Generation of Nonlinear Frequency Modulated Signals

In this study, we thoroughly investigate the generation process of nonlinear frequency modulated (NLFM) signals and visualize the relationship between group delay and frequency modulation curves using graphical plots. The implementation typically involves defining a nonlinear frequency modulation law using polynomial or trigonometric functions, followed by phase accumulation integration to generate the baseband signal. Additionally, we perform pulse compression processing using matched filtering techniques, where the core algorithm involves cross-correlation computation between the transmitted signal and its time-reversed conjugate. We conduct comparative analyses between windowed and non-windowed processing approaches, demonstrating how window functions (such as Hamming or Kaiser windows) affect sidelobe suppression and mainlobe width in the compressed pulse. These experimental results provide crucial insights for deeply understanding the characteristics of nonlinear frequency modulated signals, particularly regarding time-frequency distribution optimization and pulse compression performance enhancement.