Some results in the theory of crosstalk-free transmultiplexers

The crosstalk-free transmultiplexer (CF-TMUX) focuses on crosstalk cancellation (CC) rather than on suppressing it. The authors present an analysis of the CF-TMUX based on the polyphase component matrices of the filter banks used in TDM to FDM and FDM to TDM conversions, respectively. Thus a necessary and sufficient condition for complete CC is obtained. It is shown that the filters for a CF-TMUX are the same as the filters for a 1-skewed alias free QMF bank. In addition, if the QMF bank satisfies the perfect reconstruction (PR) property, then the TMUX also satisfies PR. The relation between CF-TMUX filters and alias-free QMF banks is used to obtain a direct design procedure for CF-TMUX filters (both FIR and IIR). It is also shown that approximately crosstalk-free TMUX filters can be obtained from any approximately alias-free QMC bank. Design examples and comparison tables are included. >

[1]  Truong Q. Nguyen,et al.  Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices , 1989, IEEE Trans. Acoust. Speech Signal Process..

[2]  S. Freeny,et al.  TDM/FDM translation as an application of digital signal processing , 1980, IEEE Communications Magazine.

[3]  P. Vaidyanathan,et al.  Design of doubly-complementary IIR digital filters using a single complex allpass filter, with multirate applications , 1987 .

[4]  P. Vaidyanathan,et al.  Theory and design of uniform DFT, parallel, quadrature mirror filter banks , 1986 .

[5]  P. P. Vaidyanathan,et al.  Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property , 1987, IEEE Trans. Acoust. Speech Signal Process..

[6]  Martin Vetterli,et al.  Perfect transmultiplexers , 1986, ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[7]  H. Gockler,et al.  A comprehensive survey of digital transmultiplexing methods , 1981, Proceedings of the IEEE.

[8]  Georges Bonnerot,et al.  Digital Processing Techniques in the 60 Channel Transmultiplexer , 1978, IEEE Trans. Commun..

[9]  Joseph Rothweiler,et al.  Polyphase quadrature filters-A new subband coding technique , 1983, ICASSP.

[10]  M. Bellanger.  On Computational Complexity in Digital Transmultiplexer Filters , 1982, IEEE Trans. Commun..

[11]  P. Chu.  Quadrature mirror filter design for an arbitrary number of equal bandwidth channels , 1985, IEEE Trans. Acoust. Speech Signal Process..

[12]  Martin Vetterli,et al.  Computationally efficient QMF filter banks , 1984, ICASSP.

[13]  Truong Q. Nguyen,et al.  Maximally decimated perfect-reconstruction FIR filter banks with pairwise mirror-image analysis (and synthesis) frequency responses , 1988, IEEE Trans. Acoust. Speech Signal Process..

[14]  Z. Picel,et al.  Flexible design of computationaly efficient nearly perfect QMF filter banks , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[15]  P. Vaidyanathan.  Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques , 1987, IEEE ASSP Magazine.

[16]  P. P. Vaidyanathan,et al.  Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial , 1990, Proc. IEEE.

[17]  P. P. Vaidyanathan,et al.  Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks , 1988, IEEE Trans. Acoust. Speech Signal Process..

[18]  Georges Bonnerot,et al.  Digital filtering by polyphase network:Application to sample-rate alteration and filter banks , 1976 .

[19]  Sanjit K. Mitra,et al.  Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: a unified approach based on pseudocirculants , 1988, IEEE Trans. Acoust. Speech Signal Process..

[20]  Martin Vetterli,et al.  A theory of multirate filter banks , 1987, IEEE Trans. Acoust. Speech Signal Process..

[21]  Richard V. Cox,et al.  The design of uniformly and nonuniformly spaced pseudoquadrature mirror filters , 1986, IEEE Trans. Acoust. Speech Signal Process..