Title :
Minimum Separation of Line Spectral Frequencies
Author :
Bäckström, Tom ; Magi, Carlo ; Alku, Paavo
Author_Institution :
Lab. of Acoust. & Audio Signal Process., Helsinki Univ. of Technol., Espoo
Abstract :
We provide a theoretical lower limit on the distance of line spectral frequencies for both the line spectrum pair decomposition and the immittance spectrum pair decomposition. The result applies to line spectral frequencies computed from linear predictive polynomials with all roots within a zero-centered circle of radius r<1
Keywords :
polynomials; spectral analysis; line spectral frequencies; linear predictive polynomials; zero-centered circle; Autocorrelation; Chebyshev approximation; Delay; Frequency; Grid computing; Polynomials; Predictive models; Signal processing algorithms; Speech coding; Speech processing; Immittance spectrum pair; line spectrum pair; linear prediction; root finding; speech coding;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.881514
