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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, Implementatio n and Application Chapter 3. Theoretical Preliminaries of Array Signal 1

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Page 1: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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 3. Theoretical Preliminaries of Array Signal Processing

3.1 Linear Algebra Basics

3.2 Digital Signal Processing Basics

3.3 Array Signal Processing Basics

3.4 Optimization Algorithms

3.5 Inverse Filtering from a Model Matching Perspective

3.6 Parameter Estimation Theory

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Page 2: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

3.1 Linear Algebra Basics

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

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.

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

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.

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Page 5: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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

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.

3.2 Digital Signal Processing Basics

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Page 7: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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

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.

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

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.

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

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.

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

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.

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

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.

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

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.

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

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.

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Page 15: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 16: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 17: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 18: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 19: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

3.3 Array Signal Processing Basics

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Page 20: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 21: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 22: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 23: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 24: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

3.4 Optimization Algorithms

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Page 25: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 26: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 27: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 28: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 29: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 30: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 31: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

3.5 Inverse Filtering from a Model Matching Perspective

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Page 32: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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Page 33: Acoustic Array Systems: Theory, Implementation and Application, First Edition. Mingsian R. Bai, Jeong-Guan Ih and Jacob Benesty. c 2013 John Wiley & Sons

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.

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