Single-bit Quantization Capacity of Binary-input Continuous-output Channels
Abstract
We consider a channel with discrete binary input X that is corrupted by a given continuous noise to produce a continuous-valued output Y. A quantizer is then used to quantize the continuous-valued output Y to the final binary output Z. The goal is to design an optimal quantizer Q* and also find the optimal input distribution p*(X) that maximizes the mutual information I(X; Z) between the binary input and the binary quantized output. A linear time complexity searching procedure is proposed. Based on the properties of the optimal quantizer and the optimal input distribution, we reduced the searching range that results in a faster implementation algorithm. Both theoretical and numerical results are provided to illustrate our method.
Cite
@article{arxiv.2001.01842,
title = {Single-bit Quantization Capacity of Binary-input Continuous-output Channels},
author = {Thuan Nguyen and Thinh Nguyen},
journal= {arXiv preprint arXiv:2001.01842},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2001.01836