Low complexity multiple bits matched filter

摘要

Method and system for efficiently and quickly forming a sequence of convolution values from an over-sampled digital signal sequence. Convolution value differences are computable from a set of digital signal values that is smaller than the original set of signal values by a factor of R, the over-sampling rate. The number of adders and the associated time delay for computation of the convolution differences are reduced by at least a factor R and by at least a factor approximately proportional to log2(R), respectively, as compared to conventional computation of a convolution value. This approach is used to estimate a time value for which the convolution attains a largest magnitude or value.