On the Acquisition of Stationary Signals Using Uniform ADCs

Autor:	Neuhaus, Peter, Shlezinger, Nir, Dörpinghaus, Meik, Eldar, Yonina C., Fettweis, Gerhard
Rok vydání:	2022
Předmět:	Computer Science - Information Theory Electrical Engineering and Systems Science - Signal Processing
Druh dokumentu:	Working Paper
Popis:	In this work, we consider the acquisition of stationary signals using uniform analog-to-digital converters (ADCs), i.e., employing uniform sampling and scalar uniform quantization. We jointly optimize the pre-sampling and reconstruction filters to minimize the time-averaged mean-squared error (TMSE) in recovering the continuous-time input signal for a fixed sampling rate and quantizer resolution and obtain closed-form expressions for the minimal achievable TMSE. We show that the TMSE-minimizing pre-sampling filter omits aliasing and discards weak frequency components to resolve the remaining ones with higher resolution when the rate budget is small. In our numerical study, we validate our results and show that sub-Nyquist sampling often minimizes the TMSE under tight rate budgets at the output of the ADC. Comment: Accepted for presentation at the 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Singapore. Extended version including proofs. Includes corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.05143 Zobrazit plný text záznamu View this record from Arxiv