Title :
On minimum/maximum/all-pass decompositions in time and frequency domains
Author :
Kumaresan, Ramdas ; Rao, Ashwin
Author_Institution :
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
fDate :
10/1/2000 12:00:00 AM
Abstract :
We model a signal over T seconds by a pole-zero model by considering its periodic extensions. Using this model, we decompose the signal into its minimum-phase (MinP)/maximum-phase (MaxP) and all-phase (AllP) components. A simple algorithm for this decomposition that does not seem to have a counterpart in the cepstral literature is presented, This decomposition leads to representing signals by their envelope and instantaneous frequency that takes on positive values only. Nonperiodic signals can be processed by appropriately windowing the signals
Keywords :
cepstral analysis; filtering theory; frequency-domain analysis; poles and zeros; signal representation; time-domain analysis; AllP signal; MaxP signal; MinP signal; all-phase components; cepstral analysis; complex-valued periodic signals; envelope; filter transfer functions; frequency domain; instantaneous frequency; maximum-phase component; minimum-phase component; nonperiodic signals; pole-zero model; signal decomposition; signal representation; time domain; time windowing; Algorithm design and analysis; Cepstral analysis; Cepstrum; Fourier transforms; Frequency domain analysis; Frequency response; Poles and zeros; Polynomials; Signal analysis; Signal processing;
Journal_Title :
Signal Processing, IEEE Transactions on
