Title :
Chromatic derivative filter banks
Author :
Narasimha, M.J. ; Ignjatovic, A. ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., Stanford Univ., CA, USA
fDate :
7/1/2002 12:00:00 AM
Abstract :
A new contribution to generalized sampling of bandlimited signals based on the so-called chromatic derivative operators was recently introduced by Ignjatovic (see Kromos Technology, Los Altos, CA. [Online] Tech. Rep. 1, 2001). Chromatic derivatives are linear combinations of the ordinary derivatives, where the coefficients of the combination are derived from orthogonal polynomial theory. This article describes the connection between these operators and the well-established ideas of perfect reconstruction and biorthogonality in analog filter banks.
Keywords :
Chebyshev filters; bandlimited signals; channel bank filters; signal reconstruction; signal sampling; Chebyshev-Bessel filter bank; analog filter banks; bandlimited signals; biorthogonality; chromatic derivative filter banks; chromatic derivative operators; combination coefficients; generalized sampling; interpolating functions; linear combinations; ordinary derivatives; orthogonal polynomial theory; perfect reconstruction; Band pass filters; Channel bank filters; Chebyshev approximation; Encoding; Filter bank; Polynomials; Signal analysis; Signal synthesis; Taylor series; Visualization;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2002.801720
