https://github.com/oamkotb/ece340_labs

Collection of all my Discrete Time Signals and Systems (ECE 340) lab reports and code, which utilize MATLAB for simulation.
https://github.com/oamkotb/ece340_labs

matlab processing signal z-transform

Last synced: about 1 month ago
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Collection of all my Discrete Time Signals and Systems (ECE 340) lab reports and code, which utilize MATLAB for simulation.

• Host: GitHub
• URL: https://github.com/oamkotb/ece340_labs
• Owner: oamkotb
• Created: 2024-09-25T07:49:13.000Z (3 months ago)
• Default Branch: master
• Last Pushed: 2024-11-18T23:33:16.000Z (about 2 months ago)
• Last Synced: 2024-11-19T00:25:52.668Z (about 2 months ago)
• Topics: matlab, processing, signal, z-transform
• Language: MATLAB
• Homepage:
• Size: 9.5 MB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Discrete Time Signals and Systems (ECE 340) Labs

This repository contains a collection of my code and reports written for the Discrete Time Signals and Systems (ECE 340) course. The labs in this collection focus on fundamental concepts in signal processing, including discrete-time systems, convolution, sampling, Z-transforms, and filtering.

## Labs Overview

### Lab 1: Introduction to Discrete-Time Signals and Systems

In this lab, I explored key MATLAB functionalities, including plotting multiple 1-D functions on a single figure, reading and writing audio signals in .wav format, and handling digital images in .jpg format. Additionally, I analyzed system response by calculating and visualizing the output of discrete-time systems. These tasks provided foundational skills for working with multimedia data and simulating signal processing systems.

### Lab 2: Convolution, Sampling, and Aliasing

In this lab, I explored key concepts in signal processing, focusing on convolution, sampling, and aliasing. I started by analyzing the convolution of discrete functions using MATLAB, plotting the results and verifying them using different methods. Then, I examined the impact of convolving signals with an impulse response. I also investigated the effects of aliasing on 1D sinusoidal signals and 2D images. By resizing images with and without anti-aliasing, I observed how high-frequency components became distorted. Finally, I demonstrated how low-pass filtering can help reduce the effects of aliasing.

### Lab 3: Z-Transform and Transform Analysis of LTI Systems

In this lab, I explored the concepts of Z-transform and inverse Z-transform, analyzed the pole-zero diagrams of causal linear systems, and examined their stability and causality. I used MATLAB to compute and plot the impulse responses of systems, derive transfer functions, and visualize the pole-zero locations and frequency responses. Through these tasks, I verified the theoretical properties of stability and causality and gained insights by comparing analytical and computational results.

### Lab 4: Spectrum Estimation of Multimedia Signals

### Lab 5: Filtering Multimedia Signals Using an FIR Filter

## How to Use

- **MATLAB:** All MATLAB scripts are self-contained and can be run directly in the MATLAB environment.

- **LaTeX:** Each lab includes a LaTeX report that documents the theory, results, and analysis of the experiments conducted in MATLAB. To compile the LaTeX files, use any LaTeX editor (e.g., TeXShop, Overleaf, etc.).

## Requirements

- MATLAB R2021a or later

- A LaTeX distribution (e.g., TeX Live, MiKTeX) for compiling the reports