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Sample reduction during signal detection using difference sets and almost difference sets

Thesis (MEng(Electronic Engineering))--University of Pretoria, 2019.

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Other Authors: Du Plessis, Warren Paul
Format: Thesis
Language:English
Published: University of Pretoria 2019
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access_status_str Open Access
author2 Du Plessis, Warren Paul
author_browse Du Plessis, Warren Paul
author_facet Du Plessis, Warren Paul
collection Thesis
dc_rights_str_mv © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Thesis (MEng(Electronic Engineering))--University of Pretoria, 2019.
format Thesis
id oai:repository.up.ac.za:2263/71132
institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:39:11.459Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2019
publishDateRange 2019
publishDateSort 2019
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/71132 Sample reduction during signal detection using difference sets and almost difference sets Du Plessis, Warren Paul waderaysmith@gmail.com Smith, Wade Raymond Signal detection Non-uniform sampling Difference sets Almost difference sets Sub-Nyquist sampling Thesis (MEng(Electronic Engineering))--University of Pretoria, 2019. Wide signal bandwidths typically require receivers performing signal detection to collect very large quantities of data. However, in applications with limited size, weight and power (SWAP) requirements, reducing the amount of data becomes important for proper operation. Most existing sample reduction approaches rely on reconstruction algorithms to compensate for the missing data, but these are often computationally complex. Therefore, in this work sample reduction without reconstruction is considered. This work proposes an approach to discarding samples prior to detection using difference sets (DSs) and almost difference sets (ADSs) – exploiting their sidelobe and cyclic properties – to minimise the negative impact on detection performance. Included are mathematical analyses, simulations, and experiments with practical data evaluating the effects of this technique on the detection performance. This work demonstrates that while the lack of a reconstruction algorithm does introduce interference, this is reduced when using DSs and ADSs compared to when samples are discarded at random, and the use of these sets allows predictions about performance to be made beforehand using only the set parameters. Additionally, the proposed technique performs much faster than detection with reconstruction, while having a reasonable decrease in detection performance. GEW Electrical, Electronic and Computer Engineering MEng(Electronic Engineering) Unrestricted 2019-08-19T10:28:46Z 2019-08-19T10:28:46Z 2019-09-02 2019 Dissertation * S2019 http://hdl.handle.net/2263/71132 en © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle Signal detection
Non-uniform sampling
Difference sets
Almost difference sets
Sub-Nyquist sampling
Sample reduction during signal detection using difference sets and almost difference sets
title Sample reduction during signal detection using difference sets and almost difference sets
title_full Sample reduction during signal detection using difference sets and almost difference sets
title_fullStr Sample reduction during signal detection using difference sets and almost difference sets
title_full_unstemmed Sample reduction during signal detection using difference sets and almost difference sets
title_short Sample reduction during signal detection using difference sets and almost difference sets
title_sort sample reduction during signal detection using difference sets and almost difference sets
topic Signal detection
Non-uniform sampling
Difference sets
Almost difference sets
Sub-Nyquist sampling
url http://hdl.handle.net/2263/71132