From Signal Space To STP-CS

Fuente: arXiv
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Main Author: Cheng, Daizhan
Format: Preprint
Published: 2024
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author Cheng, Daizhan
author_facet Cheng, Daizhan
contents Under the assumption that a finite signal with different sampling lengths or different sampling frequencies is considered as equivalent, the signal space is considered as the quotient space of $\mathbb{R}^{\infty}$ over equivalence. The topological structure and the properties of signal space are investigated. Using them some characteristics of semi-tensor product based compressed sensing (STP-CS) are revealed. Finally, a systematic analysis of the construction of sensing matrix based on balanced incomplete block design (BIBD) is presented.
format Preprint
id arxiv_https___arxiv_org_abs_2411_12999
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle From Signal Space To STP-CS
Cheng, Daizhan
Systems and Control
Under the assumption that a finite signal with different sampling lengths or different sampling frequencies is considered as equivalent, the signal space is considered as the quotient space of $\mathbb{R}^{\infty}$ over equivalence. The topological structure and the properties of signal space are investigated. Using them some characteristics of semi-tensor product based compressed sensing (STP-CS) are revealed. Finally, a systematic analysis of the construction of sensing matrix based on balanced incomplete block design (BIBD) is presented.
title From Signal Space To STP-CS
topic Systems and Control
url https://arxiv.org/abs/2411.12999