1. A subband channelizer, comprising: a demultiplexer that receives input samples of a signal and distributes said input samples to a plurality of channelizer filter banks, wherein each of the input samples is assigned to one of said plurality of channelizer filter banks; a Fourier transformation module that receives outputs from said plurality of channelizer filter banks and performs Fourier transformation on each of the outputs of said channelizer filters, such that said Fourier transformation module outputs a plurality of Fourier signals; and a plurality of multiplier modules that receive said Fourier signals, such that each of said Fourier signals is assigned to one of said plurality of multiplier modules so that each of said Fourier signals is multiplied with an exponential value assigned to each of said plurality of multiplier modules to produce oversampled subbands.