Sampling of band-limited signals with nonuniform sampling-time and bit-depth

Mohammad Sadegh Mohammadi, Eryk Dutkiewicz, Qi Zhang

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

Abstract

To reproduce a band-limited continuous-time signal with optimal fidelity, usually it is sampled at the Nyquist sampling rate and then the sample values are quantized. In nonuniform sampling, the total number of samples are reduced in expense of adding some reconstruction complexity and assuming prior information about the signal. In this paper we propose nonuniform sampling-time with nonuniform bit resolution per sample (bit-depth) to reduce the total required bit budget (i.e. the number of samples timed the bit-depth) even further. This idea is based on the fact that the maximum local variation of band-limited signals is bounded in a given time horizon. Therefore, it is not necessary to allocate a fixed bit-depth proportional to the signal's dynamic range to each sample. Instead, we try to allocate adaptively only the needed number of bits to represent the next sample considering the physical characteristics of the signal. Both sampling and reconstruction entities can generate the next sampling-times and bit-depths locally by observing the current and previous samples only. We propose different techniques in our generalized sampling framework that share a common sampling architecture. Here we only consider ECG signals for evaluation purpose. Based on the simulation results, the total number of required bits to reconstruct the signal with negligible distortion can be reduced up to 88% without imposing any form of transform coding compression.

Original languageEnglish
Title of host publicationGLOBECOM 2015
Subtitle of host publicationIEEE Global Communications Conference Proceedings
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1-7
Number of pages7
ISBN (Electronic)9781479959525
DOIs
Publication statusPublished - 2015
Event58th IEEE Global Communications Conference, GLOBECOM 2015 - San Diego, United States
Duration: 6 Dec 201510 Dec 2015

Other

Other58th IEEE Global Communications Conference, GLOBECOM 2015
CountryUnited States
CitySan Diego
Period6/12/1510/12/15

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  • Cite this

    Mohammadi, M. S., Dutkiewicz, E., & Zhang, Q. (2015). Sampling of band-limited signals with nonuniform sampling-time and bit-depth. In GLOBECOM 2015: IEEE Global Communications Conference Proceedings (pp. 1-7). Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/GLOCOM.2014.7417106