1 March 1998 Statistical study of an acousto-optic correlator in terms of its bandwidth
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Optical Engineering, 37(3), (1998). doi:10.1117/1.601928
An acousto-optic correlator (AOC) associated with pseudorandom sequences (PRS), as used in spread spectrum receivers, is considered. Simple expressions are derived for the output signal-to-noise ratio of an AOC in two cases: when the frequency response H(f) of the correlator is equal to rect(f/?f) or equal to sinc(?f/?f), where rect(x) is the rectangle function, sinc(x) = sinx/x and ?f is the correlator bandwidth. These simple expressions are given in terms of the ratio a of the code bit rate Fc of the PRS to the bandwidth Af of the AOC. It will be shown that when H(f) = rect(f/?f) and a is greater than 2, a loss results in the output signal-to-noise ratio approximately equal to 1/? with respect to an ideal (infinite bandwidth) AOC. When H(f) = sinc(?f/?f) the loss equals 1.5/?.
Atika Rivenq, Jamal Assaad, Bazzi Oussama, F. Haine, "Statistical study of an acousto-optic correlator in terms of its bandwidth," Optical Engineering 37(3), (1 March 1998). http://dx.doi.org/10.1117/1.601928

Signal to noise ratio

Optical correlators


Interference (communication)

Fourier transforms


Electronic filtering

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