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Probability and Random Processes for Electrical and Computer Engineers

Probability and Random Processes for Electrical and Computer Engineers (Hardcover, 2)

Charles W. Therrien, Murali Tummala (지은이)
CRC Pr I Llc
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· 제목 : Probability and Random Processes for Electrical and Computer Engineers (Hardcover, 2) 
· 분류 : 외국도서 > 컴퓨터 > 컴퓨터 엔지니어링
· ISBN : 9781439826980
· 쪽수 : 431쪽
· 출판일 : 2011-09-20

목차

Part I: Probability and Random Variables

 

Introduction

The Analysis of Random Experiments

Probability in Electrical and Computer Engineering

Outline of the Book


The Probability Model

The Algebra of Events

Probability of Events

Some Applications

Conditional Probability and Bayes’ Rule

More Applications


Random Variables and Transformations

Discrete Random Variables

Some Common Discrete Probability Distributions

Continuous Random Variable

Some Common Continuous Probability Density Functions

CDF and PDF for Discrete and Mixed Random Variables

Transformation of Random Variables

Distributions Conditioned on an Event

Applications


Expectation, Moments, and Generating Functions

Expectation of a Random Variable

Moments of a Distribution

Generating Functions

Application: Entropy and Source Coding


Two and More Random Variables

Two Discrete Random Variables

Two Continuous Random Variables

Expectation and Correlation

Gaussian Random Variables

Multiple Random Variables

Sums of Some Common Random Variables

Summary


Inequalities, Limit Theorems, and Parameter Estimation

Inequalities

Convergence and Limit Theorems

Estimation of Parameters

Maximum Likelihood Estimation

Point Estimates and Confidence Intervals

Application to Signal Estimation

Summary


Random Vectors

Random Vectors

Analysis of Random Vectors

Transformations

Cross Correlation and Covariance

Applications to Signal Processing

Summary

 

Part II: Introduction to Random Processes

Random Processes

Introduction

Characterizing a Random Process

Some Discrete Random Processes

Some Continuous Random Processes

Summary


Random Signals in the Time Domain

First and Second Moments of a Random Process

Cross Correlation

Complex Random Processes

Discrete Random Processes

Transformation by Linear Systems

Some Applications

Summary


Random Signals in the Frequency Domain

Power Spectral Density Function

White Noise

Transformation by Linear Systems

Discrete Random Signals

Applications

Summary


Markov, Poisson, and Queueing Processes

The Poisson Model

Discrete-Time Markov Chains

Continuous-Time Markov Chains

Basic Queueing Theory

Summary


Appendices

A Basic Combinatorics

B The Unit Impulse

C The Error Function

D Noise Sources

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