Ambiguity Function of Pseudo-Random Codes with Visualization Features

This program implements the ambiguity function for pseudo-random codes, providing valuable insights into their correlation properties and time-frequency characteristics. The implementation calculates the complex ambiguity function using efficient correlation algorithms, typically employing fast convolution techniques or FFT-based approaches for optimal computational performance. When executing the program, users can observe a detailed ambiguity function plot that visualizes the time-delay and Doppler frequency relationships. This visualization aids in understanding the code's resolution capabilities and sidelobe structure through comprehensive data representation. The program incorporates zero-delay cross-section analysis, enabling immediate computation of the Doppler response at zero time delay without processing delays. This feature utilizes real-time calculation methods, potentially employing vectorized operations or precomputed correlation tables for instantaneous results. Additionally, the implementation includes zero-Doppler cross-section functionality, allowing analysis of the time-delay response at zero frequency offset. The algorithm maintains this capability across different frequency configurations through robust signal processing techniques that handle various sampling rates and carrier frequencies. The software generates contour plots that effectively represent the ambiguity function's topography, revealing important signal characteristics and pattern distributions. These contour visualizations employ interpolation algorithms and level-setting methods to clearly depict the mainlobe structure, sidelobe patterns, and resolution boundaries, facilitating deeper understanding of the code's performance metrics and detection capabilities in various operational scenarios.