Abstract: The present invention is a filter design that extracts information from a signal by employing D scale nonuniform sampling. In one embodiment a D scale multiresolution sampler, filter bank router, filter bank sampler controller, phase shifter, and consolidator constitute a maximal arrangement for a D scale FIR/IIR filter design.

Abstract: The present invention is a filter design that extracts information from a signal by employing D scale nonuniform sampling. In one embodiment a D scale multiresolution sampler, filter bank router, filter bank sampler controller, phase shifter, and consolidator constitute a maximal arrangement for a D scale FIR/IIR filter design.

Abstract: The motivation for this invention evolved from a realization that a critical component was excluded from the information flow through a conventional digital filter, whether static or adaptive. Inputs can typically include the current input sample, previous samples, a priori knowledge Response and reference data. But the A/D sampler is not directly incorporated into the actual filter. Thus, standard filter design typically begins with a vector of uniformly sampled input data Fundamentally, non-uniform sampling of volatile signal can glean more information about a signal than uniform sampling at the Nyquist rate (if indeed that rate is known a-priori). Additional information might be gleaned from simultaneous pseudo-random non-uniform sampling, along with trend or volatility non-uniform sampling. In contrast to judicious non-uniform sampling, uniform sampling can be sub-optimal in extracting information per unit of effort expended.

Abstract: A method for sampling a signal for signal processing, such as calculating the coefficients of a Fourier or other transform of the signal. The sampling occurs at sampling points which are the union of sets of points, each set being points separated by regular intervals of 1/pn where pn is a prime number. Where the signal is not accurately reconstructed from the sampled values the method recurses and increases the set of distinct primes. The invention relies upon the incommensurate nature of different primes to prevent the invention from degenerating into an inefficient sampling technique such as using regular intervals would provide. The scale, termed a D scale, is applicable to problems in diverse domains such as signal processing, including digital signal processing (DSP), image processing, scientific and engineering computational applications, data acquisition and statistical data analysis.