EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2012
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
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 +
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
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
Discrete-Time Fourier Transform
X e j = x [n]e j n
n=
1
x [n ]=
X ei e j n d
2
Discrete Fourier Transform
EE424 Fall 2000 Quiz 1-06 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 )
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 low-pass or high
Introduction
This lab covers IIR filters for audio effects. Part 1 deals with direct form and cascaded biquad filters. Part 2 covers IIR digital filters for audio equalization. We will implement a five band audio equalizer. Present-day graphic equalizers
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
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
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
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
EE424 Fall 2000 DONT FORGET THE BACK PAGE Quiz 2, 20-SEP-2000 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
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 3-dB width of f = 50 Hz . The sampling rate is 5 KHz. What are the values of the filter coefficients a1 and a2? The pole radius may be fou
EE 424 HOMEWORK 4 FALL 2003 Due Tuesday Nov. 11, 2003 90 points total
1. (20 pts) Filtering Problem. Telephone speech is usually sampled at 8 KHz. The speech signal is corrupted by two sinusoids at 250 Hz and 1000Hz. Use pole-zero placement to design a fi
SIGNAL PROCESSING - MT 2013
1) Using a least-squares error criterion, derive the set of coecients for a non-recursive
lter based on a 7-point parabolic t.
What is the attenuation obtained with this lter at fs /4 where fs is the sampling frequency?
2) The
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2006
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2011
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2008
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has eight questions totalling 70 marks. You must answer
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2009
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has eight questions totalling 70 marks. You must answer
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2006
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2007
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
EEE401F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2004
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has six questions totalling 70 marks. You must answer al
EEE401F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2005
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 85 marks. You must answer
EEE401F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2003
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has seven questions totalling 70 marks. You must answer
University of Manchester
Department of Computer Science
CS3291 : Digital Signal Processing 05-06
Section 1: Introduction
A signal is a time-varying measurable quantity whose variation normally conveys information. The quantity is often a voltage obtained
University of Manchester: Dept. of Computer Science
BMGC
16/05/09
Section 2:
CS3291 : Digital Signal Processing '05-06
Review of Analogue Signals and LTI Systems
2.1 Introduction: An example of an LTI analogue system is a simple RC low-pass filter (fig 2.