Title :
On the minimum phase property of prediction-error polynomials
Author :
Vaidyanathan, P.P. ; Tuqan, J. ; Kirac, A.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
fDate :
5/1/1997 12:00:00 AM
Abstract :
We provide a simple proof of the minimum phase property of the optimum linear prediction polynomial. The proof follows directly from the fact that the minimized prediction error has to satisfy the orthogonality principle. Additional insights provided by this proof are also discussed.
Keywords :
error analysis; filtering theory; polynomials; prediction theory; FIR filter; minimized prediction error; minimum phase property; orthogonality principle; prediction-error polynomials; Autocorrelation; Finite impulse response filter; IIR filters; Lattices; Linear predictive coding; Nonlinear filters; Poles and zeros; Polynomials;
Journal_Title :
Signal Processing Letters, IEEE
