Capitolul 1: Bancuri de filtre
Capitolul 1: Bancuri de filtre
Capitolul 1: Bancuri de filtre
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
PAS cap. 1: <strong>Bancuri</strong> <strong>de</strong> <strong>filtre</strong> – p. 38/75<br />
BFO—reprezentarea latice<br />
• Se poate <strong>de</strong>monstra că orice matrice FIR lossless se poate<br />
<strong>de</strong>scompune astfel<br />
A(z) = GÑ+1 ∆(z)GÑ ...G 2 ∆(z)G 1<br />
cu<br />
G k =<br />
[<br />
]<br />
c k −s k<br />
, ∆(z) =<br />
s k c k<br />
[<br />
]<br />
1 0<br />
0 z −1<br />
• Matricele G k sunt rotaţii Givens (c 2 k + s2 k<br />
ortogonale<br />
• Matricea ∆(z) e lossless<br />
= 1), <strong>de</strong>ci matrice
Change language