東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Information loss in deterministic si...

Geiger, Bernhard C.

Linked to FindBook

Google Book

Amazon

博客來

Information loss in deterministic signal processing systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Information loss in deterministic signal processing systems/ by Bernhard C. Geiger, Gernot Kubin.
Author:	Geiger, Bernhard C.
other author:	Kubin, Gernot.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 145 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Part I: Random Variables -- Piecewise Bijective Functions and Continuous Inputs -- General Input Distributions -- Dimensionality-Reducing Functions -- Relevant Information Loss -- II. Part II: Stationary Stochastic Processes -- Discrete-Valued Processes -- Piecewise Bijective Functions and Continuous Inputs -- Dimensionality-Reducing Functions -- Relevant Information Loss Rate -- Conclusion and Outlook.
Contained By:	Springer eBooks
Subject:	Signal processing - Digital techniques -
Online resource:	http://dx.doi.org/10.1007/978-3-319-59533-7
ISBN:	9783319595337

Information loss in deterministic signal processing systems
Geiger, Bernhard C.

Information loss in deterministic signal processing systems[electronic resource] /by Bernhard C. Geiger, Gernot Kubin. - Cham :Springer International Publishing :2018. - xiii, 145 p. :ill. (some col.), digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

Introduction -- Part I: Random Variables -- Piecewise Bijective Functions and Continuous Inputs -- General Input Distributions -- Dimensionality-Reducing Functions -- Relevant Information Loss -- II. Part II: Stationary Stochastic Processes -- Discrete-Valued Processes -- Piecewise Bijective Functions and Continuous Inputs -- Dimensionality-Reducing Functions -- Relevant Information Loss Rate -- Conclusion and Outlook.

This book introduces readers to essential tools for the measurement and analysis of information loss in signal processing systems. Employing a new information-theoretic systems theory, the book analyzes various systems in the signal processing engineer's toolbox: polynomials, quantizers, rectifiers, linear filters with and without quantization effects, principal components analysis, multirate systems, etc. The user benefit of signal processing is further highlighted with the concept of relevant information loss. Signal or data processing operates on the physical representation of information so that users can easily access and extract that information. However, a fundamental theorem in information theory--data processing inequality--states that deterministic processing always involves information loss. These measures form the basis of a new information-theoretic systems theory, which complements the currently prevailing approaches based on second-order statistics, such as the mean-squared error or error energy. This theory not only provides a deeper understanding but also extends the design space for the applied engineer with a wide range of methods rooted in information theory, adding to existing methods based on energy or quadratic representations.

ISBN: 9783319595337

Standard No.: 10.1007/978-3-319-59533-7doiSubjects--Topical Terms:

888420
Signal processing
--Digital techniques

LC Class. No.: TK5102.9

Dewey Class. No.: 621.3822

Information loss in deterministic signal processing systems
LDR:02711nmm a2200325 a 4500 001 2130668
003 DE-He213
005 20170731193213.0
006 m d
007 cr nn 008maaau
008 181005s2018 gw s 0 eng d
020 $a 9783319595337 $q (electronic bk.)
020 $a 9783319595320 $q (paper)
024 7 $a 10.1007/978-3-319-59533-7 $2 doi
035 $a 978-3-319-59533-7
040 $a GP $c GP
041 0 $a eng
050 4 $a TK5102.9
072 7 $a GPFC $2 bicssc
072 7 $a TEC000000 $2 bisacsh
082 0 4 $a 621.3822 $2 23
090 $a TK5102.9 $b .G312 2018
100 1 $a Geiger, Bernhard C. $3 3295477
245 1 0 $a Information loss in deterministic signal processing systems $h [electronic resource] / $c by Bernhard C. Geiger, Gernot Kubin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 145 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Understanding complex systems, $x 1860-0832
505 0 $a Introduction -- Part I: Random Variables -- Piecewise Bijective Functions and Continuous Inputs -- General Input Distributions -- Dimensionality-Reducing Functions -- Relevant Information Loss -- II. Part II: Stationary Stochastic Processes -- Discrete-Valued Processes -- Piecewise Bijective Functions and Continuous Inputs -- Dimensionality-Reducing Functions -- Relevant Information Loss Rate -- Conclusion and Outlook.
520 $a This book introduces readers to essential tools for the measurement and analysis of information loss in signal processing systems. Employing a new information-theoretic systems theory, the book analyzes various systems in the signal processing engineer's toolbox: polynomials, quantizers, rectifiers, linear filters with and without quantization effects, principal components analysis, multirate systems, etc. The user benefit of signal processing is further highlighted with the concept of relevant information loss. Signal or data processing operates on the physical representation of information so that users can easily access and extract that information. However, a fundamental theorem in information theory--data processing inequality--states that deterministic processing always involves information loss. These measures form the basis of a new information-theoretic systems theory, which complements the currently prevailing approaches based on second-order statistics, such as the mean-squared error or error energy. This theory not only provides a deeper understanding but also extends the design space for the applied engineer with a wide range of methods rooted in information theory, adding to existing methods based on energy or quadratic representations.
650 0 $a Signal processing $x Digital techniques $x Mathematics. $3 888420
650 1 4 $a Engineering. $3 586835
650 2 4 $a Complexity. $3 893807
650 2 4 $a Signal, Image and Speech Processing. $3 891073
650 2 4 $a Complex Systems. $3 1566441
700 1 $a Kubin, Gernot. $3 3295478
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 1568162
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-59533-7
950 $a Engineering (Springer-11647)