Optimum Quantization Parameters for a Normalized Correlator with Gaussian Input,
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True-normalized correlators which use either an analog or a quantized reference and a hard-limited-received signal have been applied to underwater acoustic measurements with a pseudorandom signal. This type of signal, together with a large number of quantization levels in the reference channel, yields a true-normalized correlator that is, the average correlator output is proportional to the correlation coefficient of the inputs. The purpose of this note is to obtain quantitative results for the deviation from a true-normalized correlator when a small number of quantization levels are used in the reference channel. Results indicate that, for a linear quantizer with a fixed number N of quantization levels, there exists an optimum-input-signal strength for a given quantization range.
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