Abstract
This paper investigates the signal detection of multiple chirps based on the discrete chirp-Fourier transform (DCFT). The detection method based on signal energy is proposed and the detection performance is analyzed. Firstly, the relationship of signal energy in both the time and DCFT domain is analyzed. An important property is presented, that is, the total energy of the signal in the time domain is equal to the sum of energy along the direction of constant frequency in the DCFT domain. The detection decision threshold of the multicomponent chirp signal is derived in ideal noiseless environment. Secondly, by analyzing the characters of the additive independent identical distribution Gaussian white noise in the DCFT domain, the modified detection decision threshold of the multicomponent chirp signal is determined in noisy environment. Finally, the simulation results show the effectiveness of the proposed method.
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