Cal Poly Pomona
Electrical & Computer Engineering Department

ECE 306 - 01
Introduction to Discrete Time Signals & Systems

Instructor: Dr. Zekeriya Aliyazicioglu

Course Notes in PDF Format

Class

Topics

1

Signals, Systems, and Signal Processing. Basic Elements of a Digital Signal Processing. Signal Types

2

Continuous-Time Versus Discrete-Time Signals. Continuous-Valued Versus Discrete-Valued Signal. The Concept of Frequency in Continuous-Time and Discrete-Time Signal, Analog-to-Digital Conversion (ADC). Sampling of Analog Signals.

3

The Sampling Theorem. Nyquist rate, Example, Quantization of Continuous - Amplitude Signals.

Quantization of Sinusoidal Signal. The signal-quantization noise ratio. Digital-to-Analog Conversion. Problems and solutions

4
Introduction to Discrete-Time Signals. Discrete-Time Signals.Some Elementary Discrete-Time Signals. Classification of Discrete-Time Signal,Simple Manipulation of x(n)
5
Discrete-Time Signals and Systems , Analysis of Linear Time Invariant Systems (LTI), Causal LTI Systems
6
Analysis of Linear Systems, The convolution Sum, The convolution Sum, Properties of Convolution, Convolution Examples, Causal LTI Systems, System with Finite-Duration and Infinite-Duration Impulse Response, Recursive and Nonrecursive Discrete-Time Systems,
7
LTI Described by Difference Equations, Recursive and Nonrecursive Discrete-Time Systems, Constant-Coefficient Difference Equations
8
Solution of Linear Constant-Coefficient Difference Equations (Matlab examples)
9
Solution of Linear Constant-Coefficient Difference Equations, The Impulse Response of a LTI recursive system , Implementation of Discrete-Time Systems, Crosscorrelation and Autocorrelation Sequence

10

Z Transform and Its Application to the Analysis of LTI Systems

11

Rational Z-Transform, The inverse of the z-transform

12

The One-Side z-Transform (Matlab examples)

13

Discrete Fourier Transform

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