An Integral Transform and Its Applications in Parameter Estimation of LFM Signals

This paper proposes a new transform called simplified linear canonical transform (SLCT) that provides a new method for parameter estimation of linear frequency-modulated (LFM) chirp signals embedded in additive white Gaussian noise. The proposed transform is a linear transform and has a more succinct form as compared with the fractional Fourier transform (FRFT). The discrete SLCT with fast Fourier transform (FFT) algorithm provides a computationally fast choice for LFM signal detection or parameter estimation. Using SLCT and a clean technique, all the components of Multi-LFM signals can be estimated seriatim. Simulations illustrate that the proposed algorithm is more effective than existing ones.

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