Noise reduction in oversampled filter banks using predictive quantization

We introduce two methods for quantization noise reduction in oversampled filter banks. These methods are based on predictive quantization (noise shaping or linear prediction). It is demonstrated that oversampled noise shaping or linear predictive subband coders are well suited for subband coding applications where, for technological or other reasons, low-resolution quantizers have to be used. In this case, oversampling combined with noise shaping or linear prediction improves the effective resolution of the subband coder at the expense of increased rate. Simulation results are provided to assess the achievable quantization noise reduction and resolution enhancement, and to investigate the rate-distortion properties of the proposed methods.

[1]  Alexander Weinmann Uncertain Models and Robust Control , 2002 .

[2]  Robert Bregovic,et al.  Multirate Systems and Filter Banks , 2002 .

[3]  Helmut Bölcskei,et al.  Frame-theoretic analysis of oversampled filter banks , 1998, IEEE Trans. Signal Process..

[4]  F. Hlawatsch,et al.  Oversampled cosine modulated filter banks with perfect reconstruction , 1998 .

[5]  Martin Vetterli,et al.  Oversampled filter banks , 1998, IEEE Trans. Signal Process..

[6]  Helmut Bölcskei,et al.  Oversampled modulated filter banks , 1998 .

[7]  Vivek K. Goyal,et al.  Quantized Overcomplete Expansions in IRN: Analysis, Synthesis, and Algorithms , 1998, IEEE Trans. Inf. Theory.

[8]  A. Janssen The duality condition for Weyl-Heisenberg frames , 1998 .

[9]  Helmut Bölcskei,et al.  Oversampled filter banks: optimal noise shaping, design freedom, and noise analysis , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  M. Vetterli,et al.  Overcomplete expansions and robustness , 1996, Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96).

[11]  Helmut Bölcskei,et al.  Oversampled FIR and IIR DFT filter banks and Weyl-Heisenberg frames , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[12]  Nguyen T. Thao Vector quantization analysis of ΣΔ modulation , 1996, IEEE Trans. Signal Process..

[13]  Martin Vetterli,et al.  Lower bound on the mean-squared error in oversampled quantization of periodic signals using vector quantization analysis , 1996, IEEE Trans. Inf. Theory.

[14]  Meir Feder,et al.  Information rates of pre/post-filtered dithered quantizers , 1993, IEEE Trans. Inf. Theory.

[15]  Jelena Kovacevic,et al.  Wavelets and Subband Coding , 2013, Prentice Hall Signal Processing Series.

[16]  P. Wong Rate distortion efficiency of subband coding with crossband prediction , 1995, Proceedings of 1995 IEEE International Symposium on Information Theory.

[17]  Zoran Cvetkovic Oversampled modulated filter banks and tight Gabor frames in l/sup 2/(Z) , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[18]  Meir Feder,et al.  Rate-distortion performance in coding bandlimited sources by sampling and dithered quantization , 1995, IEEE Trans. Inf. Theory.

[19]  Vivek K Goyal Quantized Overcomplete Expansions : Analysis , Synthesis and Algorithms , 1995 .

[20]  P. P. Vaidyanathan,et al.  Vector space framework for unification of one- and multidimensional filter bank theory , 1994, IEEE Trans. Signal Process..

[21]  Martin Vetterli,et al.  Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimates , 1994, IEEE Trans. Signal Process..

[22]  Martin Vetterli,et al.  Wavelets and filter banks: theory and design , 1992, IEEE Trans. Signal Process..

[23]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[24]  Niels Juul Munch Noise reduction in tight Weyl-Heisenberg frames , 1992, IEEE Trans. Inf. Theory.

[25]  Gabor C. Temes,et al.  Oversampled, Linear Predictive and NoiseShaping Coders of Order N , 1992 .

[26]  Gabor C. Temes,et al.  Oversampling Delta Sigma Data Converters , 1991 .

[27]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[28]  Christopher Heil,et al.  Continuous and Discrete Wavelet Transforms , 1989, SIAM Rev..

[29]  Robert M. Gray,et al.  Oversampled Sigma-Delta Modulation , 1987, IEEE Trans. Commun..

[30]  Peter No,et al.  Digital Coding of Waveforms , 1986 .

[31]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[32]  K. H. Barratt Digital Coding of Waveforms , 1985 .

[33]  A. J. Jerri Correction to "The Shannon sampling theorem—Its various extensions and applications: A tutorial review" , 1979 .

[34]  S. Tewksbury,et al.  Oversampled, linear predictive and noise-shaping coders of order N g 1 , 1978 .

[35]  A. J. Jerri The Shannon sampling theorem—Its various extensions and applications: A tutorial review , 1977, Proceedings of the IEEE.

[36]  I. Miller Probability, Random Variables, and Stochastic Processes , 1966 .

[37]  C. Swanson On spectral estimation , 1962 .

[38]  N. Wiener,et al.  The prediction theory of multivariate stochastic processes, II , 1958 .

[39]  N. Wiener,et al.  The prediction theory of multivariate stochastic processes , 1957 .

[40]  R. Duffin,et al.  A class of nonharmonic Fourier series , 1952 .