In a synthetic aperture radar system (SAR) having means for correlating range sampled data with a range reference function to produce the SAR response of range correlated data in sequential form, range line by range line in the time domain, apparatus for correlating said SAR response in the azimuth direction utilizing a block-pipelined Fast Fourier Transform (FFT) having a predetermined FFT transform size comprised of means for delaying said SAR response to embed in the Fourier transform operation a corner-turning function as said SAR response is converted from the time domain to a frequency domain, and including a transversal filter connected to receive said SAR response in the frequency domain, said transversal filter having means for accurate range migration compensation and means for multiplying said SAR response in the frequency domain with an azimuth reference function in the azimuth frequency domain.