### Course Overview

• Class meets MWF at 11AM in Duncan Hall 1064.
• Laboratories will be held Thursday afternoons from 2:30-5:30PM and Friday afternoons from 2-5 PM, all in Abercrombie A141.
• Concept review session Mondays, 7-9 PM, Duncan Hall 1064.
• Instructor Office Hours: Thursdays 1-4 PM, Abercrombie A221.

The course’s objectives are to provide, through homework and tutorials, the technical foundations for succeeding courses in electrical engineering and, through the laboratory, the practical foundations.
Prerequisites: Math 101, 102.

### Course Outline

Elements of signal and system theory

• Block diagrams: sources, systems, sinks

Signal and system analysis

• Analog
• Signal theory: time-domain concepts of amplitude, delay, superposition
• Representation of signals by electronic quantities (electric, optical)
• Elementary circuit theory
• Circuit laws; series and parallel configurations
• Power dissipation
• Equivalent circuits
• Impedance
• Basic analog circuit building block: the op-amp
• Frequency Domain
• Fourier series; signal decomposition; notion of bandwidth
• Sampling theorem
• Digital
• A/D conversion; amplitude quantization; data rate
• Discrete-time signals and systems

Information Transmission

• Analog (AM) communication
• Modulation and demodulation
• Noise (SNR, WGN)
• Linear filters for noise reduction
• Digital communication
• Entropy and Shannon's Coding Theorem
• Lossless and lossy compression; redundancy
• Channel coding; error correcting codes; transmission rate
• Capacity; Shannon's Noisy Channel Coding Theorem

Fundamentals of Communication System Design

### Course Objectives

1. Mathematically describe and manipulate complex exponential signals and linear, time-invariant systems that operate on them;
2. Apply Kirchhoff’s Laws, equivalent circuit models, and transfer functions to analyze voltage and current relationships in passive circuits;
3. Apply formal node analysis to analyze the operation of basic op-amp circuits;
4. Use Fourier series representation of periodic signals to perform frequency domain analysis of linear time-invariant systems;
5. Apply properties of the Fourier transform to describe and analyze the operation of Amplitude Modulation (AM) for communicating information;
6. Specify how to encode and recover a bandlimited signal with a digital sequence using the sampling theorem and amplitude quantization;
7. Analyze the behavior of digital systems on discrete-time signals using the Discrete-Time Fourier Transform (DTFT);
8. Calculate the complexity of implementing discrete-time filtering using the Fast Fourier Transform; describe and analyze discrete-time filtering of analog signals;
9. Describe the operation of baseband and modulated communication systems, and analyze the signal-to-noise ratio of AM systems;
10. Explain the use of binary phase-shift keying (BPSK) for communicating digital information with analog signals, and performance of BPSK in the presence of noise;
11. Construct simple source compression codes and error-correcting codes, and explain their application in digital communication of information;
12. Use Shannon’s Source Coding and Channel Capacity Theorems to compare the tradeoffs between using digital and analog methods for communicating information.

This is the first course in a two course sequence, the second being ELEC 242.

### Required Texts

Johnson and Wise, ELEC 241, Connexions course pak
Wise and Johnson, ELEC 241 Laboratory Manual
A lab notebook will be required for each lab group.

08/19/2013