Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
CS3291 Exam Jan 2004
1
22/04/09 /BMGC
University of Manchester Department of Computer Science
First Semester Year 3 Examination Paper
CS3291: Digital Signal Processing Date of Examination: January 200
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Quiz 5: DFT's and Fast Fourier Transforms EE424 Spring 2000 Name: 1. Resolution and DFTs The signal shown below is sampled at Fs=10 kHz: x(n ) = sin ( 2000 n / Fs ) sin (1800 n / Fs ) What is the mini
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Name: EE424 Fall 2000 Quiz 3 Please do problems on BOTH sides of the paper. 1. Use the linear difference equation and its Z transform for the causal system shown below to answer the following question
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
NAME:
EE 424 QUIZ 1
FALL 2003
DONT FORGET TO DO THE SECOND PAGE!
1) (20 pts) System properties. Circle the correct answer and give your reasoning.
y ( n) = n 2 x ( k )
k =n
n+ 2
(II)
a) b) c) d)
(5 pt
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
NAME:
EE 424 QUIZ 2
FALL 2003
1. (20 pts) Determine linearity, time invariance, stability, and causality of the following system. Show all work.
y (n) = 3 x(n) + exp( x(n) 2. (25 pts) Let h(n) = 1, 2
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EE424 Fall 2000 Quiz 106 September 2000 Dr. Dickerson 1. (8 points) Examine the following system with respect to the properties given below. Circle the property that holds and give reasons for each a
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Formula Sheet
Fourier Transform
X =F x t= x t e j t dt
1
x t =F X =
X e j t d
2
1
Fourier Sequence
k=
f x =
k =
An e j n x
1
An = e j n x dx
2
DiscreteTime Fourier Transform
X e j = x [n]e j n
n=
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EE424 Fall 2000 DONT FORGET THE BACK PAGE Quiz 2, 20SEP2000 1. Convolution Find the convolution of a step input with a pulse of length N:
Name:
x( n ) = (1) n D u ( n D ) h( n ) = 2[ u ( n + D ) u (
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Quiz 4 Solutions EE424 Fall 2000 1. Design a resonator filter of the form H ( z ) = 1 1 + a1 z
1
f 0 = 1500 Hz and a 3dB width of f = 50 Hz . The sampling rate is 5 KHz. What are the values of the fi
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
1
Full Name:
Do not put any explanations or work in this answer sheet. Only your answers will be considered.
Problem 1
(12%)
(a) y [n] = x[2n]
Is the system:
1% (i) Linear?
YES
NO
CANT TELL
1% (ii) Ti
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Signal and Image Analysis 2  Solutions
1 (i)
Bookwork (pp 7879).
(ii)
The optimal model, in the leastsquares sense, has a value of a that minimizes
N
E =
t=1
N
=
t=1
(xt xt )2
(xt a xt1 )2 .
Theref
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
B14 Signal and Image Analysis 1
Solutions
1
2
3
3. (i)
When a signal f (x) suffers from additive noise n(x), the resulting time series is f (x) + n(x). If n(x) is of a
higher frequency than f (x), the
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
SIGNAL & IMAGE PROCESSING  2 (Lectures 58)
1)
(i) Dene the autocovariance, xx (T ), and autocorrelation, rxx (T ) as functions of lag
T for a 1d signal x[t].
(ii) A rstorder autoregressive model,
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
SIGNAL & IMAGE PROCESSING  1 (Lectures 14)
1)
(i) Show that convolution between f (x ) and h(x ) in the time domain is equivalent to
the multiplication F (s )H (s ) in the Laplace domain and F (u )H
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
ENEE630 ADSP
1.
Part II w/ solution
Determine if each of the following are valid autocorrelation matrices of WSS processes.
(Correlation Matrix)
4
1
1
2 1 1
2j
0
j
1 0 2
Ra = 1 4 1 , Rb = 1 2 0 , Rc =
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2006
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2012
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
University of Manchester: Dept. of Computer Science
BMGC
16/05/09
Section 2:
CS3291 : Digital Signal Processing '0506
Review of Analogue Signals and LTI Systems
2.1 Introduction: An example of an LTI
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
University of Manchester
Department of Computer Science
CS3291 : Digital Signal Processing 0506
Section 1: Introduction
A signal is a timevarying measurable quantity whose variation normally conveys
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE401F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2003
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A h
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE401F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2005
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A h
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE401F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2004
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A h
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2007
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2006
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2009
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A