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

Fall 2013
EEE4001F: Digital Signal Processing
Class Test 1
27 March 2006
Name:
Student number:
Information
The test is closedbook.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Determine the impul
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Adaptive Filters Background
All of the filters that we have been designing in the lab have been simple FIR or IIR fixed coefficient filters. We have used programs like MATLAB to compute filter coefficients for a particular situation, like lowpass or high
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
SIGNAL PROCESSING  MT 2013
1) Using a leastsquares error criterion, derive the set of coecients for a nonrecursive
lter based on a 7point parabolic t.
What is the attenuation obtained with this lter at fs /4 where fs is the sampling frequency?
2) The
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
University of Manchester CS3291: Digital Signal Processing 2003/2004 Solutions to selected problems in Notes
Section 1
1.1 Electrical waveform analogous to continuous variation in other quantity such as air pressure. 1.2. Never! 1.3. x(t ) =
0 : t<0 sin(
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
Sample Questions for MS/PhD Entrance Exams
Department of Electrical Engineering, IIT, Madras
GROUP  EE1 (Communications)
(For candidates interested in digital communications, wireless and telecom systems,
speech and image processing, computer networks, o
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 has seven questions totalling 70 marks. You must answer
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 has seven questions totalling 70 marks. You must answer
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=
1
x [n ]=
X ei e j n d
2
Discrete Fourier Transform
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 answer. y (n ) = x(2 n) a. Linear or Nonlinear If y1(n )
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 n 5. Let x(n) = 1, 8 n 18. Let y (n) = h(m) x(n m) be t
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 pts) (5 pts) (5 pts) (5 pts)
Is system (II) linear or non
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 questions (You must give reasons for each part)
y (n ) = 4 y (n
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 minimum number of signal samples that must be collected to
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 ( n + D N ) ] a. Compute y(n) for the case where N=4 and
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EE422G Review 2
1.
Given the initial condition problem
x Ax Bu
x (t 0 ) x 0
t
t
d
f ( , t )
(1) What is its solution? (2) Prove it. (Note:
f ( , t )d f ( , t ) t t d )
dt a
a
2.
Systems initial condition, state equation, and output equation are given by
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EE 422 Review 3 (FFT HW 2 problems are also required) 1. Give the Direct Form II Realization for H ( z ) = 2. Give the cascade realization for H ( z ) = H ( z) = 1 + 0.3z 1  0.6 z 2  0.7 z 3 (1 + 0.2 z 1 ) 3
1 3
1 (1 + 0.2 z ) (1  0.2 jz 1 ) 1 +
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F: Digital Signal Processing
Class Test 1
27 March 2006
SOLUTIONS
Name:
Student number:
Information
The test is closedbook.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Determine
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F: Digital Signal Processing
Class Test 1
22 March 2007
SOLUTIONS
Name:
Student number:
Information
The test is closedbook.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Determine
Anna University Chennai  Regional Office, Coimbatore
Digital Signal Processing
ECE 602

Fall 2013
EEE4001F: Digital Signal Processing
Class Test 1
16 March 2012
SOLUTIONS
Name:
Student number:
Information
The test is closedbook.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) For the s
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 has seven questions totalling 70 marks. You must answer
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 2011
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
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 2008
3 hours
Information
The exam is closedbook.
There are two parts to this exam.
Part A has eight questions totalling 70 marks. You must answer
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 has eight questions totalling 70 marks. You must answer
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 has seven questions totalling 70 marks. You must answer
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 has seven questions totalling 70 marks. You must answer
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 has six questions totalling 70 marks. You must answer al