Title :
Designing FIR perfect reconstruction systems given several of the analysis and synthesis filters
Author :
Kofidis, E. ; Theodoridis, S. ; Kalouptsidis, V.
Author_Institution :
Dept. of Inf., Athens Univ., Greece
Abstract :
This paper deals with the problem of designing an N-band maximally-decimated FIR analysis/synthesis system with the perfect-reconstruction property, when K of the filters in both the analysis and synthesis banks are selected beforehand. An algorithm for computing the N-K unknown analysis and synthesis filters is given and the solution set is completely parametrized. The parametrization leads to a ladder-type realization of the system, whose robustness in coefficient quantization and roundoff-error effects has been verified in the past. The linear-phase case is also discussed and conditions that the given synthesis filters must satisfy are stated. An example is provided to illustrate the theory
Keywords :
FIR filters; band-pass filters; digital filters; filtering theory; quantisation (signal); FIR perfect reconstruction systems design; N-band maximally-decimated FIR analysis; algorithm; analysis filters; coefficient quantization; ladder-type realization; linear-phase case; parametrization; roundoff-error effects; synthesis filters; Delay; Digital signal processing; Equations; Finite impulse response filter; Polynomials; Quantization;
Conference_Titel :
Digital Signal Processing Proceedings, 1997. DSP 97., 1997 13th International Conference on
Conference_Location :
Santorini
Print_ISBN :
0-7803-4137-6
DOI :
10.1109/ICDSP.1997.628202