Digital Signal Processing Reference
In-Depth Information
•
FOR loop approach:
>> for n = 1:1: 11
n1(n) = n - 1
y(n) = n1(n) * sin(pi*n1(n)/2)
end
>> y; gives the vector
y
>> stem(n1,y); plots the signal
y
(
n
) vs.
n
with
impulses
•
Vector approach:
>> n = 0 : 10; creates the vector
n
>> y = n.*sin(pi*n/2); obtains the vector
y
>> stem(n,y); plots the signal
y
(
n
) vs.
n
with impulses
Basic Signal Operations In MATLAB
Example:
Define the discrete-time signal
x
(
n
)
= n u
(
n
) in a vector in the
range 0
≤
n
≤
10 and plot the signal.
Solution:
>> n = 0:10; defines the vector
n
of length 11
>> u (1:11) = ones(1,11); defines the unit step
vector
u
of length 11
>> x = n. *u; defines the product
n u
(
n
)
>> stem(n,x); plots the discrete signal
x
(
n
)
Exercise 2: Working with vectors and matrices
•
Write a MATLAB program to sketch the following discrete-time
signals in the time range of
-
10
10. Please label all the graph
axes clearly. If the sequence is complex, plot the magnitude and angle
separately.
i.
≤
n
≤
x
(
n
) =
u
(
n
) -
u
(
n
- 3)
ii.
n
/3)
u
(
n
)
iii.
x
(
n
) = 0.5
n
e
j
π
n
/2
x
(
n
) = sin(
π
•
There are two main forms of vector or matrix multiplication. In
MATLAB, if two vectors,
a
and
b
(both vectors of size 1
xN
) are given,
then the two possible MATLAB multiplication commands are:
y
=
a*b and
y
= a.*b.
