TEST BANK FOR Adaptive Filter Theory 4th Edition By Simon Haykin
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Exam (elaborations) TEST BANK FOR Adaptive Filter Theory 4th Edition By Simon Haykin (Solution manual only)
- Exam (elaborations) • 339 pages • 2021
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1.1 Let 
(1) 
(2) 
We are given that 
(3) 
Hence, substituting Eq. (3) into (2), and then using Eq. (1), we get 
1.2 We know that the correlation matrix R is Hermitian; that is 
Given that the inverse matrix R-1 exists, we may write 
where I is the identity matrix. Taking the Hermitian transpose of both sides: 
Hence, 
That is, the inverse matrix R-1 is Hermitian. 
1.3 For the case of a two-by-two matrix, we may 
ru(k) = E[u(n)u*(n – k)] 
ry(k) = E[y(n)y*(n – k)] 
y(n) = u(n + a) – u(n –...
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