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A novel approach in synthesizing digital filters for signal processing applications is presented. This approach is an extension of the frequency sampling method of nonrecursive filter synthesis. Appropriate time delays are used in conjunction with a set of parallel complex exponential resonators whose outputs are summed to yield a desired filter impulse response. This synthesis method takes advantage of the known signal waveform structure and results in many fewer digital computations as compared to convolution processing. This approach is particularly suited to synthesis of matched filters for radar signal processing and yields matched or approximately matched filters which simultaneously have very low storage and very low computational requirements.