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Download PDF by Mingsian R. Bai, Jeong?Guon Ih, Jacob Benesty(auth.): Acoustic Array Systems: Theory, Implementation, and

By Mingsian R. Bai, Jeong?Guon Ih, Jacob Benesty(auth.)

Content material:
Chapter 1 advent (pages 1–7):
Chapter 2 Theoretical Preliminaries of Acoustics (pages 9–32):
Chapter three Theoretical Preliminaries of Array sign Processing (pages 33–94):
Chapter four Farfield Array sign Processing Algorithms (pages 95–150):
Chapter five Nearfield Array sign Processing Algorithms (pages 151–209):
Chapter 6 sensible Implementation (pages 211–285):
Chapter 7 Time?Domain MVDR Array clear out for Speech Enhancement (pages 287–314):
Chapter eight Frequency?Domain Array Beamformers for Noise aid (pages 315–344):
Chapter nine program Examples (pages 345–477):
Chapter 10 Concluding comments and destiny views (pages 479–499):

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Extra info for Acoustic Array Systems: Theory, Implementation, and Application

Sample text

3b is cn ðxÞ ¼ H nð1Þ;ð2Þ ðkr rÞeÀjnu eÀjkz z ; ð2:50Þ where k2r þ k2z ¼ k2 , H nð1Þ;ð2Þ is the Hankel function of the first/second kind of order n with a parameter kr. 3 Three basic coordinate systems. (a) Cartesian coordinates, (b) cylindrical coordinates, (c) spherical coordinates 3. 3c, the eigenfunction of spherical coordinates is cn ðxÞ ¼ H nð1Þ;ð2Þ ðkrÞY m n ðu; fÞ; ð2:51Þ where H nð1Þ;ð2Þ ðkrÞ is the spherical Hankel function of the first/second kind of order n with a parameter k. 3 Sound Field Representation Using Helmholtz Integral Equation In this section, a very useful mathematical tool for solving inhomogeneous boundary value problems of sound fields is reviewed – the Green’s function.

3b is cn ðxÞ ¼ H nð1Þ;ð2Þ ðkr rÞeÀjnu eÀjkz z ; ð2:50Þ where k2r þ k2z ¼ k2 , H nð1Þ;ð2Þ is the Hankel function of the first/second kind of order n with a parameter kr. 3 Three basic coordinate systems. (a) Cartesian coordinates, (b) cylindrical coordinates, (c) spherical coordinates 3. 3c, the eigenfunction of spherical coordinates is cn ðxÞ ¼ H nð1Þ;ð2Þ ðkrÞY m n ðu; fÞ; ð2:51Þ where H nð1Þ;ð2Þ ðkrÞ is the spherical Hankel function of the first/second kind of order n with a parameter k. 3 Sound Field Representation Using Helmholtz Integral Equation In this section, a very useful mathematical tool for solving inhomogeneous boundary value problems of sound fields is reviewed – the Green’s function.

Column space: RðGÞ ¼ fp 2 C m jGq ¼ p; 8q 2 C n g Nullspace: NðGÞ ¼ fq 2 C n jGq ¼ 0g Row space: RðGH Þ ¼ fp 2 C n jGH q ¼ p; 8q 2 C m g Left null space: NðGH Þ ¼ fq 2 C m jGH q ¼ 0g In the definitions above, superscript H indicates Hermitian transpose, superscript. It can be shown that dim RðGÞ ¼ dim RðGH Þ ¼ rankðGÞ ¼ r dim NðGÞ ¼ n À r; NðGÞ dim NðGH Þ ¼ m À r ¼ RðGH Þ? and ð3:5Þ NðGH Þ ¼ RðGÞ? : In the relations above, “dim” denotes dimension defined as the maximum number of linearly independent vectors that can be found in the vector space, and the superscript ?

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