Optimum Quantization Parameters for a Normalized Correlator with Gaussian Input,

摘要

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.