Abstract: A system and method involve channelizing a received signal into two or more narrowband channels, each narrowband channel having an overlapping frequency portion, creating matched narrowband channels by matching the unknown amplitude, phase, and delay of at least two of the narrowband channels, coherently summing the matched narrowband channels into a wideband channel, and equalizing the wideband channel using an equalizing filter to generate a coherent wideband channel.

Abstract: A method for processing a digital signal, comprising the following steps: receiving a complex-valued input data array with a processor; converting the complex-valued input data array into a quantized polar domain by approximating magnitude and quantizing the phase data of the input data array with the processor; storing the approximated magnitude in a phase-column indexed matrix in a memory store that is operatively coupled to the processor; processing the input data array with the processor such that all multiplications and summations that would occur during signal processing of the input data array in the Cartesian domain are substituted with circular row shifts and additions of phase-column indexed values in the quantized polar domain; and converting the processed input data array back into the Cartesian domain.