Optoelectronic wavelet-processor implementations based on Smartt interferometry are described for both one-dimensional (1-D) and two-dimensional (2-D) wavelet transforms. The 1-D processor study focuses on the processor’s capability to perform the wavelet transform when the wavelets are defined in the time domain. The experimental results indicate that the system preserves all the phase information of the selected mother wavelets and thus delivers the true wavelet transform. The 2-D version of the processor is designed for the implementation of the complex wavelet transform. This processor will be valuable for applications, such as image coding-decoding, for which the preservation of phase information is necessary. A pair of prototype processors that incorporates. the 1-D and the 2-D systems has been built and tested to mechanical vibrations. High-quality reconstructed images were also obtained from the experimental data. The proposed systems have great potential for many practical applications.
© 1994 Optical Society of America
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