Arab Academy for Science, Technology & Maritime Transport
Statistical Communication Theory
EC 421

Fall 2012
Arab Academy for Science & Technology & Maritime Transport EC421
Table (1): Some Useful Basic Mathematical Formulas
Calculus
odd function x odd function = even function
even function x even function = even function
odd function x even function = odd funct
Arab Academy for Science, Technology & Maritime Transport
Statistical Communication Theory
EC 421

Fall 2012
Arab Academy for Science & Technology & Maritime Transport EC421
Table (3): The Fourier Transform Pairs & Properties
Table (3a): Summary of Properties of the Fourier Transform
Property
Mathematical Description
1. Linearity
a g1 (t ) + b g 2 (t )
a G1 ( f
Arab Academy for Science, Technology & Maritime Transport
Statistical Communication Theory
EC 421

Fall 2012
Arab Academy for Science & Technology and
Maritime Transport Cairo Branch
College of Engineering & technology
Electronics & Communication Engineering Department
Course: Statistical Communication Theory
Lecturer: Dr. Salah El Agouz
Tutors: Eng. Mohamed Ate
Arab Academy for Science, Technology & Maritime Transport
Statistical Communication Theory
EC 421

Fall 2012
Arab Academy for Science & Technology & Maritime Transport EC421
Table (2): The QFunction
Standard Normal Distribution
Q( z ) = Pr [ Z > z ]
2
x
1
=
e 2 dx
2
z
= TheShaded Area
Q(z)
Z
z
z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.1
0.2
0.3
Arab Academy for Science, Technology & Maritime Transport
Statistical Communication Theory
EC 421

Fall 2012
Arab Academy for Science & Technology and
Maritime Transport Cairo Branch
College of Engineering & technology
Electronics & Communication Engineering Department
Course: Statistical Communication Theory
Lecturer: Dr. Salah El Agouz
Tutors: Eng. Mohamed