Title :
The digital all-pass filter: a versatile signal processing building block
Author :
Regalia, Phillip A. ; Mitra, Sanjit K. ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
fDate :
1/1/1988 12:00:00 AM
Abstract :
The properties of digital all-pass filters are reviewed and a broad overview of the diversity of applications in digital filtering is provided. Starting with the definition and basic properties of a scalar all-pass function, a variety of structures satisfying the all-pass property are assembled, with emphasis placed on the concept of structural losslessness. Applications are then outlined in notch filtering, complementary filtering and filter banks, multirate filtering, spectrum and group-delay equalization, and Hilbert transformations. In all cases, the structural losslessness property induces very robust performance in the face of multiplier coefficient quantization. Finally, the state-space manifestations of the all-pass property are explored, and it is shown that many all-pass filter structures are devoid of limit cycle behavior and feature very low roundoff noise gain
Keywords :
all-pass filters; digital filters; Hilbert transformations; complementary filtering; digital all-pass filter; filter banks; group-delay equalization; limit cycle behavior; multiplier coefficient quantization; multirate filtering; notch filtering; robust performance; roundoff noise gain; scalar all-pass function; structural losslessness; versatile signal processing building block; Assembly; Buildings; Digital filters; Digital signal processing; Filter bank; Filtering; Limit-cycles; Noise robustness; Performance loss; Quantization;
Journal_Title :
Proceedings of the IEEE