Acousto-optic processors for real-time generation of time–frequency representations

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Abstract
Acousto-optic processors for calculating different two-dimensional (2-D) time–frequency representations for one-dimensional temporal signals in real time are described. The various 2-D representations discussed in the literature, such as the Wigner distribution and the ambiguity function, are shown to be obtainable through minor variations in an acousto-optic processor consisting of two Bragg cells in a parallel configuration. Also obtained and discussed are two new time–frequency representations that, for amplitude-modulated signals, correspond to mean-frequency-selective correlation and Doppler-frequency-selective convolution. Experimental results are presented to highlight the special features of the different time–frequency representation.