Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons.

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Presentation transcript:

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. Acoustic Array Systems: Theory, Implementation and Application Chapter 2. Theoretical Preliminaries of Acoustics 2.1 Fundamentals of Acoustics 2.2 Sound Field Representation Using Basis Function Expansion 2.3 Sound Field Representation Using Helmholtz Integral Equation 2.4 Inverse Problems and Ill- posedness 1

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 2.1 Fundamentals of Acoustics 2

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 3

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 4

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 2.2 Sound Field Representation Using Basis Function Expansion 5

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 6

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 2.3 Sound Field Representation Using Helmholtz Integral Equation 7

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 8

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 9

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 10

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 11

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 12

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 13

Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons Singapore Pte. Ltd. Published 2013 by John Wiley & Sons Singapore Pte. Ltd. 14