Digital Signal Processing Simulation System

This project implements a comprehensive digital signal processing simulation system with a graphical user interface. The system provides functionality for generating and selecting multiple digital signal types including sine waves, square waves, triangular waves, speech signals, noise signals, and their superimposed combinations. The implementation utilizes mathematical functions and algorithms for signal generation, with waveform parameters adjustable through GUI controls. The system incorporates Discrete Fourier Transform (DFT) and Discrete Cosine Transform (DCT) capabilities for frequency domain analysis, implemented using efficient FFT algorithms and matrix operations. Additionally, the system features filter design components that implement low-pass, high-pass, and band-pass filtering through digital filter designs (such as FIR/IIR filters), with configurable cutoff frequencies and filter characteristics. The output provides both frequency domain characteristics and time series analysis, enabling users to visualize signal transformations and filtering effects. This simulation system serves as an educational tool for understanding fundamental DSP principles and their practical applications through interactive experimentation.