Audio quantization from a receding horizon control perspective

By introducing psycho-acoustical aspects, the audio quantization problem is translated into a finite horizon optimal control problem with a finite input constraint set. An explicit solution is obtained. Its receding horizon implementation gives rise to the receding horizon quantizer (RHQ). The RHQ corresponds to a closed loop, which embeds the widely-adopted noise shaping quantizer in a broader framework and allows for enhanced performance. Furthermore, suboptimal algorithms are described and their behaviour illustrated by means of an example.

[1]  Kenneth C. Pohlmann,et al.  Principles of Digital Audio , 1986 .

[2]  Michael A. Gerzon,et al.  Optimal Noise Shaping and Dither of Digital Signals , 1989 .

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

[4]  Robert A. Wannamaker Psychoacoustically Optimal Noise Shaping , 1992 .

[5]  Kenzo Akagiri,et al.  Super Bit Mapping: Psychoacoustically Optimized Digital Recording , 1992 .

[6]  William C. Treurniet,et al.  Objective Perceptual Measurement of Audio Quality , 1996 .

[7]  Brian C. J. Moore Masking in the Human Auditory System , 1996 .

[8]  M. Sandler,et al.  Adaptive sigma-delta modulation for use in DACs , 1996 .

[9]  Mark Sandler,et al.  Psychoacoustically Optimal Sigma-Delta Modulation , 1997 .

[10]  T. A. Badgwell,et al.  An Overview of Industrial Model Predictive Control Technology , 1997 .

[11]  Graham C. Goodwin,et al.  Anti-windup and Model Predictive Control: Reflections and Connections* , 2000, Eur. J. Control.

[12]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[13]  Graham C. Goodwin,et al.  RECEDING HORIZON LINEAR QUADRATIC CONTROL WITH FINITE INPUT CONSTRAINT SETS , 2002 .

[14]  T. Johansen,et al.  COMPLEXITY REDUCTION IN EXPLICIT LINEAR MODEL PREDICTIVE CONTROL , 2002 .

[15]  Graham C. Goodwin,et al.  INVERSE PROBLEMS WITH CONSTRAINTS , 2002 .

[16]  Graham C. Goodwin,et al.  Moving horizon optimal quantizer for audio signals , 2003 .

[17]  G. Goodwin,et al.  Finite constraint set receding horizon quadratic control , 2004 .