ece4305_lab1

Ece4305_lab1 - ECE4305 Software-Defined Radio Systems and Analysis Lab 1 Understanding the Tools for SDR Design and Analysis Objective This

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Unformatted text preview: ECE4305: Software-Defined Radio Systems and Analysis Lab 1: Understanding the Tools for SDR Design and Analysis Objective This laboratory will introduce some of the theory behind several digital communications concepts. It will also introduce MATLAB TM and Simulink TM as a development tool for digital communication systems design and implementation. Contents 1 Theoretical Preparation 2 1.1 Random Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Central Limit Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Gaussian Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.4 The Q Function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.5 Power Spectral Density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.6 Complex Baseband & Signal Representation . . . . . . . . . . . . . . . . . . . . . . . 4 1.7 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 Simulation 7 2.1 Random Number Generators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.1 Step 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.2 Step 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.3 Step 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.4 Step 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 AM Transmission in MATLAB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 An Introduction to Simulink . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3.1 Data Sequence Generators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3.2 AM Transmission in Simulink . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3 GNU Radio Implementation 11 3.1 Basic Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.2 Frequency Offset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.3 Digital Communication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.4 IEEE 802.11 Wireless . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 4 Analysis & Synthesis 14 5 Lab Report Instructions 14 1 1 Theoretical Preparation These fundamental concepts of digital communication systems will serve as a basis for the implemen- tation and design of systems later on in this course. 1.1 Random Variables A random variable (rv) is a mapping function whose domain is a sample space and whose range is some set of real numbers: X = X ( s ) (1) where X is the rv and X ( s ) is the outcome of an experiment. The cumulative distribution function (CDF) describes how the rv behaves probabilistically, and is defined as: F x ( x ) = P ( X ≤ x ) . (2) Consequently, this means the probability that the outcome of an experiment described by the rv...
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This note was uploaded on 01/13/2011 for the course ECE 4305 taught by Professor Wy during the Spring '10 term at WPI.

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Ece4305_lab1 - ECE4305 Software-Defined Radio Systems and Analysis Lab 1 Understanding the Tools for SDR Design and Analysis Objective This

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