Ultrasonic signal compressive detection with sub-Nyquist sampling rate

Abstract

This study presents a compressed sensing (CS) based sampling approach for repetitive ultrasonic signal. Proposed system considers recovering ultrasonic signal with high equivalent sampling frequency from samples captured using analog-to-digital converter (ADC) clocked at a rate lower than Nyquist rate. A basis function is constructed to realize ultrasonic signal sparse representation, which paves the way for applying CS theory to ultrasonic signal sub-Nyquist sampling. A sampling architecture, applicable for ultrasonic compressive detection, is developed. With this sampling system, an ultrasonic signal sampled at ultralow rate, but still can be recovered with overwhelming probability.