The apparatus includes a plurality of correlation processors configured to each receive a group of samples and generate correlations of each group of samples; a plurality of multipliers each configured to multiply the correlations of one of the plurality of correlation processors by a weight, wherein the weight of at least one of the plurality of multipliers is different from the weight of at least another one of the plurality of multipliers; a summation processor configured to sum the weight multiplied correlations of the plurality of multipliers for time n, where n is an integer; and a coarse timing and coarse frequency processor configured to generate a coarse timing and a coarse frequency based on the sum.