Digital Signal Processing Reference
In-Depth Information
• Open a file in any text editor (either in MATLAB or otherwise) and
write the program.
• After writing the program, exit the program after saving it as a
filename.m
file.
• To execute the program, either run the file from the MATLAB text
editor or type the filename after the prompt:
>> filename
The program will run, and the results and error messages, if any, will be
displayed on the screen. Plots will appear on a new screen.
Numbers
Example:
Generate the real numbers
z
1
= 3,
z
2
= 4.
>> z1 = 3
>> z2 = 4
Example:
Generate the complex numbers
z
1
= 3+
j
4,
z
2
= 4+
j
5.
>> z1 = 3+j*4
>> z2 = 4+j*5
N
OTE
:
The symbol
i
can be used instead of
j
to represent
.
−
1
Example:
Find the magnitude and phase of the complex number
z
= 3 +
j
4.
>> z = 3+j*4
>> zm = abs(z); gives the magnitude of
z
>> zp = angle(z); gives the phase of
z
in radians
Addition or subtraction of numbers (real or complex):
>> z = z1+z2; addition
>> z = z1-z2; subtraction
Multiplication or division of numbers (real or complex):
>> z = z1*z2; multiplication
>> z = z1/z2; division
Vectors and Matrices
Example:
Generate the vectors
x
= [1 3 5] and
y
= [2 0 4 5 6].
>> x = [1 3 5]; generates the vector of length 3
>> y = [2 0 4 5 6]; generates the vector of length 5
Addition or subtraction of vectors
x
and
y
of same length:
>> z = x+y; addition
>> z = x-y; subtraction
