Abstract: A method and a system for acquiring local 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.

Abstract: The present invention relates to signal processing and, more particularly, to the use of local signal behavior parameters for the description of signals within sampling windows. Improved accuracy in local signal representation is achievable by using appropriate windowing functions within the local sampling windows where such windowing functions approximately compensate for truncation errors arising in finite representations of the exact signal. Other embodiments include windowing functions approximately compensating for the expected noise values that tend to corrupt the signal. Improved accuracy in local signal representations employing chromatic derivatives are described.

Abstract: A new signal processing method and a signal processing engine which can achieve extremely fast responsiveness to instantaneous changes in the behavior of the signal, and maintain the accuracy of standard harmonic methods. The signal processing engine unifies Nyquist's theorem and Taylor's theorem by means of polynomial approximations using linear operators, e.g. differential and integral operators. The signal processing engine samples the signal at a rate which is n times the band limit of the signal, where n is greater than 2, i.e. greater than the Nyquist rate, produces a digital representation of the sampled signal, and calculates the outputs of linear operators applied to polynomial approximations of the sampled signal. A switch mode power amplifier which incorporates the signal processing method and engine of the overcomes shortcomings of existing switching amplifiers, e.g. class "D" amplifiers. These shortcomings include: poor handling of highly reactive complex loads (e.g.