A quantitative SNR analysis of linear chirps in the continuous-time short-time Fourier transform domain with Gaussian windows

We present a quantitative signal-to-noise ratio (SNR) analysis of linear chirps in the continuous-time short-time Fourier transform (STFT) domain using Gaussian windows; the 3 dB SNR definition is used. It is compared with the SNR in the time and the Fourier transform domains. Some numerical examples are shown to illustrate the theory.