The Design of Compressive Sensing Filter

TL;DR

This paper presents a universal compressive sensing filter design using various normal filters and microstrip structures, enabling sub-Nyquist sampling and exact reconstruction of sparse signals with theoretical guarantees.

Contribution

It introduces a flexible, structure-based compressive sensing filter design that can be realized with different physical structures, ensuring efficient sparse signal acquisition.

Findings

Enables sub-Nyquist sampling of sparse signals

Achieves exact reconstruction with measurements proportional to Slog(n)

Provides a practical filter design using defected ground structures

Abstract

In this paper, the design of universal compressive sensing filter based on normal filters including the lowpass, highpass, bandpass, and bandstop filters with different cutoff frequencies (or bandwidth) has been developed to enable signal acquisition with sub-Nyquist sampling. Moreover, to control flexibly the size and the coherence of the compressive sensing filter, as an example, the microstrip filter based on defected ground structure (DGS) has been employed to realize the compressive sensing filter. Of course, the compressive sensing filter also can be constructed along the identical idea by many other structures, for example, the man-made electromagnetic materials, the plasma with different electron density, and so on. By the proposed architecture, the n-dimensional signals of S-sparse in arbitrary orthogonal frame can be exactly reconstructed with measurements on the order of Slog(n) with overwhelming probability, which is consistent with the bonds estimated by theoretical analysis.