Acoustic Field Analysis In Small Microphone Arrays

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Acoustic Field Analysis in Small Microphone Arrays

Author : Roman Scharrer
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832534539
Total Pages : 156 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Acoustic Field Analysis in Small Microphone Arrays by : Roman Scharrer

Download or read book Acoustic Field Analysis in Small Microphone Arrays written by Roman Scharrer and published by Logos Verlag Berlin GmbH. This book was released on 2013 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the possibilities of an acoustic field analysis in small microphone arrays are investigated. With the increased use of mobile communication devices, such as smartphones and hearing aids, and the increase in the number of microphones in such devices, multi-channel signal processing has gained popularity. Apart from the definite signal processing, this thesis evaluates what information on the acoustic sound field and environment can be gained from the signal of such small microphone arrays. For this purpose, an innovative sound field classification was developed that determines the energies of the single sound field components. The method is based on spatial coherences of two or more acoustical. The method was successfully verified with a set of simulated and measured input signals. An adaptive automatic sensor mismatch compensation was created, which proved able to fully compensate any slow sensor drift after an initial training. Further, a new method for the blind estimation of the reverberation time based on the dependency of the coherence estimate on the evaluation parameters was proposed. The method determines the reverberation time of a room from the spatial coherence between two or more acoustic sensors.

Theory and Applications of Spherical Microphone Array Processing

Author : Daniel P. Jarrett
Publisher : Springer
ISBN 13 : 3319422111
Total Pages : 187 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Theory and Applications of Spherical Microphone Array Processing by : Daniel P. Jarrett

Download or read book Theory and Applications of Spherical Microphone Array Processing written by Daniel P. Jarrett and published by Springer. This book was released on 2016-08-26 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the signal processing algorithms that have been developed to process the signals acquired by a spherical microphone array. Spherical microphone arrays can be used to capture the sound field in three dimensions and have received significant interest from researchers and audio engineers. Algorithms for spherical array processing are different to corresponding algorithms already known in the literature of linear and planar arrays because the spherical geometry can be exploited to great beneficial effect. The authors aim to advance the field of spherical array processing by helping those new to the field to study it efficiently and from a single source, as well as by offering a way for more experienced researchers and engineers to consolidate their understanding, adding either or both of breadth and depth. The level of the presentation corresponds to graduate studies at MSc and PhD level. This book begins with a presentation of some of the essential mathematical and physical theory relevant to spherical microphone arrays, and of an acoustic impulse response simulation method, which can be used to comprehensively evaluate spherical array processing algorithms in reverberant environments. The chapter on acoustic parameter estimation describes the way in which useful descriptions of acoustic scenes can be parameterized, and the signal processing algorithms that can be used to estimate the parameter values using spherical microphone arrays. Subsequent chapters exploit these parameters including in particular measures of direction-of-arrival and of diffuseness of a sound field. The array processing algorithms are then classified into two main classes, each described in a separate chapter. These are signal-dependent and signal-independent beamforming algorithms. Although signal-dependent beamforming algorithms are in theory able to provide better performance compared to the signal-independent algorithms, they are currently rarely used in practice. The main reason for this is that the statistical information required by these algorithms is difficult to estimate. In a subsequent chapter it is shown how the estimated acoustic parameters can be used in the design of signal-dependent beamforming algorithms. This final step closes, at least in part, the gap between theory and practice.

Anthropometric Individualization of Head-Related Transfer Functions Analysis and Modeling

Author : Ramona Bomhardt
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832545433
Total Pages : 162 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Anthropometric Individualization of Head-Related Transfer Functions Analysis and Modeling by : Ramona Bomhardt

Download or read book Anthropometric Individualization of Head-Related Transfer Functions Analysis and Modeling written by Ramona Bomhardt and published by Logos Verlag Berlin GmbH. This book was released on 2017-09-04 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human sound localization helps to pay attention to spatially separated speakers using interaural level and time differences as well as angle-dependent monaural spectral cues. In a monophonic teleconference, for instance, it is much more difficult to distinguish between different speakers due to missing binaural cues. Spatial positioning of the speakers by means of binaural reproduction methods using head-related transfer functions (HRTFs) enhances speech comprehension. These HRTFs are influenced by the torso, head and ear geometry as they describe the propagation path of the sound from a source to the ear canal entrance. Through this geometry-dependency, the HRTF is directional and subject-dependent. To enable a sufficient reproduction, individual HRTFs should be used. However, it is tremendously difficult to measure these HRTFs. For this reason this thesis proposes approaches to adapt the HRTFs applying individual anthropometric dimensions of a user. Since localization at low frequencies is mainly influenced by the interaural time difference, two models to adapt this difference are developed and compared with existing models. Furthermore, two approaches to adapt the spectral cues at higher frequencies are studied, improved and compared. Although the localization performance with individualized HRTFs is slightly worse than with individual HRTFs, it is nevertheless still better than with non-individual HRTFs, taking into account the measurement effort.

Microphone Arrays

Author : Michael Brandstein
Publisher : Springer Science & Business Media
ISBN 13 : 3662046199
Total Pages : 401 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Microphone Arrays by : Michael Brandstein

Download or read book Microphone Arrays written by Michael Brandstein and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to provide a single complete reference on microphone arrays. Top researchers in this field contributed articles documenting the current state of the art in microphone array research, development and technological application.

Modeling the Radiation of Modern Sound Reinforcement Systems in High Resolution

Author : Stefan Feistel
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832537104
Total Pages : 224 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Modeling the Radiation of Modern Sound Reinforcement Systems in High Resolution by : Stefan Feistel

Download or read book Modeling the Radiation of Modern Sound Reinforcement Systems in High Resolution written by Stefan Feistel and published by Logos Verlag Berlin GmbH. This book was released on 2014 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from physical theory, this work develops a novel framework for the acoustic simulation of sound radiation by loudspeakers and sound reinforcement systems. First, a theoretical foundation is derived for the accurate description of simple and multi-way loudspeakers using an advanced point-source ''CDPS'' model that incorporates phase data. The model's practical implementation is presented including measurement requirements and the GLL loudspeaker data format specification. In the second part, larger systems are analyzed such as line arrays where the receiver may be located in the near field of the source. It is shown that any extended line source can be modeled accurately after decomposition into smaller CDPS elements. The influence of production variation among elements of an array is investigated and shown to be small. The last part of this work deals with the consequences of fluctuating environmental conditions such as wind and temperature on the coherence of sound signals from multiple sources. A new theoretical model is developed that allows predicting the smooth transition from amplitude to power summation as a function of the statistical properties of the environmental parameters. A part of this work was distinguished with the AES Publications Award 2010. Parts of the proposed data format have been incorporated into the international AES56 standard.

Acoustic Array Systems

Author : Mingsian R. Bai
Publisher : John Wiley & Sons
ISBN 13 : 0470828374
Total Pages : 546 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Acoustic Array Systems by : Mingsian R. Bai

Download or read book Acoustic Array Systems written by Mingsian R. Bai and published by John Wiley & Sons. This book was released on 2013-03-07 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified framework of far-field and near-field array techniques for noise source identification and sound field visualization, from theory to application. Acoustic Array Systems: Theory, Implementation, and Application provides an overview of microphone array technology with applications in noise source identification and sound field visualization. In the comprehensive treatment of microphone arrays, the topics covered include an introduction to the theory, far-field and near-field array signal processing algorithms, practical implementations, and common applications: vehicles, computing and communications equipment, compressors, fans, and household appliances, and hands-free speech. The author concludes with other emerging techniques and innovative algorithms. Encompasses theoretical background, implementation considerations and application know-how Shows how to tackle broader problems in signal processing, control, and transudcers Covers both farfield and nearfield techniques in a balanced way Introduces innovative algorithms including equivalent source imaging (NESI) and high-resolution nearfield arrays Selected code examples available for download for readers to practice on their own Presentation slides available for instructor use A valuable resource for Postgraduates and researchers in acoustics, noise control engineering, audio engineering, and signal processing.

Structure-borne Sound Sources in Buildings

Author : Matthias Lievens
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832534644
Total Pages : 114 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Structure-borne Sound Sources in Buildings by : Matthias Lievens

Download or read book Structure-borne Sound Sources in Buildings written by Matthias Lievens and published by Logos Verlag Berlin GmbH. This book was released on 2013 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structure-borne sound sources are vibrational sources connected in some way to the building structure. The mechanical excitation of the building structure leads to sound radiation. This is an important source of annoyance in modern light-weight buildings. The prediction of the sound pressure level from structure-borne sound sources is highly complicated because of the complexity involved in the coupling between source and receiver structure. The current standard on characterisation of service equipment in buildings EN 12354-5, can deal with sources on heavy structures (high-mobility source) but to date, there is no engineering method available for the case of coupling between source and receiver. A case study of a washing machine on a wooden joist floor is investigated in this thesis. In the first part, measurements in the coupled state are conducted. It is shown that the normal components are sufficient to predict the sound pressure level. However, this only applies to the coupled state. In the second part, a true prediction is calculated from independently measured source and receiver quantities. The difference between predicted and directly measured sound pressure level leads to considerable errors of up to 20 dB at low frequencies. This shows that the normal components are not sufficient to predict the coupling between a washing machine and a wooden floor.

Microphone Arrays

Author : Jacob Benesty
Publisher : Springer Nature
ISBN 13 : 3031369742
Total Pages : 232 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Microphone Arrays by : Jacob Benesty

Download or read book Microphone Arrays written by Jacob Benesty and published by Springer Nature. This book was released on 2023-08-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the motivation for using microphone arrays as opposed to using a single sensor for sound acquisition. The book then goes on to summarize the most useful ideas, concepts, results, and new algorithms therein. The material presented in this work includes analysis of the advantages of using microphone arrays, including dimensionality reduction to remove the redundancy while preserving the variability of the array signals using the principal component analysis (PCA). The authors also discuss benefits such as beamforming with low-rank approximations, fixed, adaptive, and robust distortionless beamforming, differential beamforming, and a new form of binaural beamforming that takes advantage of both beamforming and human binaural hearing properties to improve speech intelligibility. The book makes the microphone array signal processing theory and applications available in a complete and self-contained text. The authors attempt to explain the main ideas in a clear and rigorous way so that the reader can easily capture the potentials, opportunities, challenges, and limitations of microphone array signal processing. This book is written for those who work on the topics of microphone arrays, noise reduction, speech enhancement, speech communication, and human-machine speech interfaces.

Microphone Array Signal Processing

Author : Jacob Benesty
Publisher : Springer Science & Business Media
ISBN 13 : 3540786120
Total Pages : 245 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Microphone Array Signal Processing by : Jacob Benesty

Download or read book Microphone Array Signal Processing written by Jacob Benesty and published by Springer Science & Business Media. This book was released on 2008-03-11 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years we have written and edited several books in the area of acousticandspeechsignalprocessing. Thereasonbehindthisendeavoristhat there were almost no books available in the literature when we ?rst started while there was (and still is) a real need to publish manuscripts summarizing the most useful ideas, concepts, results, and state-of-the-art algorithms in this important area of research. According to all the feedback we have received so far, we can say that we were right in doing this. Recently, several other researchers have followed us in this journey and have published interesting books with their own visions and perspectives. The idea of writing a book on Microphone Array Signal Processing comes from discussions we have had with many colleagues and friends. As a c- sequence of these discussions, we came up with the conclusion that, again, there is an urgent need for a monograph that carefully explains the theory and implementation of microphone arrays. While there are many manuscripts on antenna arrays from a narrowband perspective (narrowband signals and narrowband processing), the literature is quite scarce when it comes to s- sor arrays explained from a truly broadband perspective. Many algorithms for speech applications were simply borrowed from narrowband antenna - rays. However, a direct application of narrowband ideas to broadband speech processing may not be necessarily appropriate and can lead to many m- understandings.

Study and Design of Differential Microphone Arrays

Author : Jacob Benesty
Publisher : Springer Science & Business Media
ISBN 13 : 364233752X
Total Pages : 184 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Study and Design of Differential Microphone Arrays by : Jacob Benesty

Download or read book Study and Design of Differential Microphone Arrays written by Jacob Benesty and published by Springer Science & Business Media. This book was released on 2012-10-23 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microphone arrays have attracted a lot of interest over the last few decades since they have the potential to solve many important problems such as noise reduction/speech enhancement, source separation, dereverberation, spatial sound recording, and source localization/tracking, to name a few. However, the design and implementation of microphone arrays with beamforming algorithms is not a trivial task when it comes to processing broadband signals such as speech. Indeed, in most sensor arrangements, the beamformer output tends to have a frequency-dependent response. One exception, perhaps, is the family of differential microphone arrays (DMAs) who have the promise to form frequency-independent responses. Moreover, they have the potential to attain high directional gains with small and compact apertures. As a result, this type of microphone arrays has drawn much research and development attention recently. This book is intended to provide a systematic study of DMAs from a signal processing perspective. The primary objective is to develop a rigorous but yet simple theory for the design, implementation, and performance analysis of DMAs. The theory includes some signal processing techniques for the design of commonly used first-order, second-order, third-order, and also the general Nth-order DMAs. For each order, particular examples are given on how to form standard directional patterns such as the dipole, cardioid, supercardioid, hypercardioid, subcardioid, and quadrupole. The study demonstrates the performance of the different order DMAs in terms of beampattern, directivity factor, white noise gain, and gain for point sources. The inherent relationship between differential processing and adaptive beamforming is discussed, which provides a better understanding of DMAs and why they can achieve high directional gain. Finally, we show how to design DMAs that can be robust against white noise amplification.

Acoustic Signal Processing for Telecommunication

Author : Steven L. Gay
Publisher : Springer Science & Business Media
ISBN 13 : 1441986448
Total Pages : 338 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Acoustic Signal Processing for Telecommunication by : Steven L. Gay

Download or read book Acoustic Signal Processing for Telecommunication written by Steven L. Gay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 158 2. Wiener Filtering 159 3. Speech Enhancement by Short-Time Spectral Modification 3. 1 Short-Time Fourier Analysis and Synthesis 159 160 3. 2 Short-Time Wiener Filter 161 3. 3 Power Subtraction 3. 4 Magnitude Subtraction 162 3. 5 Parametric Wiener Filtering 163 164 3. 6 Review and Discussion Averaging Techniques for Envelope Estimation 169 4. 169 4. 1 Moving Average 170 4. 2 Single-Pole Recursion 170 4. 3 Two-Sided Single-Pole Recursion 4. 4 Nonlinear Data Processing 171 5. Example Implementation 172 5. 1 Subband Filter Bank Architecture 172 173 5. 2 A-Posteriori-SNR Voice Activity Detector 5. 3 Example 175 6. Conclusion 175 Part IV Microphone Arrays 10 Superdirectional Microphone Arrays 181 Gary W. Elko 1. Introduction 181 2. Differential Microphone Arrays 182 3. Array Directional Gain 192 4. Optimal Arrays for Spherically Isotropic Fields 193 4. 1 Maximum Gain for Omnidirectional Microphones 193 4. 2 Maximum Directivity Index for Differential Microphones 195 4. 3 Maximimum Front-to-Back Ratio 197 4. 4 Minimum Peak Directional Response 200 4. 5 Beamwidth 201 5. Design Examples 201 5. 1 First-Order Designs 202 5. 2 Second-Order Designs 207 5. 3 Third-Order Designs 216 5. 4 Higher-Order designs 221 6. Optimal Arrays for Cylindrically Isotropic Fields 222 6. 1 Maximum Gain for Omnidirectional Microphones 222 6. 2 Optimal Weights for Maximum Directional Gain 224 6. 3 Solution for Optimal Weights for Maximum Front-to-Back Ratio for Cylindrical Noise 225 7. Sensitivity to Microphone Mismatch and Noise 230 8.

Springer Handbook of Systematic Musicology

Author : Rolf Bader
Publisher : Springer
ISBN 13 : 3662550040
Total Pages : 1089 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Springer Handbook of Systematic Musicology by : Rolf Bader

Download or read book Springer Handbook of Systematic Musicology written by Rolf Bader and published by Springer. This book was released on 2018-03-21 with total page 1089 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique reference book offers a holistic description of the multifaceted field of systematic musicology, which is the study of music, its production and perception, and its cultural, historical and philosophical background. The seven sections reflect the main topics in this interdisciplinary subject. The first two parts discuss musical acoustics and signal processing, comprehensively describing the mathematical and physical fundamentals of musical sound generation and propagation. The complex interplay of physiology and psychology involved in sound and music perception is covered in the following sections, with a particular focus on psychoacoustics and the recently evolved research on embodied music cognition. In addition, a huge variety of technical applications for professional training, music composition and consumer electronics are presented. A section on music ethnology completes this comprehensive handbook. Music theory and philosophy of music are imbedded throughout. Carefully edited and written by internationally respected experts, it is an invaluable reference resource for professionals and graduate students alike.

Pattern Recognition and Image Analysis

Author : Joao Miguel Sanches
Publisher : Springer
ISBN 13 : 3642386288
Total Pages : 919 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Pattern Recognition and Image Analysis by : Joao Miguel Sanches

Download or read book Pattern Recognition and Image Analysis written by Joao Miguel Sanches and published by Springer. This book was released on 2013-05-23 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th Iberian Conference on Pattern Recognition and Image Analysis, IbPRIA 2013, held in Funchal, Madeira, Portugal, in June 2013. The 105 papers (37 oral and 68 poster ones) presented were carefully reviewed and selected from 181 submissions. The papers are organized in topical sections on computer vision, pattern recognition, image and signal, applications.

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.

Audio Signal Processing for Next-Generation Multimedia Communication Systems

Author : Yiteng (Arden) Huang
Publisher : Springer Science & Business Media
ISBN 13 : 1402077696
Total Pages : 374 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Audio Signal Processing for Next-Generation Multimedia Communication Systems by : Yiteng (Arden) Huang

Download or read book Audio Signal Processing for Next-Generation Multimedia Communication Systems written by Yiteng (Arden) Huang and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Audio Signal Processing for Next-Generation Multimedia Communication Systems presents cutting-edge digital signal processing theory and implementation techniques for problems including speech acquisition and enhancement using microphone arrays, new adaptive filtering algorithms, multichannel acoustic echo cancellation, sound source tracking and separation, audio coding, and realistic sound stage reproduction. This book's focus is almost exclusively on the processing, transmission, and presentation of audio and acoustic signals in multimedia communications for telecollaboration where immersive acoustics will play a great role in the near future.

Aeroacoustic Measurements

Author : Thomas J. Mueller
Publisher : Springer Science & Business Media
ISBN 13 : 3662050587
Total Pages : 327 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Aeroacoustic Measurements by : Thomas J. Mueller

Download or read book Aeroacoustic Measurements written by Thomas J. Mueller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes recent developments in aeroacoustic measurements in wind tunnels and the interpretation of the resulting data. The reader will find the latest measurement techniques described along with examples of the results.

Study and Design of Differential Microphone Arrays

Author : Jacob Benesty
Publisher : Springer
ISBN 13 : 9783642337543
Total Pages : 184 pages
Book Rating : 4.3/5 (375 download)

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Book Synopsis Study and Design of Differential Microphone Arrays by : Jacob Benesty

Download or read book Study and Design of Differential Microphone Arrays written by Jacob Benesty and published by Springer. This book was released on 2012-10-23 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microphone arrays have attracted a lot of interest over the last few decades since they have the potential to solve many important problems such as noise reduction/speech enhancement, source separation, dereverberation, spatial sound recording, and source localization/tracking, to name a few. However, the design and implementation of microphone arrays with beamforming algorithms is not a trivial task when it comes to processing broadband signals such as speech. Indeed, in most sensor arrangements, the beamformer output tends to have a frequency-dependent response. One exception, perhaps, is the family of differential microphone arrays (DMAs) who have the promise to form frequency-independent responses. Moreover, they have the potential to attain high directional gains with small and compact apertures. As a result, this type of microphone arrays has drawn much research and development attention recently. This book is intended to provide a systematic study of DMAs from a signal processing perspective. The primary objective is to develop a rigorous but yet simple theory for the design, implementation, and performance analysis of DMAs. The theory includes some signal processing techniques for the design of commonly used first-order, second-order, third-order, and also the general Nth-order DMAs. For each order, particular examples are given on how to form standard directional patterns such as the dipole, cardioid, supercardioid, hypercardioid, subcardioid, and quadrupole. The study demonstrates the performance of the different order DMAs in terms of beampattern, directivity factor, white noise gain, and gain for point sources. The inherent relationship between differential processing and adaptive beamforming is discussed, which provides a better understanding of DMAs and why they can achieve high directional gain. Finally, we show how to design DMAs that can be robust against white noise amplification.