EE 1563 - Digital Signal Processing Laboratory
Solutions Sample Exam 2
Fall, 2010
1. You have designed the following digital low-pass filters with the same cutoff frequency (3
dB attenuation) of 4000
EE 1563 - Digital Signal Processing Laboratory
Solutions Exam 1
March 1, 2010
1. Use backward differences to derive a discrete system estimate of the differential equation:
dy
dx
, y ( 0) = 0
+ 10 y =
EE 1563 - Digital Signal Processing Laboratory
Sample Exam 2
Closed book. One sheet (two sides) of notes - Be sure to show your work.
Fall, 2010
1. You have designed the following digital low-pass fil
EE 1563 - Digital Signal Processing Laboratory
Sample Exam 1
Open Notes (and Books) - Be sure to show your work.
Fall, 2010
1. Use backward differences to derive a discrete system estimate of the diff
Linear Systems Analysis
JR Boston, August 21, 2007
page 1
Review of Continuous Linear Systems Analysis
We define systems in terms of their effects on signals. We generally consider signals to be
funct
Linear Control
JR Boston
January 5, 2009
page 1
Notes on Linear Feedback Control
EE/BIOENG 1680/2680
Spring, 2009
J.R. Boston
A commonly encountered example of a control system is a room thermostat fo
1.
So
So
So
2. A)
B)
3. N = 8
4.
(
)
()
5. By sampling 8 points on the result of problem 4 from 0 to
We have
This is exactly the same with the result of problem 3.
1.
a) Y[0] = 0
Y[1] = X[0] Y[0]/4 = 1
Y[2] = -X[0]/2 Y[1]/4 +Y[0]/8 = -3/4
Y[3] = -Y[2]/4 + Y[1]/8 = 5/16
b)
()
()
()
()
()
()
()
()
(
)(
)
Both the poles are inside the unit circle, so the system is
1.
(
(
)
(
)
)
(
()
)
(
()
)
()
()
()
The pole is z = 1-aT, for the system to be stable, we should have |1-aT| < 1, so 0<T<2/a
2. (a) x[n-1] y[n-1] = y[n]
So , for [ ]
[ ] we have y[1] = x[0]+y[0] = 1
ECE 1563 Fall, 2010
Solutions to Homework 4: Spectral Analysis
1. Assume that you have sampled a 1000 Hz sine wave at 5000 samples per second for 10
milliseconds. You then implement a discrete Fourier
October 12, 2010
EE 1563 - Digital Signal Processing Laboratory
Exam 1 Solutions
1. You are given a discrete system with transfer function
H(z) =
Y(z)
1 + 0.7z 1
=
X (z) (1 + 0.9z 1 )(1 0.9z 1 )
a) Sk
EE 1563 - Digital Signal Processing Laboratory
Exam 2 - Solutions
Fall, 2010
1. Consider a filter with discrete impulse response h(n) = [0 A A 0]. Evaluate a 4-point
discrete Fourier transform and fin
Notes on the discrete Fourier transform
J.R. Boston
January, 2006
page 1
Notes on the discrete Fourier transform
These notes provide a brief overview of the discrete Fourier transform (DFT). The DFT i