Title :
Reflection coefficients of band-limited spectra and band-limited spectrum modeling
Author :
Chonavel, Thierry ; Dégerine, Serge
Author_Institution :
ENSTBr, Brest, France
fDate :
9/1/1999 12:00:00 AM
Abstract :
We study the properties of the reflection coefficients of band-limited spectra. We show that they must belong to simple subsets of the unit disk. Then, the problem of band-limited spectrum modeling is addressed in a more appropriate way than with approaches based on correlation coefficients. In particular, we derive a new band-limited spectrum model for band-limited signals with first correlation coefficients matching the signal ones. The practical behavior of the model is illustrated with an example
Keywords :
bandlimited signals; correlation methods; reflection; spectral analysis; band-limited signals; band-limited spectra; band-limited spectrum modeling; correlation coefficients matching; reflection coefficients; trigonometric moment problem; unit disk; Algorithm design and analysis; Autocorrelation; Maximum likelihood estimation; Polynomials; Reflection; Statistics; Sufficient conditions; Testing;
Journal_Title :
Information Theory, IEEE Transactions on
