MATLAB Based Analysis of Synthetic Chirp Signals Using FFT and CWT
Authors:-Rudra Krishna
Abstract-This paper compares two popular methods for time-frequency analysis: the Fast Fourier Transform (FFT) and the Continuous Wavelet Transform (CWT) for a synthetic chirp signal wave. We apply these techniques to a chirp signal, which is a non-stationary signal with a frequency that changes over time. The results demonstrate the strengths and limitations of each method, highlighting the FFT’s ability to provide global frequency information and the CWT’s superior time-frequency localization. FFT renders the representation of signal only in the frequency domain. The CWT, using the morse wavelet, on other hand provides a more compact visualisation of the signal in both time and frequency domain visualising or representing the frequency domain of the signal simultaneously. The performance of these techniques is compared visually and computationally.
