Time Division Multiplexing: From a Co-Prime Sampling Point of View

TL;DR

This paper introduces a time multiplexing approach to co-prime sampling, optimizing the use of sub-samplers and extending the theory to achieve more efficient signal acquisition.

Contribution

It proposes a novel time multiplexing strategy for co-prime sampling, including new theoretical expressions and a generalized sparse sampling structure.

Findings

Efficient utilization of vacant sampling slots.

Closed-form expressions for weight functions.

Successful acquisition of signals with fewer samplers.

Abstract

Co-prime sampling is a strategy for acquiring the signal below the Nyquist rate. The prototype and extended co-prime samplers require two low rate sub-samplers. One of the sub-samplers in the extended co-prime scheme is not utilized for every alternate co-prime period. Therefore, this paper proposes a time multiplexing strategy to utilize the vacant slots. It describes the deviation from the existing theory. Closed-form expressions for weight functions are provided. Acquisition of two signals is described with three samplers as well as two samplers. A generalized structure is also proposed with an extremely sparse co-prime sampling strategy.