Signal Processing via Cross-Dimensional Projection
Systems and Control
2024-10-31 v1 Systems and Control
Abstract
Using projection between Euclidian spaces of different dimensions, the signal compression and decompression become straightforward. This encoding/decoding technique requires no preassigned measuring matrix as in compressed sensing. Moreover, in application there is no dimension or size restrictions. General formulas for encoding/decoding of any finite dimensional signals are provided. Their main properties are revealed. Particularly, it is shown that under the equivalence assumption the technique provides the best approximation with least square error.
Keywords
Cite
@article{arxiv.2410.22779,
title = {Signal Processing via Cross-Dimensional Projection},
author = {Daizhan Cheng},
journal= {arXiv preprint arXiv:2410.22779},
year = {2024}
}