Download PDF by R. Freeman [low-qual]: Telecommunications Transmission Handbook

By R. Freeman [low-qual]

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46) As a result, the beampattern of the N th-order hypercardioid is B N ,Hd (cos θ) = 1T H−1 N p (cos θ) 1T H−1 N 1 . 21). 5 Examples of Theoretical Differential Beamformers 23 with i, j = 0, 1, . . , N . Let us denote by a N ,max the eigenvector corresponding to the maximum eigenvalue of H N−1 H N . Then, a N ,max maximizes the FBR and the beampattern of the N th-order supercardioid is B N ,Sd (cos θ) = a NT,max p (cos θ) a NT,max p (1) . 51) The most well-known first-order directivity patterns are expressed as B1,Dp (cos θ) = cos θ, 1 1 B1,Cd (cos θ) = + cos θ, 2 2 1 3 B1,Hd (cos θ) = + cos θ, 4 √ √ 4 3−1 3− 3 B1,Sd (cos θ) = + cos θ.

Benesty J, Chen J (2012) Study and design of differential microphone arrays. Springer, Berlin 6. Chen J, Benesty J, Pan C (2014) On the design and implementation of linear differential microphone arrays. J Acoust Soc Am 136:3097–3113 7. Marshall RN, Harry WR (1941) A new microphone providing uniform directivity over an extended frequency range. J Acoust Soc Am 12:481–497 8. Uzkov AI (1946) An approach to the problem of optimum directive antenna design. Comptes Rendus (Doklady) de l’Academie des Sciences de l’URSS, vol LIII no 1, pp 35–38 Chapter 3 Some Background In this chapter, we present in a very concise way some fundamental aspects of linear spaces, orthogonal functions, and orthogonal polynomials.

Marshall RN, Harry WR (1941) A new microphone providing uniform directivity over an extended frequency range. J Acoust Soc Am 12:481–497 8. Uzkov AI (1946) An approach to the problem of optimum directive antenna design. Comptes Rendus (Doklady) de l’Academie des Sciences de l’URSS, vol LIII no 1, pp 35–38 Chapter 3 Some Background In this chapter, we present in a very concise way some fundamental aspects of linear spaces, orthogonal functions, and orthogonal polynomials. Three family of orthogonal polynomials (Legendre, Chebyshev, and Jacobi), of great importance to us, are discussed.

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Telecommunications Transmission Handbook by R. Freeman [low-qual]


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