Volterra Filter Construction for Nonlinear Distortion Analysis

This function constructs a Volterra filter specifically designed for nonlinear distortion testing in signal processing systems. As a MATLAB implementation, it provides a computational framework for modeling and analyzing nonlinear system responses. The Volterra filter represents an advanced filtering technique that approximates nonlinear system behaviors using a series expansion approach, effectively capturing signal distortions that linear filters cannot address. The implementation includes algorithms for calculating second and third-order Volterra kernels through cross-correlation methods, enabling accurate modeling of memory effects in nonlinear systems. Key functions involve: - Kernel initialization with symmetry optimization - Nonlinear system identification using least-squares estimation - Distortion analysis through higher-order frequency response calculations This MATLAB file facilitates both construction and testing procedures, allowing engineers to evaluate signal responses and distortion characteristics in nonlinear environments. The code supports customizable kernel orders and memory depths, making it suitable for various applications including audio processing, communication systems, and biomedical signal analysis where nonlinear distortion compensation is critical.