In traditional signal sampling process, Shannon - Nyquist (Shoon-Nyquist) sampling theorem is a fundamental
principle that must be followed, in that the sampling frequency must be at least twice the highest frequency of the
sampled signal. However, with the increasing of data acquisition capabilities of sensing systems, acquisition of
high-resolution images will inevitably lead to a flood of sampling data according to Shoon-Nyquist sampling theorem,
which increases the cost of data transport and storage, and also the demand for the resolution of the detector. Donoho and
Candes proposed the compressed sensing theory which is considered as a revolutionary breakthrough in that it breaks
Shoon-Nyquist sampling frequency requirements. For compressible or sparse signals, signal sampling can be
implemented with the sampling frequency that is less than that of Shoon-Nyquist sampling theorem, and the signal is
also compressed meanwhile. This paper studied compressive coding imaging based on optical wavelet transform coupled
with the frequency spectrum coding. The imaging quality can be enhanced by introducing optical wavelet transform for
pre-treatment of the target image before the compression coding on the frequency spectrum plane. Simulation results
show that higher quality images can be obtained with the pre-treatment of optical wavelet transform than that of purely
optical Fourier transform without any increasing of the transmitted data. With the proposed method, we have conducted
the numerical simulations. The results show that the proposed compression sampling method can achieve the real-time
compression sampling of the images without distortion, and a compression ratio of 4:1 can be obtained.
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