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The frequency emitted by pass-by cars suffer from the Doppler Effect when recorded from an outside listener’s point of view. This frequency shift could be estimated by means of the Short Time Fourier Transform (STFT). However, when increasing analysis window in order to improve frequency resolution, one usually gets a blurred representation. The Short-Time Fan-Chirp Transform (STFChT), considered a generalization of the STFT, allows one to improve frequency resolution, since the fundamental frequencies of existing sources are now modelled as first order polynomials. This representation improves the frequency shift estimation, which in turn aids in parameters extraction from such signals, as original fundamental frequency, velocity and acceleration.