A practical means is presented for the design of a coherent Integrating Filter （GIF） covering the whole doppler frequency range with a single channel

as it is much simpler than the usual way of implementing the coherent integration by a large number of parallel channels each matched at a different doppler frequency

therefore it is easier to implement and superior than the parallel matched filters scheme. The paper has analyzed the principle of operation of the GIF

pointed out that it is equivalent to a set of high frequency sweeping comb filters but with no sweeping loss. GIF implements the optimum receiver by inclined cutting the Woodward’s "uncertainty function" as contrast with the ax-is parallel cutting implemented by the matched filters.The block diagram of a radar system with GIF is presented in the last section and the choice of some system parameters is explained.