Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
FIR
IIR
Achieving a linear phase is
always possible
Difficult to control the
linear-phase property.
Almost no particular
technique is available.
Can be unstable
Filter order
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Many real-life systems can be modeled by LTI systems use
convolution for computing the output use DFT to compute
convolution
Fast Fourier Transform (FFT) is a method for cal
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Definition of generalized linear-phase (GLP):
H ( ) H m ( )e j ( )
Lets focus on Type I FIR filter:
0,
N 2 L 1(odd ), h(n) h( N n 1), ( L )
It can be shown that
L
H m ( )
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Consists of three words:
Digital , Signal and Processing
Signal: any (physical or non-physical)
quantity that varies with time, space, or other
independent variable(s)
Dig
Digital Signal Processing
Assignment 2
Dear All
This assignment is intended for familiarity with MATLAB filter design.
The name of your zip assignment file should be HW1-XXXXXXXX In
which 8-digit number is your student number.
Notice that there is no debu
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
The principle goal of Phonetics is to provide an exact
description of every known speech sound
Domain of phonetics is independent of any particular
language
Phonemics is use
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
The study of the anatomy of the organs of speech is
required as a background for articulatory and acoustic
phonetics.
An understanding of hearing and perception is needed
in
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
LTI Systems
h(n)
FIR
Determine
coefficients of
h(n) [or P(z)
and Q(z)]
IIR
With rational transfer
function
P( z )
H ( z)
Q( z )
No rational transfer
function
H ( z)
P( z )
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
The DTFT is defined using an infinite sum over a
discrete time signal and yields a continuous
function X()
not very useful because the outcome cannot be stored on
a PC.
Now
Digital Signal Processing
Assignment 1
Dear All
This assignment is intended for familiarity with MATLAB and DSP in it.
The name of your zip assignment file should be HW1-XXXXXXXX In
which 8-digit number is your student number.
Notice that there is no debu
Digital Signal Processing
Assignment 3
Dear All
This assignment is intended for familiarity with DSP applications.
The name of your zip assignment file should be HW3-XXXXXXXX In
which 8-digit number is your student number.
Notice that there is no debug mo
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Our focus
Hossein Sameti, Dept. of Computer Eng.,
Sharif University of Technology
2
Hossein Sameti, Dept. of Computer Eng.,
Sharif University of Technology
3
Hossein Sameti,
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
x(n)
LTI System
h(n)
y ( n ) x ( n) * h ( n )
Y ( ) H ( ) X ( )
y(n)
Y ( ) X ( ) H ( )
Y ( ) H ( ) X ( )
Y ( ) H ( ) X ( )
x(n) X ( ) cos[n X ( )]
y (n) H ( ) X ( ) cos[n X
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Zcfw_x(n) X ( z ) x(n) z
n
Vs.
n
Complex function
X ( ) x(n)e jn
n
Complex variable
Q: Why do we need Z-transform?
A: For some signals, Fourier transform does not converge
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Our focus in the
next few lectures
Hossein Sameti, CE, SUT, Fall 1992
2
A discrete-time signal is a function of independent integer variables.
x(n) is not defined at insta
Hossein Sameti
Department of Computer Engineering
Sharif University of Technology
Eigen vector of matrix A:
AX X
In other words, once matrix A is multiplied by vector X,
the direction of X is preserved.
Eigen function of a system:
(n)
System
(n)
Hossei