Title :
Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The basic concepts and building blocks in multirate digital signal processing (DSP), including the digital polyphase representation, are reviewed. Recent progress, as reported by several authors in this area, is discussed. Several applications are described, including subband coding of waveforms, voice privacy systems, integral and fractional sampling rate conversion (such as in digital audio), digital crossover networks, and multirate coding of narrowband filter coefficients. The M-band quadrature mirror filter (QMF) bank is discussed in considerable detail, including an analysis of various errors and imperfections. Recent techniques for perfect signal reconstruction in such systems are reviewed. The connection between QMF banks and other related topics, such as block digital filtering and periodically time-varying systems, is examined in a pseudo-circulant-matrix framework. Unconventional applications of the polyphase concept are discussed
Keywords :
digital filters; encoding; filtering and prediction theory; signal processing; M-band quadrature mirror filter; QMF banks; block digital filtering; building blocks; digital audio; digital crossover networks; errors; filter banks; fractional sampling rate conversion; multirate coding; multirate digital signal processing; narrowband filter coefficients; periodically time-varying systems; polyphase networks; signal reconstruction; subband coding; voice privacy systems; Digital filters; Digital signal processing; Error analysis; Filter bank; Mirrors; Narrowband; Privacy; Signal reconstruction; Signal sampling; Tutorial;