Title :
Modeling of fractional-order signals from their ramp cepstra
Author :
Schmidlin, Dean J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Massachusetts, North Dartmouth, MA, USA
Abstract :
A method is presented which computes the ramp cepstrum of a fractional-order signal and models the ramp cepstrum as a signal having a rational z-transform. A partial fraction expansion of the resulting model identifies the exponents of the fractional-order signal. An example is presented to illustrate the method.
Keywords :
Z transforms; cepstral analysis; discrete time systems; polynomials; signal processing; Gegenbauer polynomials; discrete-time fractional-order signals; fractional-order signal exponents; fractional-order signal modeling; partial fraction expansion; ramp cepstrum; rational z-transform; Cepstrum; Dielectrics; Elasticity; Impedance; Polarization; Polynomials; Rhythm; Signal processing; Transmission lines; Viscosity;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
DOI :
10.1109/TCSII.2003.816930
