The design of weighted minimax quadrature mirror filters

A technique for converting the constrained nonlinear optimization problem encountered in the design of weighted minimax quadrature mirror filters into an iterative unconstrained nonlinear optimization problem is presented. This renders the design of weighted minimax quadrature mirror filters possible. The technique is very efficient, typically taking about seven iterations to converge. A rapidly converging iterative procedure for solving the above nonlinear unconstrained optimization problem is also presented. This procedure typically requires less than five iterations to converge. >

[1]  James L. Flanagan,et al.  Digital coding of speech in sub-bands , 1976, The Bell System Technical Journal.

[2]  James D. Johnston,et al.  A filter family designed for use in quadrature mirror filter banks , 1980, ICASSP.

[3]  C. Galand,et al.  New quadrature mirror filter structures , 1984 .

[4]  P. P. Vaidyanathan,et al.  Theory of uniform DFT, parallel, quadrature mirror filter banks , 1986, ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  D. Esteban,et al.  Application of quadrature mirror filters to split band voice coding schemes , 1977 .

[6]  Ronald E. Crochiere,et al.  An All Digital -Commentary Grade- Sub-Band Coder , 1979 .

[7]  Ronald E. Crochiere,et al.  Frequency domain coding of speech , 1979 .

[8]  Y. Lim.  Design of discrete-coefficient-value linear phase FIR filters with optimum normalized peak ripple magnitude , 1990 .

[9]  R. Crochiere.  On the design of sub‐band coders for low bit rate speech communications , 1976 .

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

[11]  Yong Ching Lim,et al.  A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design , 1992, IEEE Trans. Signal Process..

[12]  L. E. Bergeron.  A maximally flat filter design algorithm for quadrature mirror filters (QMF) , 1979, ICASSP.

[13]  Mark J. T. Smith,et al.  A unifying framework for analysis/Synthesis systems based on maximally decimated filter banks , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[14]  Yong Ching Lim,et al.  Complementary filtering technique for subband speech coder design , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.