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

## The A Posteriori Theory of Reception

• Author(s):
• DOI:

$16.00 (plus tax if applicable) ##### Buy Knowledge Pack 10 chapters for$120.00
(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.

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:

## Thank you

In the a posteriori theory of reception, a posteriori probabilities and probability densities provide a complete description of the results of the receiving process. An ideal receiver, by definition, calculates and presents the a posteriori distribution of a desired quantity or quantities to an observer. Owing to the dependence of the a posteriori distribution on a priori information, which may not always be available, the concept of a sufficient receiver was introduced. A sufficient receiver calculates and presents to the observer a sufficient statistic; this statistic contains the essential information in the received waveform and permits the a posteriori distribution to be computed when the a priori statistics are known. When reception occurs in additive Gaussian noise, the a posteriori theory leads to sufficient receivers that employ matched filters. However, the theory has been found to be useful in many situations where the optimum receiver structure is not obvious.

Chapter Contents:

• 7.1 Introduction
• 7.2 Information Measure - Discrete Case
• 7.3 Information Measure - Continuous Case
• 7.5 The A Posteriori Distribution in the Presence of White Gaussian Noise
• 7.7 Estimating Radar Range of a Stationary Target with Known Cross Section
• 7.8 A Posteriori Detection
• 7.9 Band-Limited Signals in Colored Noise
• 7.10 Arbitrary Signals in Colored Noise
• 7.11 Signals Perturbed by a Random Channel
• 7.12 Summary
• Problems
• References

Inspec keywords:

Preview this chapter:

The A Posteriori Theory of Reception, Page 1 of 2

| /docserver/preview/fulltext/books/ra/sbra028e/SBRA028E_ch7-1.gif /docserver/preview/fulltext/books/ra/sbra028e/SBRA028E_ch7-2.gif

### Related content

content/books/10.1049/sbra028e_ch7
pub_keyword,iet_inspecKeyword,pub_concept
6
6
This is a required field