Plotting Time-Domain Waveform of Linear Frequency Modulation Signal with MATLAB Implementation

In this experiment, we will utilize MATLAB to plot the time-domain waveform of a linear frequency modulation signal and conduct spectral analysis. Spectral analysis is a technique that decomposes signals into their frequency components, helping us understand signal characteristics and properties. During this process, we will also examine how sampling frequency and signal-to-noise ratio affect spectral analysis results. For implementation, we will generate LFM signals using MATLAB's chirp function with custom parameters including start/end frequencies and time duration. The FFT algorithm will be applied for spectral analysis, with proper windowing techniques to minimize spectral leakage. We'll demonstrate how varying sampling rates (following Nyquist theorem) and adding Gaussian noise at different SNR levels impact frequency resolution and spectral clarity. Through this experiment, we will gain deeper understanding of LFM signals and fundamental principles of spectral analysis, establishing a solid foundation for future learning and research. The code implementation will include key MATLAB functions like chirp(), fft(), and awgn() for signal generation, transformation, and noise addition respectively.