EE 235, Spring 2015
SOLUTIONS Homework 4: LTI Systems and Convolution
(Due Wednesday April 22, 2015 in class)
Write down ALL steps for full credit
HW4 Topics:
LTI Systems and Impulse Response
Echo Property of Convolution
Convolution Integral
HW4 Course

EE 235, Winter 2017
SOLUTIONS Homework 3: Continuous-Time Systems
(Due Friday January 20, 2017 via Canvas Submission)
Write down ALL steps for full credit
HW3 Topics:
System Properties: C, S, I, L, TI
HW3 Course Learning Goals Satisfied:
Goal 1: Describ

EE 235, Winter 2016, Homework 4: LTI Systems and Convolution SOLUTIONS
Due Wednesday January 27, 2016 via Canvas Submission
Write down ALL steps for full credit
HW4 Topics:
LTI Systems and Impulse Response
Echo Property of Convolution
Convolution Integ

EE 235, Spring 2015
SOLUTIONS Homework 7: Fourier Transforms
(Due Friday May 15, 2015 in class)
Write down ALL steps for full credit
HW7 Topics:
Fourier Transforms: Analyze (Transform) and Synthesize (Inverse Transform)
Fourier Transforms: Periodic Sign

2/1/17
EE235: Lecture 13
Math Background
x(t) =
a e
jk0t
k
T0 = 2 / 0
Synthesis
Equation
k=
ak =
1
T0
x(t) e
jk0t
dt
Analysis
Equation
T0
Math background on how to derive the Fourier
Series coefficient ak equation
1
Representation of a Vector with respe

2/10/17
EE235: Lecture 14
Approximating a Signal
Validity of FS Representation (Dirichlet
conditions)
Combining Analysis & Synthesis
Computing Power from Fourier coefficients
Another FS Representation
1
Approximating a Signal
How do you approximate x

2/3/17
EE235: Lecture 13
Fourier Series Analysis
Examples of FS Analysis
1
Fourier Series Analysis
Find the Fourier coefficients for a periodic signal
The coefficients ak on each CE term will give us the harmonic
content of the signal
Case 2: Consider a

2/7/17
EE235: Lecture 16
Fourier Transform
FT properties
FT of common signals
FT of periodic signals
1
Fourier Formulas
Fourier Series
Periodic signals w/period T0
Fourier Transform
Arbitrary practical signals
Synthesis:
Inverse FT:
x(t) =
a e
jk0t
k
T

2/7/17
EE235: Lecture 15
Fourier Transform
FT Basic Idea
Fourier Transform Formulas
Signals that have a FT: Dirichlet Conditions
Examples
1
Fourier Transform: Basic Idea
Sound: air molecules
quickly bouncing back and
forth
You dont feel the air hittin

1/5/17
EE235: Lecture 3
Even and Odd Signals
Signals Energy/Power
Impulse Function
1
Even and Odd Signals
Definition: An even signal is such that
xe (t ) = xe (t )
Symmetric across
the t=0 axis
t
L
L
x (t )dt = 2 x (t )dt
e
e
L
0
Definition: An odd si

1/16/17
EE235: Lecture 9
How to Perform Convolution
u(t) with u(t)
u(t-1) with u(t+3)
6u(t+1) with e-tu(t-1) (same direction)
e2tu(2-t) with e-tu(t-1) (different directions)
Exponential with a pulse
Pulse with a pulse
1
The Convolution Integral
x(t

EE 235, Winter 2016
SOLUTIONS Homework 3: Continuous-Time Systems
(Due Friday January 22, 2016 via Canvas Submission)
Write down ALL steps for full credit
HW3 Topics:
System Properties: C, S, I, L, TI
HW3 Course Learning Goals Satisfied:
Goal 1: Describ

EE235
Name:
Student ID:
Midterm Exam #1
University of Washington EE235, Winter 2016
January 29th, 2016
Exam Information:
The test is closed book, and no calculators/devices are allowed. You are allowed ONE 8.5x11 (twosided) page of notes.
Please show al

EE 235, Spring 2015
SOLUTIONS Homework 5: More LTI Systems
(Due Friday May 1, 2014 in class)
Write down ALL steps for full credit
HW5 Topics:
Impulse Response and Step Response
LTI System Properties
Exponential Response
Simple Fourier Series
HW5 Cours

EE 235, Spring 2015, Homework 1: Prerequisites
(Due Friday April 3, 2015, BEFORE class starts)
Complex Exponentials: Or How I Learned To Stop Worrying And Love Eulers Formula
HW1 References:
OWN Mathematical Review pp. 71-73
Schaums Appendices
Boyds br

EE 235, Spring 2015
SOLUTIONS Homework 3: Continuous-Time Systems and More Signals
(Due Friday April 17, 2015 in class)
Write down ALL steps for full credit
HW3 Topics:
Continuous Time Signal Properties: Energy/Power
Relationship Between Unit Step and U

EE 235, Spring 2015, SOLUTIONS Homework 2: Continuous-Time Signals
(Due Friday April 10, 2015 in class)
Write down ALL steps for full credit
HW2 Topics:
Continuous Time Signal Properties: Periodic, Even/Odd
Transformations of the Independent Variable
Expo

EE 235, Spring 2015
SOLUTIONS Homework 5: More LTI Systems
(Due Friday May 1, 2014 in class)
Write down ALL steps for full credit
HW5 Topics:
Impulse Response and Step Response
LTI System Properties
Exponential Response
Simple Fourier Series
HW5 Cours

EE 235, Spring 2015
SOLUTIONS Homework 6: Fourier Series
(Due Friday May 8, 2015 in class)
Write down ALL steps for full credit
HW6 Topics:
Fourier Series: Analysis, Synthesis, Properties, and LTI
HW6 Course Learning Goals Satisfied:
Goal 1: Describe si

EE 235, Spring 2015
SOLUTIONS Homework 8: Fourier Transforms, LTI Systems, and Filters
(Due Wednesday May 20, 2015 in class)
Write down ALL steps for full credit
HW8 Topics:
Fourier Transforms
LTI Filters
HW8 Course Learning Goals Satisfied:
Goal 3: Pe

EE 235, Spring 2015
SOLUTIONS Homework 10: Modulation and Laplace Transforms
(Due Friday June 5, 2015 in class)
Write down ALL steps for full credit
HW10 Topics:
Modulation and Demodulation
Laplace Transform and Inverse Laplace Transform
Laplace Transf

EE 235, Spring 2015
SOLUTIONS Homework 9: Sampling
(Due Friday May 29, 2015 in class)
Write down ALL steps for full credit
HW9 Topics:
Sampling Theorem and Aliasing
HW9 Course Learning Goals Satisfied:
Goal 1: Understand how sampling aects the frequency

EE 235, Spring 2015
SOLUTIONS Homework 7: Fourier Transforms
(Due Friday May 15, 2015 in class)
Write down ALL steps for full credit
HW7 Topics:
Fourier Transforms: Analyze (Transform) and Synthesize (Inverse Transform)
Fourier Transforms: Periodic Sign

EE 235, Winter 2017, Homework 5: More LTI Systems
Due Friday February 3, 2017 via Canvas Submission
Write down ALL steps for full credit
HW5 Topics:
Impulse Response and Step Response
LTI System Properties
Exponential Response
HW5 Course Learning Goals

EE 235, Winter 2017, Homework 1 Supplementary Notes
1. Complex Number Representation. Any complex number z can be represented in rectangular (Cartesian)
form or in polar form.
(a) In rectangular form, z = x + jy, where x = Recfw_z and y = Imcfw_z .
i. Com