UNIVERSITY OF ENGINEERING AND TECHNOLOGY, PESHAWAR
Department of Telecommunication Engineering
TE-207: Signals and Systems
ASSIGNMENT 5
Issued: December 19, 2012
Due: December 25, 2012
Problem 1
O&W 4
ECE 3300
Solutions to Homework Set 2A
Section 3.1
1. Consider a system with input x() and output y(t) = t2 x(t 3). Determine the impulse
response h(t) and the step response g(t).
General principles: h
ECE 3300
Solutions to Homework Set 1B
Section 2.5
1. Suppose x(t) is as shown and suppose w(t) = (t + 1) 2(t 1) + (t 2). Plot y(t) =
x(t) + w(t) and z(t) = x(t)w(t) and give the sum-of-impulses repres
ECE 3300
Solutions to Homework Set 1C
Section 2.8
1. Consider the complex-valued signal x(t) = 1 + cos(t)ejt . Determine Recfw_x(t), Imcfw_x(t),
|x(t)|, and x(t).
One way to solve this is to use ejt =
ECE 3300
Solutions to Homework Set 2B
Section 3.5
1. Consider a linear time-invariant system with input x(t) = 2te2t u(t) and impulse response
h(t) = e2t (u(t) u(t 2). Determine the output y(t). Check
HOMEWORK 3
EECE 3200
Due February 15, 2017
Show all your work
1. For the discrete-time signals x[n] and v[n] shown below. Compute x[n] v[n].
x[n]
v[n]
1
1
n
2T
T
T
2T
3T
4T
2T
T
T
2T
3T
2
3
2. For the
ECE 3300
Solutions to Homework Set 1A
Note: Detailed solutions to these problems is given in blue; additional helpful information is
given in red. The information in red includes alternate solutions,
HOMEWORK 2
EECE 3200
Due February 8, 2017
Show all your work
1. Given the signal shown below.
2
x(t)
3
t
Sketch the signal y(t) where
y(t) = x(t) x(t).
2. Determine if the following signals are power
HOMEWORK 4
EECE 3200
Due February 22, 2017
Show all your work
1. Consider a system with an impulse response of
h(t) = et u(t 1)
and an input signal
x(t) = et u(1 t)
where u(t) is the unit step signal.
1
Introduction
This first lecture is intended to broadly introduce the scope and direction of
the course. We are concerned, of course, with signals and with systems that
process signals. Signals can b
7
Continuous-Time
Fourier Series
In representing and analyzing linear, time-invariant systems, our basic approach has been to decompose the system inputs into a linear combination of
basic signals and
2
Signals and Systems:
Part I
In this lecture, we consider a number of basic signals that will be important
building blocks later in the course. Specifically, we discuss both continuoustime and discre
DIGITAL CONTROL
SYSTEMS
Digital Implementation of Analog
Controller Design
Indirect Approach to Digital Controller
Design
Procedure:
( ) for the analog subsystem to meet the
1. Design a controller
des
FOURIER AND LAPLACE TRANSFORMS
BO BERNDTSSON
1. F OURIER SERIES
The basic idea of Fourier analysis is to write general functions as sums (or superpositions) of
trigonometric functions, sometimes calle
Lecture 18: Discrete-Time Transfer Functions
7 Transfer Function of a Discrete-Time Systems (2
lectures): Impulse sampler, Laplace transform of
impulse sequence, z transform. Properties of the z
trans
Lecture 2: Signals Concepts & Properties
(1) Systems, signals, mathematical models.
Continuous-time and discrete-time signals.
Energy and power signals. Linear systems.
Examples for use throughout the
Lecture 3: Signals & Systems Concepts
Systems, signals, mathematical models. Continuoustime and discrete-time signals. Energy and power
signals. Linear systems. Examples for use
throughout the course,
Lecture 6: Linear Systems and Convolution
2. Linear systems, Convolution (3 lectures): Impulse
response, input signals as continuum of impulses.
Convolution, discrete-time and continuous-time. LTI
sys
Lecture 7: Basis Functions & Fourier
Series
3. Basis functions (3 lectures): Concept of basis
function. Fourier series representation of time
functions. Fourier transform and its properties.
Examples,
Lecture 17: Continuous-Time Transfer
Functions
6 Transfer Function of Continuous-Time Systems (3
lectures): Transfer function, frequency response, Bode
diagram. Physical realisability, stability. Pole
The Fourier Series
Page 1 of 8
The Fourier Series
Introduction
Derivation
Examples
Aperiodicity
Printable
Contents
Motivation
Examples: Functions as Sums of Sinusoids
Example: The Square Wave as a
Lecture 19: Discrete-Time Transfer Functions
7 Transfer Function of a Discrete-Time Systems (2
lectures): Impulse sampler, Laplace transform of
impulse sequence, z transform. Properties of the z
trans
Lecture 5: Linear Systems and Convolution
2. Linear systems, Convolution (3 lectures): Impulse
response, input signals as continuum of
impulses. Convolution, discrete-time and
continuous-time. LTI sys
Laboratory 5
Due March 31, 11 PM
This week we will look at signals from the AM band, write an AM receiver as an m-le, and listen to the
demodulated signals.
The data was captured using a Universal Sof
6
Systems Represented by
Differential and
Difference Equations
An important class of linear, time-invariant systems consists of systems represented by linear constant-coefficient differential equation