Short-Time Fourier Transform of Linear Frequency Modulated Signals

In this article, we explore the concept and applications of Short-Time Fourier Transform (STFT) for analyzing Linear Frequency Modulated (LFM) signals. LFM signals, also known as chirp signals, are characterized by a frequency that varies linearly with time. The STFT method decomposes signals into their frequency components over short time intervals using a sliding window approach. By combining these techniques, we can effectively characterize and analyze the time-frequency properties of chirp signals. From an implementation perspective, STFT for LFM signals typically involves windowing functions (like Hamming or Hanning windows), Fourier transform operations, and spectral analysis algorithms. Key MATLAB functions for implementation include spectrogram() for STFT computation and chirp() for generating LFM signals. This combined approach finds extensive applications in communication systems, radar signal processing, and audio analysis. Mastering this technique enables deeper understanding and practical application of LFM signal characteristics in various engineering domains.