Sub-Nyquist Coherent Imaging Using an Optimizing Multiplexed Sampling Scheme

Yeonwoo Jeong

doi:10.1109/MSP.2023.3310710

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Sub-Nyquist Coherent Imaging Using an Optimizing Multiplexed Sampling Scheme

2023-11-01

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Yeonwoo Jeong *

Behnam Tayebi

Jae‐Ho Han

DOI：10.1109/MSP.2023.3310710

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Abstract

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Several techniques have been developed to overcome the limitation of sensor bandwidth for 2D signals [1]. Though compressive sensing is an attractive technique that reduces the number of measurements required to record information on a sparse signal basis [2], [3], recording information beyond the Nyquist frequency remains difficult when working with nonsparse signals. Given this constraint, this article focuses on the use of the physical bandwidth of a coherent signal in the complex form instead of its intensity form. The resulting trick combines holographic multiplexing with sampling scheme optimization to obtain the information in a 2D coherent signal from beyond the Nyquist frequency range. The prerequisites for understanding this article are a knowledge of basic algebra and the Fourier transform. Familiarity with holography is also beneficial.

Keywords:

Time-frequency analysis

Fourier transforms

Bandwidth

Holography

Distortion

Frequency measurement

Recording