Courses | Dr. Balu Santhanam

Homework

PS # 1.0: complete the following problems from the Haykin textbook: 1.56 (b,d,j), 1.64 (a,e), 1.76, 1.77, 1.81, 1.84. Assigned: 08/28/18, Due date: 09/04/18
PS # 2.0: MATLAB assignment on convolution and filtering
PS # 3.0: complete the following problems from the Haykin textbook: 3.48a, 3.49b, 3.50 (a,e), 3.72, 3.85, Assigned: 09/27/2018, Due date: 10/04/2018

Exams

Term: Fall 2018
Instructor: Balu Santhanam
Pre-requisites: ECE-213 and Math-264.
Course Abstract: Linear systems analysis, Signal spectra: Fourier series/transform; AM/FM modulation and demodulation schemes; sampling theorem; discrete-time signals; discrete-time Fourier series and transform; elements of the Z-transform. Introduction to the MATLAB Signal Processing Toobox

Class Notes
[Expand]Classification of Signals and Systems

Classification of Signals
Classification of Systems
Wikipedia: On the Geometric Progression
Example: LTI system
Knowledge Probe
Example: Classification of Systems
Singularity functions

[Expand]Convolution Theorem

Impulse Response and Convolution
Note on the Scale and Reflection Systems
R-C voltage divider circuit
Causality and Stability Revisited
Evaluating the Convolution Integral
Example 1: convolution
Example 2: convolution
Example: More Convolution
LTI Systems and Frequency Response
Example: convolution and stability Applications of Convolution

[Expand]Fourier Series

Notes on the Inner Product
Fourier Series Expansion
Example: Fourier Series Representation
Parseval's Theorem
Trigonometric Fourier Series
Fourier Series and LTI Systems
Sinusoidal Response of R-C circuit
Example: Fourier Series
L-R Example: Fourier-Series
Example: Half-Wave Rectifier

[Expand]Fourier Transform

Limiting form of Fourier Series
Continuous Time Fourier Transform
Fourier Transform of periodic signals
Example of CTFT
Example of DTFT
Parsevals Theorem
Notes on Operational Amplifiers
Design of Pole-Zero Combination
Example: Convolution Theorem
On the Ideal LPF
Example: DTFT
DTFT tables

[Expand]Sampling Theorem

Nyquist Sampling Theorem

[Expand]Bilateral Laplace and Zee Transforms

Laplace Transform Table
Example: Bilateral Laplace Inversion - I
Example: Bilateral Laplace Inversion - II
Z-transform Pairs
Notes on the Z-transform
Z-transform: two-sided sequence
Z-transform: power-series
Z-transform: differentiation property

References
Course Outline/Syllabus
MATLAB Primer
Solutions to Problems