## Course Content and Outcome Guide for ENGR 223

Date:
08-AUG-2012
Posted by:
Curriculum Office
Course Number:
ENGR 223
Course Title:
Electrical Circuits III
Credit Hours:
5
Lecture hours:
40
Lecture/Lab hours:
0
Lab hours:
30
Special Fee:
\$12

#### Course Description

Covers Laplace Transform analysis. The transfer function, convolution, bode plots, and Fourier series are used to analyze circuits. Passive and active filters are designed and analyzed using these new circuit analysis techniques. Circuit simulation, math analysis software, and laboratory experiments are incorporated to solidify classroom theory and practice. Prerequisite: ENGR 222 Prerequisite or concurrent enrollment: MTH 256. Audit available.

#### Intended Outcomes for the course

Æ½ Analyze systems in the frequency domain
Æ½ Convert electrical systems between frequency and time domain
Æ½ Design and analyze various filter topologies

#### Outcome Assessment Strategies

`Assessment methods are to be determined by the instructor. Typically, in class exams and quizzes, and homework assignments will be used. Lab work is typically assessed by a lab notebook, formal lab reports, performance of experiments, and possibly a lab exam.`

#### Course Content (Themes, Concepts, Issues and Skills)

Discrete Time Signals and Systems

1. Continuous vs. discrete time signals
2. Exponential and sinusoidal signals
3. Unit impulse and step functions
4. Continuous and discrete time systems
5. System properties of memory, causality, stability, linearity and time invariance

Linear Time Invariant (LTI) Systems

1. Superposition property of LTI systems
2. Convolution Sum for discrete LTI systems
3. Properties of the convolution sum for discrete time LTI systems
4. LTI systems described by difference equations
5. Natural and forced response, impulse and step response

Fourier Series Representation of Periodic Signals

1. Response of LTI systems to complex exponentials - eigenfunctions & eigenvalues
2. Convergence of Fourier series, Dirichlet conditions and Gibbs phenomenon
3. Discrete time Fourier series
4. Steady state response of LTI systems to periodic signals
5. First order RC filters and discrete time filters

Discrete Time Fourier Transform

1. Representation of aperiodic signals
2. Convergence of the DTFT
3. Properties of the DTFT
4. Fourier transform of periodic signals
5. The convolution property and its relationship to the DTFT
6. Duality between the DTFT, DTFS and CTFT
7. The relationship between the DTFT and the FFT

Time and Frequency Characterization of Signals and Systems

1. Magnitude and phase characteristics, linear and nonlinear phase
2. FIR vs. IIR discrete time filters
3. Ideal and non-ideal filter properties
4. 1st and 2nd order discrete time systems

Sampling

1. Impulse train and zero order hold sampling
2. Signal reconstruction and interpolation
3. The sampling theorem
4. Aliasing
5. Discrete time processing of continuous signals

Communication Systems

1. Complex exponential modulation
2. Sinusoidal amplitude modulation
3. Synchronous & asynchronous demodulation
4. Frequency division multiplexing
5. Single sideband amplitude modulation

The Z-Transform

1. The two sided transform and region of convergence
2. The inverse transform
3. Geometric interpretation of poles and zeros
4. Properties of the two sided transform
5. Impulse response, convolution and the system function of DT LTI system
6. Causality and stability criteria of LTI systems
7. LTI characterization by linear difference equations
8. Transient and steady state response of LTI systems
9. The one sided z-transform