http://iet.metastore.ingenta.com
1887

Random Processes

Random Processes

For access to this article, please select a purchase option:

Buy chapter PDF
£10.00
(plus tax if applicable)
Buy Knowledge Pack
10 chapters for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
Radar Detection — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

In radar and communication, signal reception is made difficult by randomly fluctuating waveforms that modulate or add to the desired signal. These waveforms, which change unpredictably as a function of time, are conveniently described statistically. They are observables of physical processes that are apparently controlled by a random mechanism; such functions of time are called random processes. There are many random processes in nature, such as the voltage generated across a resistor by thermally excited electrons, the spatial position of a particle undergoing Brownian motion, atmospheric pressure fluctuations, and so on. The mathematical representation of random processes introduced in this chapter is one of the tools required in the remainder of this book. Those wishing a broader and deeper understanding of this subject may consult the bibliography at the end of the chapter.

Chapter Contents:

  • 4.1 Introduction
  • 4.2 Characterization of a Random Process
  • 4.3 Statistically Independent Random Processes
  • 4.4 Stationary and Ergodicity
  • 4.5 Power Spectral Density
  • 4.6 Wiener-Khnintchine Theorem
  • 4.7 Shape of Power Spectral Density
  • 4.8 The Gaussian Random Process
  • 4.9 Fourier Series Representation of a Gaussian Random Process
  • 4.10 (Karhunen-Loéve) Orthonormal Expansion of a Gaussian Random Process
  • 4.11 The Narrowband Gaussian Random Process
  • Problems
  • Recommended Bibliography

Inspec keywords: random processes; radar detection

Other keywords: Brownian motion; random mechanism; physical process; random process; randomly-fluctuating waveforms; atmospheric pressure fluctuations; particle spatial position; thermally-excited electrons; signal reception

Subjects: Other topics in statistics; Signal detection; Radar theory

Preview this chapter:
Zoom in
Zoomout

Random Processes, Page 1 of 2

| /docserver/preview/fulltext/books/ra/sbra028e/SBRA028E_ch4-1.gif /docserver/preview/fulltext/books/ra/sbra028e/SBRA028E_ch4-2.gif

Related content

content/books/10.1049/sbra028e_ch4
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address