Download e-book for kindle: Signal Detection and Estimation by Mourad Barkat

By Mourad Barkat

ISBN-10: 1580530702

ISBN-13: 9781580530705

ISBN-10: 1580531016

ISBN-13: 9781580531016

This newly revised version of a vintage Artech condo e-book offers a finished and present figuring out of sign detection and estimation. that includes a wealth of latest and extended fabric, the second one variation introduces the techniques of adaptive CFAR detection and dispensed CA-CFAR detection. The booklet offers entire reasons of the maths had to totally grasp the cloth, together with chance conception, distributions, and random tactics.

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Sample text

M, respectively. 17. Note that we wrote 1 in parentheses to indicate that it represents a volume and not a height. Based on the following properties of the two-dimensional impulse function: ∞ 1. 17 Two-dimensional impulse function. x Probability Concepts 37 ∞ ∫ g (x, y ) A δ( x − x 0 ) δ( y − y 0 ) dx = A g (x 0 , y ) δ( y − y 0 ) 2. −∞ ∞ 3. 101) f X (x i ) = since n m ∑ P ( xi , y j ) = P( xi ) . 106) where u ( x − x i ) is the unit step function, such that u ( x − x i ) is one for x ≥ xi and zero otherwise.

It is also known as the second order moment. 113) and where mx is the mean of the random variable X, and my is the mean of the random variable Y. 114) −∞ −∞ When k = 2 and λ = 0 , or when k = 0 and λ = 2 , we obtain the specific variances σ 2x and σ 2y of the random variables X and Y, respectively. 116) and When X and Y are not independent, we often try to determine the “degree of relation” between X and Y by some meaningful parameter. 117) Probability Concepts 43 where ρ xy is the correlation coefficient between X and Y, m x is the mean of X, m y is the mean of Y, and σ x and σ y are the standard deviations of X and Y, respectively.

19 Boundaries of f XY (x, y ) .

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Signal Detection and Estimation by Mourad Barkat

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