Due: Nov. 21, 2014
Middle East Technical University
Dept. of EEE
EE 430 Digital Signal Processing 2014 Fall
Submit for problems 2, 3, 6, 7, 8.
1) Let [] = [] + 3[ 1] + [ 2].
a. Plot [] and its periodi
SAMPLING
Continuous-time signals are commonly processed by using digital systems. Mobile devices, TV receivers and displays, radar,
sonar,
Widely used term is analog to digital, (A/D) conversion.
Howe
Discrete-Time Signals
A sequence (ordering) of (real, complex) numbers, nth element is [ ]
.
x n
1
6
3 2
1
34
2
5
n
7
May have been obtained by sampling a continuous-time signal, i.e.,
Ex:
Let T = 0.0
z-Transform
Im cfw_ z
z-transform of a sequence x [ n ] is defined as
X (z ) =
x[n]z
n
,
z = re j
z C ,
n =
r
z
Re cfw_ z
Therefore X(z) is a complex valued function.
It takes complex values on the
Discrete-Time Systems
x n
Roughly stated,
A system is a transformation
A system is an input-output relationship
T
y n
SISO system
Ex: A delay system y n x n
Ex: y n ax n bx n 1
1 sample delay
a
b
N2
Linear Constant Coefficient Difference Equations
LTI systems man be represented by LCCDEs.
N
M
k =0
k =0
ak y [n k ] = bk x [ n k ]
y[n] + a1 y[n 1] + a 2 y[n 2] = b0 x[n] + b1 x[n 1] + b2 x[n 2]
x[n
LTI Systems
CONVOLUTION
Linearity (and time-invariance) of a system, and representation of its input signal in terms of impulses
( x [n] =
x [ k ] [ n k ] ) can be combined to compute the output of t
EE430 Digital Signal Processing
Signal processing is concerned with the representation, transformation and manipulation of
signals as well as the information they contain.
Signal Processing
Theory
Spe
Frequency Domain Representation of LTI Systems
In the context of LTI systems, Frequency Domain refers to the input domain of sinusoidal signals.
Consider an LTI system with imp. resp. h[n]
The input i
EE 430 Digital Signal Processing (Fall 2016), Electrical and Electronics Engineering Department, Middle East Technical University
Due Date: 28 November 2016, Monday (12:00) via odtuclass.metu.edu.tr.
EE 430 Digital Signal Processing (Fall 2016), Electrical and Electronics Engineering Department, Middle East Technical University
Due Date: 02 November 2016, Wednesday (23:59) via odtuclass.metu.edu.t
Unit - 1
Fall 2015
(part -1)
1
Signals - Introduction
Signal: Anything that carries some information can be called
as signal. A signal is also defined as any physical
quantity that varies with time, s
DFT
Discrete Fourier Transform
For a sequence x[n], its DTFT, X e j , is a function of a continuous variable ().
However, if x n is of finite length N, it can be considered as one period of its period
Due: Oct. 31, 2013
Middle East Technical University
Dept. of EEE
EE 430 Digital Signal Processing 2014 Fall
Submit for the first 9 problems. (29 in total)
1) The following difference equation for a ca
EE 430 Digital Signal Processing (2017-2018 Fall), Electrical and Electronics Engineering Department, Middle East Technical University
Homework 2
Due date: 21/11/2017, until 23.55
Submit 3, 4, 5, 7, 1
EE 430 Digital Signal Processing (2017-2018 Fall), Electrical and Electronics Engineering Department, Middle East Technical University
Homework 1
Due date: 31/10/2017, until 23.55
Submit 3, 9, 10, 11,
Due: Oct. 11, 2013
Middle East Technical University
Dept. of EEE
EE 430 Digital Signal Processing 2014 Fall
1) A discrete-time signal [] is obtained by sampling a continuous-time sinusoidal signal
()
Due:
Middle East Technical University
Dept. of EEE
EE 430 Digital Signal Processing 2014 Fall
No submission!
Computation of DFT
1) Consider a sequence whose length is a power-of-three. In this case, d
Due: Dec. 1, 2014
Middle East Technical University
Dept. of EEE
EE 430 Digital Signal Processing 2014 Fall
Submit for problems 1,2,3,5,7,8
1) A function () is shown in the figure. Plot () =
= ( 8) fo
Due: Dec. 22, 2014
Middle East Technical University
Dept. of EEE
EE 430 Digital Signal Processing 2014 Fall
Submit for problems 0, 2, 5, 7, 11, 13, 15, 23, 25, 29
0) A photograph of what is in the tit
EE 435 Fall 2017
HW Set #3
Due: 16:55, December 1, 2017
Problem-1)
Consider a superheterodyne receiver made to receive FM stations. The receiver uses a 9 MHz IF
stage and a limiter-discriminator type
Name:
M.E.T.U. Electrical-Electronics Engineering Department
EE 430 Digital Signal Processing
QUIZ
Surname:
22.10.2010
Id No:
Attempt all (10) questions
8:40
Closed books and notes
1)
2)
3)
4)
5)
6)
7
Signal Processing
Signal
Processing
is
a
method
of
extracting information from the signal which
in turn depends on the type of signal and the
nature of information it carries.
1
What is a system?
A sy