English

From Signal Space To STP-CS

Systems and Control 2024-11-21 v1 Systems and Control

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 R\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.

Keywords

Cite

@article{arxiv.2411.12999,
  title  = {From Signal Space To STP-CS},
  author = {Daizhan Cheng},
  journal= {arXiv preprint arXiv:2411.12999},
  year   = {2024}
}
R2 v1 2026-06-28T20:05:48.513Z