Ambiguity Function of Pulse Train for Frequency Stepped Signals

This document presents a comprehensive MATLAB implementation for generating and analyzing the ambiguity function of frequency-stepped pulse trains. The code utilizes phased array system toolbox functions to construct stepped-frequency waveforms with configurable parameters including pulse repetition frequency, frequency step size, and number of pulses. Key algorithmic components include coherent pulse integration, Doppler processing, and cross-correlation techniques to compute the ambiguity function surface. The implementation features modular design with separate functions for signal generation, ambiguity function calculation, and 3D visualization using MATLAB's surf and contour plots. Users can customize waveform parameters to analyze resolution characteristics in both range and Doppler domains, with additional options for windowing functions to reduce sidelobe effects. Through practical code examples and detailed comments, this resource enables researchers to efficiently evaluate radar waveform performance for various frequency stepping configurations while maintaining computational efficiency through vectorized operations.