Digital Signal Processing

This repository contains MATLAB implementations for the Digital Signal Processing (DSP) Homework from Istanbul Technical University, focusing on convolution analysis and FIR filter design.

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Content Overview

1. Convolution Analysis

• Linear Convolution: Implemented using MATLAB's conv function.
• Circular Convolution: Explored 4-point and 8-point cases using cconv.
• FFT-Based Convolution: Performed 8-point circular convolution using FFT and IFFT.

2. FIR Filter Design

• Designed low-pass FIR filters using Kaiser, Hamming, Hanning, and Blackman windows.
• Parameters:
  • Passband Ripple: 0.1 dB
  • Stopband Attenuation: 40 dB
• Analyzed magnitude and phase responses for performance comparison.

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Results

• Convolution: Highlighted aliasing effects in circular convolution and verified FFT-based convolution equivalence.
• FIR Filters: Kaiser Window provided optimal performance, while other windows demonstrated trade-offs.

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Author

Buğrahan Adalı

• Email: adalibugrahan@gmail.com
• LinkedIn: Bugrahan Adali