Minimum Separation of Line Spectral Frequencies

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-cen...

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Bibliographic Details
Published in:IEEE signal processing letters 2007-02, Vol.14 (2), p.145-147
Main Authors: Backstrom, T., Magi, C., Alku, P.
Format: Article
Language:English
Subjects:
Autocorrelation
Chebyshev approximation
Computation
Decomposition
Delay
Frequency
Grid computing
Immittance spectrum pair
line spectrum pair
linear prediction
Polynomials
Predictive models
root finding
Roots
Separation
Signal processing
Signal processing algorithms
Spectral lines
Speech coding
Speech processing
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Description
Summary: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
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2006.881514