Parametric Time Frequency Domain Spatial Audio

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Parametric Time-Frequency Domain Spatial Audio

Author : Ville Pulkki
Publisher : John Wiley & Sons
ISBN 13 : 111925261X
Total Pages : 416 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Parametric Time-Frequency Domain Spatial Audio by : Ville Pulkki

Download or read book Parametric Time-Frequency Domain Spatial Audio written by Ville Pulkki and published by John Wiley & Sons. This book was released on 2017-10-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide that addresses the theory and practice of spatial audio This book provides readers with the principles and best practices in spatial audio signal processing. It describes how sound fields and their perceptual attributes are captured and analyzed within the time-frequency domain, how essential representation parameters are coded, and how such signals are efficiently reproduced for practical applications. The book is split into four parts starting with an overview of the fundamentals. It then goes on to explain the reproduction of spatial sound before offering an examination of signal-dependent spatial filtering. The book finishes with coverage of both current and future applications and the direction that spatial audio research is heading in. Parametric Time-frequency Domain Spatial Audio focuses on applications in entertainment audio, including music, home cinema, and gaming—covering the capturing and reproduction of spatial sound as well as its generation, transduction, representation, transmission, and perception. This book will teach readers the tools needed for such processing, and provides an overview to existing research. It also shows recent up-to-date projects and commercial applications built on top of the systems. Provides an in-depth presentation of the principles, past developments, state-of-the-art methods, and future research directions of spatial audio technologies Includes contributions from leading researchers in the field Offers MATLAB codes with selected chapters An advanced book aimed at readers who are capable of digesting mathematical expressions about digital signal processing and sound field analysis, Parametric Time-frequency Domain Spatial Audio is best suited for researchers in academia and in the audio industry.

Parametric Time-Frequency Domain Spatial Audio

Author : Ville Pulkki
Publisher : John Wiley & Sons
ISBN 13 : 111925258X
Total Pages : 416 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Parametric Time-Frequency Domain Spatial Audio by : Ville Pulkki

Download or read book Parametric Time-Frequency Domain Spatial Audio written by Ville Pulkki and published by John Wiley & Sons. This book was released on 2017-10-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide that addresses the theory and practice of spatial audio This book provides readers with the principles and best practices in spatial audio signal processing. It describes how sound fields and their perceptual attributes are captured and analyzed within the time-frequency domain, how essential representation parameters are coded, and how such signals are efficiently reproduced for practical applications. The book is split into four parts starting with an overview of the fundamentals. It then goes on to explain the reproduction of spatial sound before offering an examination of signal-dependent spatial filtering. The book finishes with coverage of both current and future applications and the direction that spatial audio research is heading in. Parametric Time-frequency Domain Spatial Audio focuses on applications in entertainment audio, including music, home cinema, and gaming—covering the capturing and reproduction of spatial sound as well as its generation, transduction, representation, transmission, and perception. This book will teach readers the tools needed for such processing, and provides an overview to existing research. It also shows recent up-to-date projects and commercial applications built on top of the systems. Provides an in-depth presentation of the principles, past developments, state-of-the-art methods, and future research directions of spatial audio technologies Includes contributions from leading researchers in the field Offers MATLAB codes with selected chapters An advanced book aimed at readers who are capable of digesting mathematical expressions about digital signal processing and sound field analysis, Parametric Time-frequency Domain Spatial Audio is best suited for researchers in academia and in the audio industry.

The Technology of Binaural Listening

Author : Jens Blauert
Publisher : Springer Science & Business Media
ISBN 13 : 3642377629
Total Pages : 511 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Technology of Binaural Listening by : Jens Blauert

Download or read book The Technology of Binaural Listening written by Jens Blauert and published by Springer Science & Business Media. This book was released on 2013-06-07 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on the application of advanced models of the human binaural hearing system in modern technology, among others, in the following areas: binaural analysis of aural scenes, binaural de-reverberation, binaural quality assessment of audio channels, loudspeakers and performance spaces, binaural perceptual coding, binaural processing in hearing aids and cochlea implants, binaural systems in robots, binaural/tactile human-machine interfaces, speech-intelligibility prediction in rooms and/or multi-speaker scenarios. An introduction to binaural modeling and an outlook to the future are provided. Further, the book features a MATLAB toolbox to enable readers to construct their own dedicated binaural models on demand.

Ambisonics

Author : Franz Zotter
Publisher : Springer
ISBN 13 : 3030172074
Total Pages : 210 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Ambisonics by : Franz Zotter

Download or read book Ambisonics written by Franz Zotter and published by Springer. This book was released on 2019-04-30 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book provides a concise explanation of the fundamentals and background of the surround sound recording and playback technology Ambisonics. It equips readers with the psychoacoustical, signal processing, acoustical, and mathematical knowledge needed to understand the inner workings of modern processing utilities, special equipment for recording, manipulation, and reproduction in the higher-order Ambisonic format. The book comes with various practical examples based on free software tools and open scientific data for reproducible research. The book’s introductory section offers a perspective on Ambisonics spanning from the origins of coincident recordings in the 1930s to the Ambisonic concepts of the 1970s, as well as classical ways of applying Ambisonics in first-order coincident sound scene recording and reproduction that have been practiced since the 1980s. As, from time to time, the underlying mathematics become quite involved, but should be comprehensive without sacrificing readability, the book includes an extensive mathematical appendix. The book offers readers a deeper understanding of Ambisonic technologies, and will especially benefit scientists, audio-system and audio-recording engineers. In the advanced sections of the book, fundamentals and modern techniques as higher-order Ambisonic decoding, 3D audio effects, and higher-order recording are explained. Those techniques are shown to be suitable to supply audience areas ranging from studio-sized to hundreds of listeners, or headphone-based playback, regardless whether it is live, interactive, or studio-produced 3D audio material.

Analytic Methods of Sound Field Synthesis

Author : Jens Ahrens
Publisher : Springer Science & Business Media
ISBN 13 : 3642257437
Total Pages : 300 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Analytic Methods of Sound Field Synthesis by : Jens Ahrens

Download or read book Analytic Methods of Sound Field Synthesis written by Jens Ahrens and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts the focus on serving human listeners in the sound field synthesis although the approach can be also exploited in other applications such as underwater acoustics or ultrasonics. The author derives a fundamental formulation based on standard integral equations and the single-layer potential approach is identified as a useful tool in order to derive a general solution. He also proposes extensions to the single-layer potential approach which allow for a derivation of explicit solutions for circular, planar, and linear distributions of secondary sources. Based on above described formulation it is shown that the two established analytical approaches of Wave Field Synthesis and Near-field Compensated Higher Order Ambisonics constitute specific solutions to the general problem which are covered by the single-layer potential solution and its extensions.

Communication Acoustics

Author : Ville Pulkki
Publisher : John Wiley & Sons
ISBN 13 : 1118866541
Total Pages : 454 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Communication Acoustics by : Ville Pulkki

Download or read book Communication Acoustics written by Ville Pulkki and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: In communication acoustics, the communication channel consists of a sound source, a channel (acoustic and/or electric) and finally the receiver: the human auditory system, a complex and intricate system that shapes the way sound is heard. Thus, when developing techniques in communication acoustics, such as in speech, audio and aided hearing, it is important to understand the time–frequency–space resolution of hearing. This book facilitates the reader’s understanding and development of speech and audio techniques based on our knowledge of the auditory perceptual mechanisms by introducing the physical, signal-processing and psychophysical background to communication acoustics. It then provides a detailed explanation of sound technologies where a human listener is involved, including audio and speech techniques, sound quality measurement, hearing aids and audiology. Key features: Explains perceptually-based audio: the authors take a detailed but accessible engineering perspective on sound and hearing with a focus on the human place in the audio communications signal chain, from psychoacoustics and audiology to optimizing digital signal processing for human listening. Presents a wide overview of speech, from the human production of speech sounds and basics of phonetics to major speech technologies, recognition and synthesis of speech and methods for speech quality evaluation. Includes MATLAB examples that serve as an excellent basis for the reader’s own investigations into communication acoustics interaction schemes which intuitively combine touch, vision and voice for lifelike interactions.

Introduction to Sound Processing

Author : Davide Rocchesso
Publisher : Mondo Estremo
ISBN 13 : 8890112611
Total Pages : 244 pages
Book Rating : 4.8/5 (91 download)

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Book Synopsis Introduction to Sound Processing by : Davide Rocchesso

Download or read book Introduction to Sound Processing written by Davide Rocchesso and published by Mondo Estremo. This book was released on 2003 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Spherical Array Processing

Author : Boaz Rafaely
Publisher : Springer
ISBN 13 : 3319995618
Total Pages : 193 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Fundamentals of Spherical Array Processing by : Boaz Rafaely

Download or read book Fundamentals of Spherical Array Processing written by Boaz Rafaely and published by Springer. This book was released on 2018-09-27 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory and practice of spherical microphone arrays, and was written for graduate students, researchers and engineers who work with spherical microphone arrays in a wide range of applications. The new edition includes additions and modifications, and references supplementary Matlab code to provide the reader with a straightforward start for own implementations. The book is also accompanied by a Matlab manual, which explains how to implement the examples and simulations presented in the book. The first two chapters provide the reader with the necessary mathematical and physical background, including an introduction to the spherical Fourier transform and the formulation of plane-wave sound fields in the spherical harmonic domain. In turn, the third chapter covers the theory of spatial sampling, employed when selecting the positions of microphones to sample sound pressure functions in space. Subsequent chapters highlight various spherical array configurations, including the popular rigid-sphere-based configuration. Beamforming (spatial filtering) in the spherical harmonics domain, including axis-symmetric beamforming, and the performance measures of directivity index and white noise gain are introduced, and a range of optimal beamformers for spherical arrays, including those that achieve maximum directivity and maximum robustness are developed, along with the Dolph–Chebyshev beamformer. The final chapter discusses more advanced beamformers, such as MVDR (minimum variance distortionless response) and LCMV (linearly constrained minimum variance) types, which are tailored to the measured sound field. Mathworks kindly distributes the Matlab sources for this book on https://www.mathworks.com/matlabcentral/fileexchange/68655-fundamentals-of-spherical-array-processing.

Signal Analysis

Author : Ronald L. Allen
Publisher : John Wiley & Sons
ISBN 13 : 0471660361
Total Pages : 961 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Signal Analysis by : Ronald L. Allen

Download or read book Signal Analysis written by Ronald L. Allen and published by John Wiley & Sons. This book was released on 2004-06-07 with total page 961 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods Equally useful as a reference, an up-to-date review, a learning tool, and a resource for signal analysis techniques Provides a gradual introduction to the mathematics so that the less mathematically adept reader will not be overwhelmed with instant hard analysis Covers Hilbert spaces, complex analysis, distributions, random signals, analog Fourier transforms, and more

Window Functions and Their Applications in Signal Processing

Author : K. M. M. Prabhu
Publisher : CRC Press
ISBN 13 : 1466515848
Total Pages : 404 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Window Functions and Their Applications in Signal Processing by : K. M. M. Prabhu

Download or read book Window Functions and Their Applications in Signal Processing written by K. M. M. Prabhu and published by CRC Press. This book was released on 2018-09-03 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Window functions—otherwise known as weighting functions, tapering functions, or apodization functions—are mathematical functions that are zero-valued outside the chosen interval. They are well established as a vital part of digital signal processing. Window Functions and their Applications in Signal Processing presents an exhaustive and detailed account of window functions and their applications in signal processing, focusing on the areas of digital spectral analysis, design of FIR filters, pulse compression radar, and speech signal processing. Comprehensively reviewing previous research and recent developments, this book: Provides suggestions on how to choose a window function for particular applications Discusses Fourier analysis techniques and pitfalls in the computation of the DFT Introduces window functions in the continuous-time and discrete-time domains Considers two implementation strategies of window functions in the time- and frequency domain Explores well-known applications of window functions in the fields of radar, sonar, biomedical signal analysis, audio processing, and synthetic aperture radar

Principles and Applications of Spatial Hearing

Author : Yôiti Suzuki
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814313872
Total Pages : 503 pages
Book Rating : 4.3/5 (138 download)

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Book Synopsis Principles and Applications of Spatial Hearing by : Yôiti Suzuki

Download or read book Principles and Applications of Spatial Hearing written by Yôiti Suzuki and published by World Scientific Publishing Company Incorporated. This book was released on 2011 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Section 3. Capturing and controlling the spatial sound field. A study on 3D sound image control by two loudspeakers located in the transverse plane / K. Iida, T. Ishii, and Y. Ishii. Selective listening point audio based on blind signal separation and 3D audio effect / T. Nishino [und weitere]. Selective listening point audio based on blind signal separation and 3D audio effect / T. Nishino. Sweet spot size in virtual sound reproduction : A temporal analysis / Y. Lacouture Parodi and P. Rubak. Psychoacoustic evaluation of different methods for creating individualized, headphone-presented virtual auditory space from B-format room impulse responses / A. Kan, C. Jin, and A. van Schaik. Effects of microphone arrangements on the accuracy of a spherical microphone array (SENZI) in acquiring high-definition 3D sound space information / J. Kodama [und weitere]. Perception-based reproduction of spatial sound with directional audio coding / V. Pulkki [und weitere]. Capturing and recreating auditory virtual reality / R. Duraiswami [und weitere]. Reconstructing sound source directivity in virtual acoustic environments / M. Noisternig, F. Zotter, and B.F.G. Katz. Implementation of real-time room auralization using a surrounding loudspeaker array / T. Okamoto [und weitere]. Spatialisation in audio augmented reality using finger snaps / H. Gamper and T. Lokki. Generation of sound ball : Its theory and implementation / Y.-H. Kim [und weitere]. Estimation of high-resolution sound properties for realizing an editable sound-space system / T. Okamoto, Y. Iwaya, and Y. Suzuki -- Section 4. Applying virtual sound techniques in the real world. Binaural hearing assistance system based on frequency domain binaural model / T. Usagawa and Y. Chisaki. A spatial auditory display for telematic music performances / J. Braasch [und weitere]. Auditory orientation training system developed for blind people using PC-based wide-range 3-D sound technology / Y. Seki [und weitere]. Mapping musical scales onto virtual 3D spaces / J. Villegas and M. Cohen. Sonifying head-related transfer unctions / D. Cabrera and W.L. Martens. Effects of spatial cues on detectability of alarm signals in noisy environments / N. Kuroda [und weitere]. Binaural technique for active noise control assessment / Y. Watanabe and H. Hamada

Digital Audio Signal Processing

Author : Udo Zölzer
Publisher : John Wiley & Sons
ISBN 13 : 1119832691
Total Pages : 420 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Digital Audio Signal Processing by : Udo Zölzer

Download or read book Digital Audio Signal Processing written by Udo Zölzer and published by John Wiley & Sons. This book was released on 2022-02-24 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Audio Signal Processing The fully revised new edition of the popular textbook, featuring additional MATLAB exercises and new algorithms for processing digital audio signals Digital Audio Signal Processing (DASP) techniques are used in a variety of applications, ranging from audio streaming and computer-generated music to real-time signal processing and virtual sound processing. Digital Audio Signal Processing provides clear and accessible coverage of the fundamental principles and practical applications of digital audio processing and coding. Throughout the book, the authors explain a wide range of basic audio processing techniques and highlight new directions for automatic tuning of different algorithms and discuss state- of-the-art DASP approaches. Now in its third edition, this popular guide is fully updated with the latest signal processing algorithms for audio processing. Entirely new chapters cover nonlinear processing, Machine Learning (ML) for audio applications, distortion, soft/hard clipping, overdrive, equalizers and delay effects, sampling and reconstruction, and more. Covers the fundamentals of quantization, filters, dynamic range control, room simulation, sampling rate conversion, and audio coding Describes DASP techniques, their theoretical foundations, and their practical applications Discusses modern studio technology, digital transmission systems, storage media, and home entertainment audio components Features a new introductory chapter and extensively revised content throughout Provides updated application examples and computer-based activities supported with MATLAB exercises and interactive JavaScript applets via an author-hosted companion website Balancing essential concepts and technological topics, Digital Audio Signal Processing, Third Edition remains the ideal textbook for advanced music technology and engineering students in audio signal processing courses. It is also an invaluable reference for audio engineers, hardware and software developers, and researchers in both academia and industry.

Audio Source Separation and Speech Enhancement

Author : Emmanuel Vincent
Publisher : John Wiley & Sons
ISBN 13 : 1119279917
Total Pages : 504 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Audio Source Separation and Speech Enhancement by : Emmanuel Vincent

Download or read book Audio Source Separation and Speech Enhancement written by Emmanuel Vincent and published by John Wiley & Sons. This book was released on 2018-07-24 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the technology behind hearing aids, Siri, and Echo Audio source separation and speech enhancement aim to extract one or more source signals of interest from an audio recording involving several sound sources. These technologies are among the most studied in audio signal processing today and bear a critical role in the success of hearing aids, hands-free phones, voice command and other noise-robust audio analysis systems, and music post-production software. Research on this topic has followed three convergent paths, starting with sensor array processing, computational auditory scene analysis, and machine learning based approaches such as independent component analysis, respectively. This book is the first one to provide a comprehensive overview by presenting the common foundations and the differences between these techniques in a unified setting. Key features: Consolidated perspective on audio source separation and speech enhancement. Both historical perspective and latest advances in the field, e.g. deep neural networks. Diverse disciplines: array processing, machine learning, and statistical signal processing. Covers the most important techniques for both single-channel and multichannel processing. This book provides both introductory and advanced material suitable for people with basic knowledge of signal processing and machine learning. Thanks to its comprehensiveness, it will help students select a promising research track, researchers leverage the acquired cross-domain knowledge to design improved techniques, and engineers and developers choose the right technology for their target application scenario. It will also be useful for practitioners from other fields (e.g., acoustics, multimedia, phonetics, and musicology) willing to exploit audio source separation or speech enhancement as pre-processing tools for their own needs.

Representations of Musical Signals

Author : Professor of Media Arts and Technology Curtis Roads
Publisher : Mit Press
ISBN 13 : 9780262041133
Total Pages : 478 pages
Book Rating : 4.0/5 (411 download)

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Book Synopsis Representations of Musical Signals by : Professor of Media Arts and Technology Curtis Roads

Download or read book Representations of Musical Signals written by Professor of Media Arts and Technology Curtis Roads and published by Mit Press. This book was released on 1991 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representations of Musical Signals describes a new generation of digital audio and computer music systems made possible by recent advances in digital signal processing theory, hardware design, and programming techniques. It explores new representations of musical signals that can have profound effects on the way musicians conceive of and realize musical ideas. In particular, the book focuses on models that combine time-domain and frequency-domain representations (grains, wavelets, and physical models), visual programming and advanced user interfaces, and that incorporate musical knowledge using artificial intelligence techniques and adaptive neural networks. The 14 contributions take up issues of how musical signals should be displayed to musicians, engineers, and scientists who want to work with them, how professionals can work with the representations to accomplish musical tasks, how systems can be designed to permit working with multiple views of the same signal, and how representations of musical signals should be organized to promote efficient communication between devices using these signals. Giovanni DePoli is a member of the faculty of the Department of Informatics and Electronics at the University of Padua. Aldo Piccialli is a member of the faculty of the Department of Physics at the University of Naples. Curtis Roads is a composer and consulting editor of Computer Music Journal. Contributors: J. M. Adrien. D. Arfib. R. D'Autilia. C. Cadoz. S. Cavaliere G. De Poli, G. Evangelista. J. Florens. G. Garnett. A. Grossman. F. Guerra. K. Hebei. R. KronlandMartinet. C. Lischka. A. Piccialli. J-C. Risset. C. Roads. C. Scaletti., J. Sundberg.

Audio Signal Processing and Coding

Author : Andreas Spanias
Publisher : John Wiley & Sons
ISBN 13 : 047004196X
Total Pages : 544 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Audio Signal Processing and Coding by : Andreas Spanias

Download or read book Audio Signal Processing and Coding written by Andreas Spanias and published by John Wiley & Sons. This book was released on 2006-09-11 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth treatment of algorithms and standards for perceptual coding of high-fidelity audio, this self-contained reference surveys and addresses all aspects of the field. Coverage includes signal processing and perceptual (psychoacoustic) fundamentals, details on relevant research and signal models, details on standardization and applications, and details on performance measures and perceptual measurement systems. It includes a comprehensive bibliography with over 600 references, computer exercises, and MATLAB-based projects for use in EE multimedia, computer science, and DSP courses. An ftp site containing supplementary material such as wave files, MATLAB programs and workspaces for the students to solve some of the numerical problems and computer exercises in the book can be found at ftp://ftp.wiley.com/public/sci_tech_med/audio_signal

Sound Reproduction

Author : Floyd E. Toole
Publisher : Routledge
ISBN 13 : 1317415094
Total Pages : 956 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Sound Reproduction by : Floyd E. Toole

Download or read book Sound Reproduction written by Floyd E. Toole and published by Routledge. This book was released on 2017-07-28 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sound Reproduction: The Acoustics and Psychoacoustics of Loudspeakers and Rooms, Third Edition explains the physical and perceptual processes that are involved in sound reproduction and demonstrates how to use the processes to create high-quality listening experiences in stereo and multichannel formats. Understanding the principles of sound production is necessary to achieve the goals of sound reproduction in spaces ranging from recording control rooms and home listening rooms to large cinemas. This revision brings new science-based perspectives on the performance of loudspeakers, room acoustics, measurements and equalization, all of which need to be appropriately used to ensure the accurate delivery of music and movie sound tracks from creators to listeners. The robust website (www.routledge.com/cw/toole) is the perfect companion to this necessary resource.

Time-Frequency Signal Analysis with Applications

Author : Ljubisa Stankovic
Publisher : Artech House
ISBN 13 : 1608076520
Total Pages : 673 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Time-Frequency Signal Analysis with Applications by : Ljubisa Stankovic

Download or read book Time-Frequency Signal Analysis with Applications written by Ljubisa Stankovic and published by Artech House. This book was released on 2014-05-10 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The culmination of more than twenty years of research, this authoritative resource provides you with a practical understanding of time-frequency signal analysis. The book offers in-depth coverage of critical concepts and principles, along with discussions on key applications in a wide range of signal processing areas, from communications and optics... to radar and biomedicine. Supported with over 140 illustrations and more than 1,700 equations, this detailed reference explores the topics you need to understand for your work in the field, such as Fourier analysis, linear time frequency representations, quadratic time-frequency distributions, higher order time-frequency representations, and analysis of non-stationary noisy signals. This unique book also serves as an excellent text for courses in this area, featuring numerous examples and problems at the end of each chapter. "