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Experimental results from a smart pixel implementation of the wavelet transformation for signal processing

Recently, there has been a great deal of interest in the application of wavelet transforms to signal processing applications. Fundamentally, the wavelet transform of a signal is the correlation of the signal with a basis function derived from a mother wavelet and its called versions called daughter wavelets. Thus any real-time correlator can be sued for the implementation of the wavelet transform. Since a 1D input signal produces a 2D wavelet transform, optical correlators provide a natural advantage over conventional electronic implementations. Examples of optical correlation architecture include the VanderLugt correlator, the joint transform correlator and its derivative, the quasi-Fourier transform joint transform correlator. Any optical correlator architecture can be used to implement the wavelet transform provided a suitable spatial light modulator is used to convert the electrical input signal into an appropriate optical signal. The concept of the smart pixel is to integrate both electronic circuitry and individual optical devices on a common integrated circuit to take advantage of the complexity and programmability of electronic processing circuits and the switching speed of optical devices. Arrays of these smart pixels would then bring with them the advantage of parallelism that optics provides. Smart pixel arrays can function as spatial light modulators providing additional electronic processing features at each individual pixel and therefore are naturally well-suited to realize the wavelet transform.