Allerton 2015 Paper Abstract

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Paper ThB5.3

Kipnis, Alon (Stanford University), Eldar, Yonina (Technion, Israel Institute of Technology), Goldsmith, Andrea (Stanford University)

Optimal Trade-Off between Sampling Rate and Quantization Precision in A/D Conversion

Scheduled for presentation during the Regular Session "Sparse Signal Processing" (ThB5), Thursday, October 1, 2015, 11:10−11:30, Lower Level

53rd Annual Allerton Conference on Communication, Control, and Computing, Sept 29-Oct 2, 2015, Allerton Park and Retreat Center, Monticello, IL, USA

This information is tentative and subject to change. Compiled on November 19, 2019

Keywords Source Coding and Compression, Information Theory, Statistical Signal Processing

Abstract

The jointly optimized sampling rate and quantization precision in A/D conversion is studied. In particular, we consider a basic pulse code modulation A/D scheme in which a stationary process is sampled and quantized by a scalar quantizer. We derive an expression for the minimal mean squared error under linear estimation of the analog input from the digital output, which is also valid under sub-Nyquist sampling. This expression allows for the computation of the sampling rate that minimizes the error under a fixed bitrate at the output, which is the result of an interplay between the number of bits allocated to each sample and the distortion resulting from sampling. We illustrate the results for several examples, which demonstrate the optimality of sub-Nyquist sampling in certain cases.

 

 

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