Units: 4 (3 Lecture/1 Discussion)
Prerequisites: EEC 100
Catalog Description: Characterization and analysis of discrete time systems. Difference equation models. Z-transform analysis methods. Frequency Analysis. Discrete and fast Fourier transforms. Digital Filtering. GE Credit: QL, SE
ABET Student Outcomes:
Students who have completed this course should have achieved:
a) Student Outcome 1: an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
b) Student Outcome 2: an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors.
c) Student Outcome 6: an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
Expanded Course Description:
I. Discrete Signals and Systems
A. Discrete signals, system classification
B. Difference equations
C. Linear time invariant systems
D. Impulse response and input-output relationship in time domain
E. Discrete convolution
II. Z-Transform
A. Definition, region of convergence
B. Properties and examples of the Z-transform
C. The inverse Z-transform
D. The transfer function and stability
E. Solving of difference equations in the Z-domain
F. Convolution as polynomial multiplication (input/output relationship)
III. Transform Analysis of Linear Time Invariant Systems
A. Frequency response, discrete-time Fourier transform
B. Frequency domain input/output relationship
C. Frequency response: magnitude and phase response, group delay
D. Lowpass, bandpass, and high pass filters
E. Allpass, minimum-phase systems
F. Linear phase filters
IV. Digital Filtering Structures and Implementations
A. Block diagrams and signal flow graphs
B. Direct forms, cascade, parallel forms
C. Transposed form
D. Filtering of random digital signals
E. Power spectrum density
V. Discrete and Fast Fourier Transforms
A. The DFT and its properties
B. Circular convolution, relation with linear convolution
C. Overlap and add, overlap and save implementations of long convolutions
D. Decimation in time FFT
E. Decimation in frequency FFT
VI. Digital Signals and Continuous-time Signals (A/D and D/A conversions)
A. Continuous time signals and Fourier transform
B. Properties of Fourier transform
C. Sampling theorem and frequency domain analysis of sampling and aliasing (A/D)
D. Reconstruction of bandlimited continuous time signals by samples (D/A)
E. Discrete-time implementation of continuous-time filters
