Ambiguity Function of LFM Pulse Train

This document describes a radar system designed for measuring target range and velocity using key parameters including taup (pulse width), n (number of pulses in the train), pri (pulse repetition interval), and bw (LFM bandwidth). Our system outputs an x bimodal function array that facilitates easier data processing and analysis. The implementation involves generating coherent pulse trains with linear frequency modulation and computing cross-correlation functions to extract target parameters.

Specifically, the system utilizes taup to define the duration of transmitted radar pulses, while n determines the number of pulses in each coherent processing interval. The pri parameter controls the timing between successive pulse transmissions, crucial for velocity estimation through Doppler processing. The bw parameter specifies the frequency sweep range during each pulse, enabling high-range resolution through pulse compression techniques. In code implementation, these parameters are typically defined as floating-point variables with input validation to ensure physical feasibility.

Beyond these fundamental parameters, our radar system employs specialized signal processing algorithms to generate the x bimodal function array. This output is achieved through a two-stage processing chain: first applying matched filtering for pulse compression, followed by Doppler processing using FFT-based spectral analysis across multiple pulses. The resulting bimodal function representation enhances data interpretability by separating range and velocity components, allowing clearer target discrimination. This approach simplifies data analysis workflows and accelerates information extraction in practical radar applications.