PROBLEM SET 2
Issued: 1/30/15
Due: 2/5/15
Reading: During the past week we have discussed z-transforms, including their properties and inverses,
and the relationships between the z-transform an LSI system and its corresponding difference equation.
We will

DSP
DSP
DSP
DSP
DSP
DSP
DSP
DSP
DSP
Fundamentals of Signal Processing (18-491)
Spring Semester, 2014
QUIZ 2
Two hours
April 3, 2014
Closed book
Two sheets of notes
Note: The questions on this exam are not very difficult. Be sure to think about ways of ans

DSP
DSP
DSP
DSP
DSP
DSP
DSP
DSP
DSP
Fundamentals of Signal Processing (18-491)
Spring Semester, 2014
QUIZ 1
Two hours
March 6, 2014
Closed book
One sheet of notes
Note: The questions on this exam are not very difficult. Be sure to think about ways of answ

DECIMATION IN TIME FOR VALUES OF
N THAT ARE NOT A POWER OF 2
Issued: 3/10/15
Note: This handout is a copy of a section of the original text by Oppenheim and Schafer (1975) which
describes the development of decimation-in-time algorithms for values of N th

NOTES ON RANDOM PROCESSES
I. Introduction
Random processes are at the heart of most of most techniques developed in ADSP. They are a natural
extension of the concept of random variables in probability theory. In these notes we briefly and superficially re

THE FREQUENCY-SAMPLING FIR FILTER IMPLEMENTATION
In this handout we derive and discuss the frequency-sampled implementation of FIR filters.
The frequency-sampled form is easy to derive. We begin with the definition of the z-transform of an FIR
filter:
N1

PROBLEM SET 7
Issued: 3/20/15
Due: 3/26/15
Note: Quiz 2 is scheduled for April 9, in three weeks. It will be closed book but you will be allowed to
bring in two sheets of notes. It will cover the work through this problem set, i.e. it will include digital

18-491 PROBLEM SET 6
Issued: 3/9/15
Due: 3/19/15
Reminder: Quiz 2 is scheduled for April 2.
Reading: This problem set covers material that we discussed in class before the exam concerning the basic
fast Fourier transform (FFT) algorithms. The relevant sec

Problem Set 8
Issued: 3/27/15
Due: 4/2/15
Reminder: Quiz 2 will take place in class on April 9. It will cover material through this problem
set (IIR lter design plus the previous material we covered in OSYP Chapters 1-6 and 9-10), but
with an emphasis on

PROBLEM SET 5
Issued: 2/27/15
Due: 3/5/15
Reading: During the week before Quiz 1 we introduced the DFS and the DFT, following material in
OSYP 8.0-8.6. We also discussed the differences between circular and linear convolution, including the
overlap-add (O

PROBLEM SET 3
Issued: 2/7/15
Due: 2/12/15
Reading: During the past week we discussed z-transform inverses and the solution of linear constant-coefficient difference equations. We encourage you to consult both OSYP Sec. 2.5 and the class notes for a discus

PROBLEM SET 1
Issued: 1/23/15
Due: 1/29/15
Reading: This weeks homework covers the first two weeks of classes, during which time we discussed
properties of signals and systems, cnvolution, and the discrete-time Fourier transform. This material is
covered

18-551, Spring 2003
Group #12, Final Report
Shake that thing! Video Stabilization
Jeff Bloomfield (jrb2@andrew.cmu.edu)
Ed Kao (kkao@andrew.cmu.edu)
Scott Marmer (smarmer@andrew.cmu.edu)
The Problem
Video quality is often hindered by shaky hands of the ca