Cargando…
Special integral functions used in wireless communications theory /
This monograph summarizes the special functions needed in the performance analysis of wireless communications systems. On the basis of special Gaussian and Owen functions, the methodology for the calculation of the relationship for symbol and bit error probabilities with coherent reception, for the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Hackensack?] NJ :
World Scientific,
2014.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn883374302 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 140412s2014 nju ob 001 0 eng d | ||
| 040 | |a IDEBK |b eng |e rda |e pn |c IDEBK |d OCLCQ |d OCLCO |d YDXCP |d MYG |d N$T |d OCLCQ |d OCLCO |d AGLDB |d OCLCQ |d OCLCF |d OCLCQ |d VTS |d AU@ |d OCLCQ |d WYU |d STF |d M8D |d UKAHL |d OCLCO |d OCLCQ | ||
| 019 | |a 1058097969 | ||
| 020 | |a 9789814603225 |q (electronic bk.) | ||
| 020 | |a 9814603228 |q (electronic bk.) | ||
| 020 | |a 1306942136 |q (electronic bk.) | ||
| 020 | |a 9781306942133 |q (electronic bk.) | ||
| 020 | |a 9789814603218 | ||
| 020 | |a 981460321X | ||
| 029 | 1 | |a AU@ |b 000053396278 | |
| 029 | 1 | |a DEBBG |b BV043028848 | |
| 029 | 1 | |a DEBSZ |b 446461075 | |
| 029 | 1 | |a NZ1 |b 15910023 | |
| 029 | 1 | |a AU@ |b 000061330503 | |
| 035 | |a (OCoLC)883374302 |z (OCoLC)1058097969 | ||
| 050 | 4 | |a TK5102.83 |b .S28 2014eb | |
| 072 | 7 | |a TEC |x 009070 |2 bisacsh | |
| 082 | 0 | 4 | |a 621.38401/5154 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Savischenko, Nikolay V. | |
| 245 | 1 | 0 | |a Special integral functions used in wireless communications theory / |c by Nikolay V. Savischenko (Saint Petersburg State University of Telecommunications, Russia). |
| 264 | 1 | |a [Hackensack?] NJ : |b World Scientific, |c 2014. | |
| 300 | |a 1 online resource (640 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Machine generated contents note: 1.1. Basic Definitions and Properties of Gaussian Q-function -- 1.2. Approximation of Gaussian Q-function -- 1.3. The Upper and Lower Bounds of Gaussian Q-function -- 1.4. Examples of the Problems Solution with Gaussian Q-function -- 2.1. Bivariate Normal Density of Distribution and its Basic Properties -- 2.2. Integral Representations of Owen T-function and its Basic Algebraic Properties -- 2.3. The Upper and the Lower Bounds of Owen T-function -- 2.4. Polynomial and Power Approximations of Owen T-function -- 2.5. The Calculation of the Hit Probability of Bivariate Gaussian Random Variable into the Area Bounded with a Polygon (Broken Line) -- 2.5.1. The characteristic of the existing technique of calculating hit probability of bivariate Gaussian random variable into the area bounded with a polygon (broken line). | |
| 505 | 0 | |a Note continued: 2.5.2. The technique of calculating the hit probability of bivariate Gaussian random variable into the area bounded with the polygon (broken line) in the form of algebraic sum of Owen T-function -- 2.5.3. The classification rule of the position of the origin coordinates in relation to the boundaries of the arbitrary polygon (a closed broken line) -- 2.6. Examples of the Hit Probability Calculation of a Bivariate Gaussian Random Variable of Various Types of Areas -- 2.7. Basic Relations for the Integral Calculation from the Density of a Trivariate Normal Distribution -- 3.1. The Mathematical Model of a Communication Channel with Determined Parameters and Additive White Gaussian Noise -- 3.2. Exact Formulas for Probability of Symbol and Bit Errors of M-PSK -- 3.2.1. Classical signal construction M-PSK -- 3.2.2. Hierarchical signal construction of M-PSK -- 3.3. Exact Formulas- of Symbol and Bit Error Probability of M-QAM. | |
| 505 | 0 | |a Note continued: 3.3.1. Classical signal construction M-QAM -- 3.3.2. Hierarchical signal construction M-QAM -- 3.4. Exact Formulas of Symbol Error Probability M-QAM-"cross" -- 3.5. Exact Formulas of Symbol Error Probability of M-HEX -- 3.6. Exact Formulas of Symbol Error Probability of M-APSK -- 3.7. Exact Relations for Probabilities of Symbol Errors of Receiving the Signal Constructions Applied in Telecommunication Standards -- 4.1. The Mathematical Model of a Communication Channel with the Generalized Fading -- 4.2. The Special Integral H-function for the Decision of a Problem of the Analysis of a Noise Immunity in the Channel with the Rayleigh, Rice, Rice[--]Nakagami and Beckmann Generalized Facings -- 4.3. The Basic Relations and Algebraic Properties of H-function -- 4.4. Application of H-function for a Noise Immunity Estimation in the Channel with the Rayleigh, Rice, Rice[--]Nakagami and Beckmann Generalized Fadings. | |
| 505 | 0 | |a Note continued: 4.5. The Examples of Calculation of Errors Probability in the Channel with the Rayleigh, Rice and Rice[--]Nakagami Generalized Fadings -- 5.1. Special Integral S-function for Calculation of Error Probabilities in the Channel with the Generalized Four-parametric Fadings -- 5.2. The Basic Relations and Algebraic Properties of S-function -- 5.3. The Five-parametric Distribution Law for a Channel with Generalized Fadings -- 5.4. Application of H-functions for Noise Immunity Estimation under Noncoherent Reception -- 6.1. Diversity Methods in Radio Communication Systems -- 6.2. Basic Abbreviations, Notations and Assumptions -- 6.3. Maximal Ratio Combining -- 6.3.1.Computational procedure of error probability in a channel with the diversity reception -- 6.3.2. Four-parametric distribution law for a channel with generalized fadings and diversity reception. | |
| 505 | 0 | |a Note continued: 6.3.3. Special integral H(L)-functions and S(L)-functions for the calculation of error probability in a channel with generalized four-parametric fadings and diversity reception -- 6.3.4. Noise immunity of the coherent diversity reception of multipositional signal constructions at the correlated Rayleigh and Nakagami fadings -- 6.4. Selection Diversity Combining -- 6.4.1. Noise immunity of the coherent diversity reception of multipositional signal constructions at the correlated Rayleigh, Nakagami and Rice fadings. | |
| 520 | |a This monograph summarizes the special functions needed in the performance analysis of wireless communications systems. On the basis of special Gaussian and Owen functions, the methodology for the calculation of the relationship for symbol and bit error probabilities with coherent reception, for the two-dimensional multi-positional signal constructions in communications channel with deterministic parameters and additive white Gaussian noise (AWGN), was developed. To explain the concepts, examples are provided after the mathematical proofs to illustrate how the theorems could be applied; this includes symbol and bit error probability formulas receiving for present signal constructions (QAM, PSK, APSK and HEX), and error probability dependencies from signal-to-noise ratio (SNR). There are many books in communications theory dealing with several topics covered in this monograph, but none has consolidated all error probability calculations in a single book. This book therefore serves a very niche area. This text is written for graduate students, researchers, and professionals specializing in wireless communications and electrical engineering; dealing with probability and statistics, approximation, and analysis & differential equations. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Wireless communication systems |x Mathematical models. | |
| 650 | 0 | |a Calculus, Integral. | |
| 650 | 0 | |a Signal processing |x Mathematics. | |
| 650 | 6 | |a Transmission sans fil |x Modèles mathématiques. | |
| 650 | 6 | |a Calcul intégral. | |
| 650 | 6 | |a Traitement du signal |x Mathématiques. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Mechanical. |2 bisacsh | |
| 650 | 7 | |a Calculus, Integral. |2 fast |0 (OCoLC)fst00844143 | |
| 650 | 7 | |a Signal processing |x Mathematics. |2 fast |0 (OCoLC)fst01118302 | |
| 776 | 1 | |z 9789814603218 | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810380 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26892075 | ||
| 938 | |a EBSCOhost |b EBSC |n 810380 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis28616139 | ||
| 938 | |a YBP Library Services |b YANK |n 11964696 | ||
| 994 | |a 92 |b IZTAP | ||