Optimum analog receive filters for detection and inference under a sampling rate constraint

Manuel Stein, Andreas Lenz, Amine Mezghani, Josef A. Nossek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

The problem of optimum analog receive filtering for digital signal detection and parameter estimation is considered. Here the case of a signal source with bandwidth Bt and a receiver with fixed sampling rate fs is discussed under the assumption that 2Bt > fs. We investigate the impact of adjusting the receive bandwidth Br of the analog pre-filter, which is applied prior to the sampler, with respect to the deflection coefficient or the Fisher information measure. This reveals that the design rule 2Br < fs, known as the sampling theorem, does not necessarily lead to optimum system performance. Studying the two analytical information measures under a fix sampling rate fs and an arbitrary choice of Br, we provide an example where receive setups with 2Br > fs achieve higher detection and parameter estimation performance.

Original languageEnglish
Title of host publication2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1827-1831
Number of pages5
ISBN (Print)9781479928927
DOIs
StatePublished - 2014
Event2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014 - Florence, Italy
Duration: 4 May 20149 May 2014

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Conference

Conference2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
Country/TerritoryItaly
CityFlorence
Period4/05/149/05/14

Keywords

  • analog filtering
  • detection theory
  • estimation theory
  • satellite-based positioning
  • sub-Nyquist sampling

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