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A chirplet transform-based algorithm for detection of radar targets moving with a constant acceleration is analyzed. An analytical expression has been derived for the ambiguity function of the chirp signal to be analyzed with regard to detection of such targets. The characteristic widths of the ambiguity function along the coordinates frequency and rate of its change are estimated. The gain in the signal-to-noise ratio, that provides the suggested algorithm as compared with application of the standard Fourier transform to detection of the chirp signals against a ?white? noise background, is evaluated. It is shown that already with a comparatively small (<20) number of the processing channels (elementary filters with respect to the frequency change rate) the gain in the signal-to-nose ratio exceeds 10 dB. A skeleton diagram of implementation of the suggested algorithm based on the use of multichannel weighted Fourier transform is presented. Recommendations have been developed as for selection of the detection algorithm parameters.