Title :
On line spectral frequencies
Author :
Kleijn, W. Bastiaan ; Backstrom, Tom ; Alku, Paavo
Author_Institution :
Dept. of Signals, R. Inst. of Technol., Stockhom, Sweden
fDate :
3/1/2003 12:00:00 AM
Abstract :
The commonly used line spectral frequencies form the roots of symmetric and antisymmetric polynomials constructed from a linear predictor. We provide a new, simpler proof that the symmetric and antisymmetric polynomials can be regarded as optimal constrained predictors that correspond to predicting from the low-pass and high-pass filtered signal, respectively.
Keywords :
filtering theory; high-pass filters; low-pass filters; online operation; prediction theory; spectral analysis; antisymmetric polynomials; high-pass filtered signal; line spectral frequencies; linear prediction; linear predictor; low-pass filtered signal; online spectral frequencies; optimal constrained predictors; speech coding; symmetric polynomials; Acoustic sensors; Frequency; Interpolation; Low pass filters; Polynomials; Quantization; Sensor systems; Speech coding; Vectors;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.809035
