1.

Record Nr.

UNINA9910824343303321

Autore

Wagner Kevin

Titolo

Proportionate-type normalized least mean square algorithms / / Kevin Wagner, Miloš Doroslovački

Pubbl/distr/stampa

London, : ISTE

Hoboken, N.J., : Wiley, c2013

ISBN

9781118579558

1118579550

9781118579251

1118579259

9781118579664

1118579666

Edizione

[1st ed.]

Descrizione fisica

1 online resource (184 p.)

Collana

Digital signal and image processing series

Focus Series

Altri autori (Persone)

DoroslovačkiMiloš

Disciplina

511.8

Soggetti

Algorithms

Computer algorithms

Equations, Simultaneous - Numerical solutions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Title Page; Contents; Preface; Notation; Acronyms; Chapter 1. Introduction to PtNLMS Algorithms; 1.1. Applications motivating PtNLMS algorithms; 1.2. Historical review of existing PtNLMS algorithms; 1.3. Unified framework for representing PtNLMS algorithms; 1.4. Proportionate-type NLMS adaptive filtering algorithms; 1.4.1. Proportionate-type least mean square algorithm; 1.4.2. PNLMS algorithm; 1.4.3. PNLMS++ algorithm; 1.4.4. IPNLMS algorithm; 1.4.5. IIPNLMS algorithm; 1.4.6. IAF-PNLMS algorithm; 1.4.7. MPNLMS algorithm; 1.4.8. EPNLMS algorithm; 1.5. Summary

Chapter 2. LMS Analysis Techniques2.1. LMS analysis based on small adaptation step-size; 2.1.1. Statistical LMS theory: small step-size assumptions; 2.1.2. LMS analysis using stochastic difference equations with constant coefficients; 2.2. LMS analysis based on independent input signal assumptions; 2.2.1. Statistical LMS theory: independent



input signal assumptions; 2.2.2. LMS analysis using stochastic difference equations with stochastic coefficients; 2.3. Performance of statistical LMS theory; 2.4. Summary; 3. PtNLMS Analysis Techniques

3.1. Transient analysis of PtNLMS algorithm for white input3.1.1. Link between MSWD and MSE; 3.1.2. Recursive calculation of the MWD and MSWD for PtNLMS algorithms; 3.2. Steady-state analysis of PtNLMS algorithm: bias and MSWD calculation; 3.3. Convergence analysis of the simplified PNLMS algorithm; 3.3.1. Transient theory and results; 3.3.2. Steady-state theory and results; 3.4. Convergence analysis of the PNLMS algorithm; 3.4.1. Transient theory and results; 3.4.2. Steady-state theory and results; 3.5. Summary; 4. Algorithms Designed Based on Minimization of User-Defined Criteria

4.1. PtNLMS algorithms with gain allocation motivated by MSE minimization for white input4.1.1. Optimal gain calculation resulting from MMSE; 4.1.2. Water-filling algorithm simplifications; 4.1.3. Implementation of algorithms; 4.1.4. Simulation results; 4.2. PtNLMS algorithm obtained by minimization of MSE modeled by exponential functions; 4.2.1. WD for proportionate-type steepest descent algorithm; 4.2.2. Water-filling gain allocation for minimization of the MSE modeled by exponential functions; 4.2.3. Simulation results

4.3. PtNLMS algorithm obtained by minimization of the MSWD for colored input4.3.1. Optimal gain algorithm; 4.3.2. Relationship between minimization of MSE and MSWD; 4.3.3. Simulation results; 4.4. Reduced computational complexity suboptimal gain allocation for PtNLMS algorithm with colored input; 4.4.1. Suboptimal gain allocation algorithms; 4.4.2. Simulation results; 4.5. Summary; Chapter 5. Probability Density of WD for PtLMS Algorithms; 5.1. Proportionate-type least mean square algorithms; 5.1.1. Weight deviation recursion

5.2. Derivation of the Conditional PDF of WD for the PtLMS algorithm

Sommario/riassunto

The topic of this book is proportionate-type normalized least mean squares (PtNLMS) adaptive filtering algorithms, which attempt to estimate an unknown impulse response by adaptively giving gains proportionate to an estimate of the impulse response and the current measured error. These algorithms offer low computational complexity and fast convergence times for sparse impulse responses in network and acoustic echo cancellation applications. New PtNLMS algorithms are developed by choosing gains that optimize user-defined criteria, such as mean square error, at all times. PtNLMS algorithms ar



2.

Record Nr.

UNINA9911004756703321

Autore

Harrison Walter A

Titolo

Electronic Structure and the Properties of Solids : The Physics of the Chemical Bond

Pubbl/distr/stampa

Newburyport, : Dover Publications, 2012

ISBN

9780486141787

0486141780

9781621986423

162198642X

Edizione

[1st ed.]

Descrizione fisica

1 online resource (1011 p.)

Collana

Dover Books on Physics

Disciplina

530.4/11

Soggetti

Electronic structure

Chemical bonds

Solid state physics

Solid state chemistry

Physics

Physical Sciences & Mathematics

Atomic Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

Title Page; Copyright Page; Dedication; Preface to the Dover Edition - Recent Developments; Preface to the First Edition; Table of Contents; PART I - ELECTRON STATES; CHAPTER 1 - The Quantum-Mechanical Basis; 1-A Quantum Mechanics; 1-B Electronic Structure of Atoms; 1-C Electronic Structure of Small Molecules; 1-D The Simple Polar Bond; 1-E Diatomic Molecules; CHAPTER 2 - Electronic Structure of Solids; 2-A Energy Bands; 2-B Electron Dynamics; 2-C Characteristic Solid Types; 2-D Solid State Matrix Elements; 2-E Calculation of Spectra; PART II - COVALENT SOLIDS

CHAPTER 3 - Electronic Structure of Simple Tetrahedral Solids3-A Crystal Structures; 3-B Bond Orbitals; 3-C The LCAO Bands; 3-D The Bond Orbital Approximation and Extended Bond Orbitals; 3-E Metallicity; 3-F Planar and Filamentary Structures; CHAPTER 4 - Optical Spectra; 4-A Dielectric Susceptibility; 4-B Optical Properties and



Oscillator Strengths; 4-C Features of the Absorption Spectrum; 4-D χ1 and the Dielectric Constant; CHAPTER 5 - Other Dielectric Properties; 5-A Bond Dipoles and Higher-Order Susceptibilities; 5-B Effective Atomic Charge; 5-C Dielectric Screening; 5-D Ternary Compounds

5-E Magnetic SusceptibilityCHAPTER 6 - The Energy Bands; 6-A Accurate Band Structures; 6-B LCAO Interpretation of the Bands; 6-C The Conduction Bands; 6-D Effective Masses; 6-E Impurity States and Excitons; CHAPTER 7 - The Total Energy; 7-A The Overlap Interaction; 7-B Bond Length, Cohesive Energy, and the Bulk Modulus; 7-C Cohesion in Polar Covalent Solids; CHAPTER 8 - Elasticity; 8-A Total Energy Calculations; 8-B Rigid Hybrids; 8-C Rehybridization; 8-D The Valence Force Field; 8-E Internal Displacements, and Prediction of c44; CHAPTER 9 - Lattice Vibrations; 9-A The Vibration Spectrum

11-C The Bonding Unit11-D Bands and Electronic Spectra; 11-E Mechanical Properties; 11-F Vibrational Spectra; 11-G Coupling of Vibrations to the Infrared; PART III - CLOSED-SHELL SYSTEMS; CHAPTER 12 - Inert-Gas Solids; 12-A Interatomic Interactions; 12-B Electronic Properties; CHAPTER 13 - Ionic Compounds; 13-A The Crystal Structure; 13-B Electrostatic Energy and the Madelung Potential; 13-C Ion - ion Interactions; 13-D Cohesion and Mechanical Properties; 13-E Structure Determination and Ionic Radii; CHAPTER 14 - Dielectric Properties of Ionic Crystals; 14-A Electronic Structure and Spectra

14-B Dielectric Susceptibility

Sommario/riassunto

""Should be widely read by practicing physicists, chemists and materials scientists."" - Philosophical Magazine In this comprehensive and innovative text, Professor Harrison (Stanford University) offers a basic understanding of the electronic structure of covalent and ionic solids, simple metals, transition metals, and their compounds. The book illuminates the relationships of the electronic structures of these materials and shows how to calculate dielectric, conducting, and bonding properties for each. Also described are various methods of approximating electronic structure, providing insigh