Title :
The bond between causal complex cepstra and Sheffer polynomials
Author :
Schmidlin, Dean J.
Abstract :
A strong bond is established between causal complex cepstra and Sheffer polynomials. This bond results in the generation of parametric classes of discrete-time signals and their associated complex cepstra. These signals generally have more advanced singularities than the poles of signals with rational z-transforms. Examples are presented which illustrate the behavior of signals having branch points and essential singularities.
Keywords :
Z transforms; cepstral analysis; polynomials; Sheffer polynomial sets; causal complex cepstra; discrete-time signals; parametric signal classes; rational z-transforms; Bonding; Cepstral analysis; Cepstrum; Helium; Polynomials; Signal analysis; Signal generators; Signal processing; Sonar applications; Speech processing;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.840478
