Linear Frequency Modulated Signal Spectrum and Matched Filtering with Source Code Implementation

This implementation demonstrates the creation and analysis of linear frequency modulated (LFM) signals along with their matched filtering process using MATLAB. The code architecture considers both the spectral characteristics of the signal and the design principles of matched filters. Key implementation aspects include generating LFM signals using chirp() function with configurable parameters (start/end frequencies, time duration), performing spectral analysis through FFT operations with proper windowing techniques, and designing matched filters based on the time-reversed conjugate of the transmitted signal. The code incorporates clear variable naming conventions (e.g., chirp_signal, matched_filter, output_snr) and comprehensive comments explaining each processing stage. Users can experiment with different parameter configurations such as bandwidth variations, pulse widths, and sampling rates to observe their impact on system performance. Algorithm optimizations include vectorized operations for efficient computation and SNR maximization techniques through optimal filter design. Performance enhancement features allow testing various window functions (Hamming, Hanning) for spectral analysis and comparing different correlation methods for matched filtering implementation. The modular code structure facilitates easy integration with radar or communication system simulations.