Abstract

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Title:: Finite rate of innovation sparse samplingfor a binary frequency-coded ultrasonic signal

Author(s):: Song Shoupeng; Chen Yiqian; Xu Baowen; Qiu Yue; School of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, China

Keywords:: coded ultrasonic signal; finite rate of innovation; high-order moment; sparse sampling; circuit implementation

PACS:: TB551

DOI:: 10.3969/j.issn.1003-7985.2022.01.005

Abstract:: To achieve sparse sampling on a coded ultrasonic signal, the finite rate of innovation(FRI)sparse sampling technique is proposed on a binary frequency-coded(BFC)ultrasonic signal. A framework of FRI-based sparse sampling for an ultrasonic signal pulse is presented. Differences between the pulse and the coded ultrasonic signal are analyzed, and a response mathematical model of the coded ultrasonic signal is established. A time-domain transform algorithm, called the high-order moment method, is applied to obtain a pulse stream signal to assist BFC ultrasonic signal sparse sampling. A sampling of the output signal with a uniform interval is then performed after modulating the pulse stream signal by a sampling kernel. FRI-based sparse sampling is performed using a self-made circuit on an aluminum alloy sample. Experimental results show that the sampling rate reduces to 0.5 MHz, which is at least 12.8 MHz in the Nyquist sampling mode. The echo peak amplitude and the time of flight are estimated from the sparse sampling data with maximum errors of 9.324% and 0.031%, respectively. This research can provide a theoretical basis and practical application reference for reducing the sampling rate and data volume in coded ultrasonic testing.

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

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