From Signal Space To STP-CS

Daizhan Cheng

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arXiv · 2411.12999

From Signal Space To STP-CS

Daizhan Cheng

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Abstract

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.

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Daizhan Cheng. 2024-11-20. From Signal Space To STP-CS. https://arxiv.org/abs/2411.12999

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