University of Washington Bothell
Science and Technology Program
BEE 341 Discrete Time Linear systems
Assignment 1
Instruction: This assignment will not be graded, and you do not have to submit it.
1. Compute the following sum of sequences.
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n
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70
1
1
n
University of Washington Bothell
Electrical Engineering Program
BEE 341 Discrete-time Linear Systems
Homework 3 (Summer 2012)
Instruction: Work out the problems and show all steps of your solutions. When plotting graphs,
put label on all axes. Write neatl
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University of Washington Bothell
Electrical Engineering Program
BEE 341 Discrete-time Linear Systems
Homework 4 (Winter 2013)
Instruction: Work out the problems and show all steps of your solutions. When plotting graphs,
put label on all axes. Write neatl
BEE 341 Discrete-Time Linear Systems
Lesson Week 1: Introduction to Discrete-Time Signals
Tadesse Ghirmai
Learning Goals
After completing this lecture students will be able to
Describe thedifference between continuous-time and discrete-time
signals
Mathem
BEE 341 Discrete-Time Linear Systems
Lesson Week 2: Characteristics of Discrete-Time
Signals and Discrete-Time Systems
Tadesse Ghirmai
Learning Goals
After completing this lecture students will be able to
Classify discrete-time signal based on properties
BEE 341 Discrete-Time Linear Systems
Lesson Week 2: Characteristics of Discrete-Time
Signals
Tadesse Ghirmai
Learning Goals
After completing this lecture students will be able to
Classify discrete-time signal based on properties (periodic and nonperiodic,
BEE 341 Discrete-Time Linear Systems
Lesson Week 3: Discrete-time Systems
Tadesse Ghirmai
Learning Goals
After completing this lecture students will be able to
Mathematical y represent discrete-time systems
Classify systems based on their properties.
Math
BEE 341 Discrete-Time Linear Systems
Lesson Week 3: LTI Systems (Continuation)
Tadesse Ghirmai
Learning Goals
After completing this lecture students will be able to
Determine the output of an LTI system from its impulse response using
convolution.
Determi
BEE 341 Discrete-Time Linear Systems
Lesson Week 4: LTI Systems (Continuation)
Tadesse Ghirmai
Learning Goals
After completing this lecture students will be able to
Determine the output of an LTI system from its impulse response using
convolution.
Determi
BEE341DiscreteTimeLinearSystems
LessonWeek6:DiscreteFourierTransform(DFT)
TheDiscreteFourierTransform
Recall that DTFT is calculated from a discrete-time signals, x[n], and the
resulting function X(ej) is a continuous function, and, therefore, cannot be
e
BEE341DiscreteTimeLinearSystems
LessonWeek8:DiscreteFourierTransform(DFT)
TheDiscreteFourierTransform
Recall that DTFT is calculated from a discrete-time signals, x[n], and the
resulting function X(ej) is a continuous function, and, therefore, cannot be
e
BEE341DiscreteTimeLinearSystems
LessonWeek7:TheDiscreteTimeFourierTransform
(PartII)
DiscreteTimeFourierTransform:Properties
Symmetric properties of real sequences: If x[n] is real then its DTFT X(ej) is
conjugate symmetric. That is
X (e j) = X * (e j)
Pr
BEE341DiscreteTimeLinearSystems
LessonWeek7:TheZtransform(PartI)
ThezTransform
The DTFT (Discrete-Time Fourier Transform) describes systems in
frequency domain using the frequency response function H(e j)
The steady state response of an LTI system to any
BEE341DiscreteTimeLinearSystems
LessonWeek8:TheZtransform(PartII)
TheSystemfunctionofLTISystem
The output of an LTI system y[n] to an input x[n] can be obtained by:
Where * is the convolution operation, and h[n] is the impulse response of
the system.
Expr
BEE341DiscreteTimeLinearSystems
LessonWeek10:TheZtransform(PartII)
TheSystemfunctionofLTISystem
The output of an LTI system y[n] to an input x[n] can be obtained by:
Where * is the convolution operation, and h[n] is the impulse response of
the system.
Exp
University of Washington Bothell
Science and Technology Program
BEE 341 Discrete-Time Linear Systems
Lab 1: Elementary Music Synthesis
This lab is based on a lab by Professor Virginia Stonick of Oregon State University.
1. Purpose:
The purpose of this lab
University of Washington Bothell
Science and Technology Program
B EE 341 Discrete-Time Linear Systems
Lab 3: Properties of Discrete-time Fourier Transform
(DTFT)
Objective:
In this lab, we will learn properties of discrete-time Fourier transform (DTFT). A
University of Washington Bothell
Science and Technology Program
B EE 341 Discrete-time Linear Systems
Lab 4: FFT and Filtering
When using a digital computer, frequency analysis means using a Fast Fourier
Transform (FFT). This necessitates that we spend so
B EE 341: Discrete-Time Linear Systems
Introduction
Course Overview
In B EE 341 you will study the mathematical representation of discrete-time signals and systems,
solve linear difference equations using classical techniques and z-transform, analyze the