Adaptive Signal Processing: Theory and Applications by Thomas S. Alexander PDF

By Thomas S. Alexander

ISBN-10: 1461249783

ISBN-13: 9781461249788

ISBN-10: 1461293820

ISBN-13: 9781461293828

The production of the textual content relatively started in 1976 with the writer being concerned with a gaggle of researchers at Stanford college and the Naval Ocean platforms middle, San Diego. at the moment, adaptive concepts have been extra laboratory (and psychological) curiosities than the approved and pervasive different types of sign processing that they've develop into. Over the lasl 10 years, adaptive filters became regular elements in telephony, facts communications, and sign detection and monitoring platforms. Their use and patron recognition will absolutely purely bring up sooner or later. The mathematical ideas underlying adaptive sign processing have been at first interesting and have been my first adventure in seeing utilized arithmetic paintings for a paycheck. due to the fact that point, the applying of much more complicated mathematical ideas have saved the world of adaptive sign processing as intriguing as these preliminary days. The textual content seeks to be a bridge among the open literature within the specialist journals, that's frequently fairly centred, concise, and complicated, and the graduate school room and study surroundings the place underlying ideas are frequently extra important.

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561 - 580, April 1975. 11. M. L. Marple, "Spectrum Analysis- A Modern Perspective," Proceeding of the IEEE, vol. 69, pp. 1380- 1419, November 1981. 12. 1. Makhoul, "Stable and Efficient Lattice Methods for Linear Prediction,~ IEEE Trans. , Speech, and Signal Processing, vol. ASSP-25, pp. 423- 428, October 1977. 13. T. Alexander, "A Simple Noniterative Speech Excitation Algorithm Using LPC Residual," I EEE Trans. , Speech, and Signal Processing, vol. ASSP-33, pp. 432- 434, April 1985. 14. T. K. Hurd, Basic Electromagnetic Theor y, McGraw-Hill, New York, 1969.

Steepest descent, as well as other computational methods for solving linear algebraic equations, is also developed in the computationally oriented text by Faddeev and Faddeeva [4). Perhaps the greatest utility of the method of steepest descent is in the prediction of stochastic time series. A classical work in this area is the original paper by Robbins and Munro [5]; which addresses stochastic approximation. Many of the gain-normalized adaptive signal processing algorithms may be considered as variants of the Robbins~ Munro method.

8). •• - W(P - l ),-(P-I) (339) p-I·· . 9). Define this FPE filter as the vector g~_I ' where f gp_1 -- [I ,-WI(,-1) ,-w(p-I) , ••• , 2 . Ip- I)]' -W,_I . 10) For example, in forming the prediction x(n) the "I" coefficient in g'_1 multiplies x(n), "_W~P - I)" multiplies x(n - I), and so on, until the last coefficient ~ - W~:-II)~ multiplies x {n - p + 1). 3. 11 ) . _1 The name backward filter is now appropriate, since the inner product of with the p length vector of data [ x (n), x(n - 1), ... , x (n - p + I)F is given by x(n - p + 1) - w\P- l)x(n - p + 2) - ...

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Adaptive Signal Processing: Theory and Applications by Thomas S. Alexander

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