ELC 321
Signal and Systems
Lecture 1
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Introduction
Signals
Signals are modelled using Mathematical Functions.
Signals can either be continuous-time or discrete-time.
System
ELC 321
Signals and Systems
Lecture 6
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Continuous-Time LTI Systems
Convolution Integral: Definition
A general signal () can be expressed as a function of an
impulse function
ELC 321
Signals and Systems
Lecture 10
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Discrete-Time Systems: Convolution Sum
Linear Time-Invariant System: Definition
Linear Time-Invariant (LTI ) Discrete-time System :
A
ELC 321
Signals and Systems
Lecture 5
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Continuous-Time Systems
Systems: Definition
A system is a process for which cause-and-effect
relations exist.
The Cause: The input sign
ELC 321
Signals and Systems
Lecture 4
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Sampling of Periodic Signals
Periodic Signals
Recall:
A continuous-time signal () is periodic it satisfies
= +
where is any integer a
ELC 321
Signals and Systems
Lecture 7
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Models of Continuous-Time LTI Systems
Mathematical Model: Linear Differential Equation
Physical systems are interconnection of componen
ELC 321
Signals and Systems
Lecture 8
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Discrete-Time Systems
Discrete-time Systems: Definition
A discrete-time system processes an input
signal, called the input sequence, to
ELC 321
Signals and Systems
Lecture 10
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Models of Discrete-Time LTI Systems
Mathematical Model: Linear Difference Equation
The class of LTI discrete-time system we are concer
ELC 321
Signals and Systems
Lecture 2
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Signals: Representation and
characterization
Common Continuous-Time Signals
We consider two classes of signals:
Singularity Functions
ELC 321
Signal and Systems
Lecture 3
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Discrete-Time Signals: Definition
Discrete-Time Signals
A discrete-time signal is defined only at discrete instants of time.
A discrete-
gnaw @123
Mid Term Examination 1 *
Signals and Systems (ELC 321)
Department of Electrical and Computer Engineering
The College of New Jersey.
Instructions:
1. This is a closedbook examination
2. Attempt all questions
Problem 1 (25 Marks). For the general
ELC 321
Signals and Systems
Lecture 15
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Fourier Transform of Discrete-Time Signals
Discrete-Time Fourier transform: Introduction
Recall the Fourier transform for continuous t
ELC 321
Signals and Systems
Lecture 16
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
Fourier Transform of Discrete-Time Signals
The Discrete Fourier Transform(DFT): Definition
In perspective: Discrete-time Fourier Trans
ELC 321
Signals and Systems
Lecture 17
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
The Laplace-Transform
Laplace-Transform:Definition
Given a time function (), we define the following Laplace transforms:
A: Two-sided
ELC 321
Signals and Systems
Lecture 19
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
The z-Transform
z-Transform: Definition
We consider here the z-transform, an alternate transform-domain representation of
sequences an
ELC 321
Signals and Systems
Lecture 20
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
The z-Transform
Application to Linear Time-Invariant (LTI) Systems
R:
A: The z-Transform (One-sided or unilateral ):
[]
[] = () =
=0
ELC 321
Signals and Systems
Lecture 18
Instructor: Dr Ambrose Adegbege
Department of Electrical and Computer
Engineering
The Laplace-Transform
Application to Linear Time-Invariant (LTI) Systems
R:
A: The Laplace Transform (One-sided or unilateral ):
() =
Assignment on Continuous-Time and
Discrete-time Signals
Signals and Systems (ELC 321)
Department of Electrical and Computer Engineering
The College of New Jersey.
Instructions:
1. The assignment questions are extracted from the Text (Signals, Systems,
an
Matlab Exercise II:Solution Guide
Signals and Systems (ELC 321)
Department of Electrical and Computer Engineering
The College of New Jersey.
Problem 1 (25 Marks). The simulation diagram of Figure 8 describes an echo
generating system with input x[n] and o
Matlab Exercise II
Signals and Systems (ELC 321)
Department of Electrical and Computer Engineering
The College of New Jersey.
Instructions:
1. The assignment questions are adapted from the Text (Signals, Systems,
and Transforms, Fifth edition)
2. When usi
Assignment 2: Linear Time-Invariant Systems
Signals and Systems (ELC 321)
Department of Electrical and Computer Engineering
The College of New Jersey.
Instructions:
1. Some of the assignment questions are adapted from the Text (Signals,
Systems, and Trans
Assignment 4: LTI Systems in Transformed
Domain
Signals and Systems (ELC 321)
Department of Electrical and Computer Engineering
The College of New Jersey.
Instructions:
1. The assignment questions are extracted from the Text (Signals, Systems,
and Transfo
Filter Design Project
Laboratory Number 6
Naina Iyengar, Sona Patel
ENG 214-04
Dates Performed: Monday, 11/18/13, 11/25/13
I. Abstract
Televisions show motion resolution as at least 60 pictures/second (60 Hz, also the rate of
electricity flow), so we deci
Low Pass Filter Network and Impedance
Laboratory Number 5
Naina Iyengar, Sona Patel
ENG 214-04
Dates Performed: Monday, 11/11/13, 11/18/13
I. Abstract
The purpose of this laboratory experiment was to introduce filtering of electrical signals by
building l
RC and Op-Amp Transient Circuit Analysis
Laboratory Number 4
Naina Iyengar, Sona Patel
ENG 214-04
Dates Performed: 10/21/13, 11/4/13
I. Abstract
Transient analysis is commonly used when studying RC circuits, as well as circuits
containing an operational a
Basic Electrical Measurements and Modeling
Laboratory Number 1
Naina Iyengar, Sona Patel
ENG 214-04
Dates Performed: Tuesday, 9/3/13, 9/9/13, & 9/16/13
I. Abstract
Voltage, current, resistance, power, and energy are common measurements tabulated and
calcu
Introduction to Electrical Measurements Using the Oscilloscope
Laboratory Number 3
Naina Iyengar, Sona Patel
ENG 214-04
Dates Performed: Monday, 9/30/13, 10/7/13, & 10/14/13
I. Abstract
The oscilloscope is used to measure dc and ac voltages. In conjunctio
DC Circuit Analysis with PSPICE
Laboratory Number 2
Naina Iyengar, Sona Patel
ENG 214-04
Dates Performed: Monday, 9/23/13
I. Abstract
PSPICE is a circuit analysis program that allows users to build circuits in order to solve
various problems involving cir