0 to order n evaluated at the sampling moment.