Implementation of Fast Fourier Transform with MATLAB Code Examples

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Resource Overview

Complete MATLAB implementation guide for Fast Fourier Transform (FFT) and Inverse FFT (IFFT), featuring practical applications including linear convolution computation, IIR digital filter design, and FIR digital filter experiments with full source code and simulation results

Detailed Documentation

This documentation provides comprehensive resources for implementing Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT) using MATLAB. The implementation utilizes MATLAB's built-in fft() and ifft() functions with proper signal padding and frequency domain processing techniques. Additionally, we include detailed experiments on linear convolution using FFT-based methods with zero-padding to avoid circular convolution artifacts, IIR digital filter design employing bilinear transformation and pole-zero placement methods, and FIR digital filter implementations using windowing techniques and frequency sampling approaches. All resources are accompanied by complete source code demonstrating algorithm implementation and corresponding simulation plots showing frequency response characteristics, time-domain signals, and filter performance metrics.

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