TY - GEN
T1 - Optimal trade-off between sampling rate and quantization precision in A/D conversion
AU - Kipnis, Alon
AU - Eldar, Yonina C.
AU - Goldsmith, Andrea J.
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2016/4/4
Y1 - 2016/4/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84969835848&partnerID=8YFLogxK
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U2 - 10.1109/ALLERTON.2015.7447129
DO - 10.1109/ALLERTON.2015.7447129
M3 - Conference contribution
AN - SCOPUS:84969835848
T3 - 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
SP - 1083
EP - 1090
BT - 2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
Y2 - 29 September 2015 through 2 October 2015
ER -