Random Variables
(Supplementary materials)
Transformation of Random Variables
Given a random variable X, which is characterized by its pdf p(x), we
sometimes need to determine the pdf of the random va
Fourier Series and Transform
Fourier Series
Given a signal x(t) defined over the interval (t0, t0+T0) with the
definition
2
T0
0 = 2f 0 =
We define the complex exponential Fourier series as
x(t ) =
X
Chapter 4
Optimum Receiver Principles
Outline
1. Matched Filter
2. Decision Theory
3. Maximum a posteriori (MAP) Detection
4. Error Probability Analysis
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Demodulation and Detection of
Digital Sign
Chapter 2
Review of
Mathematical Preliminaries
Outline
1. Probability
2. Stochastic Process (Random Process)
Probability Theory and
Random Processes
The theory of probability and random process is an
Chapter 1
Introduction to
Digital Communications
Communication Systems
Communication is a process by which information is exchanged
between individuals through a common system of symbols, signs,
or b
Chapter 3
Signal Space Representations
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Outline
1. Vector Signal Representations
2. Signal Space Concepts
3. Gram-Schmidt Orthogonalization
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Vector Spaces
A n-dimentional vector v=[v1, v2, ,