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Capitolul 1: Bancuri de filtre

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PAS cap. 1: <strong>Bancuri</strong> <strong>de</strong> <strong>filtre</strong> – p. 35/75<br />

BFO—matricea polifază <strong>de</strong> analiză<br />

• Punând H 1 (z) = H 10 (z 2 ) + z −1 H 11 (z 2 ), din (5) rezultă că<br />

(notăm Ñ = (N − 1)/2)<br />

H 10 (z) = z −ÑH 01 (z −1 ), H 11 (z) = −z −ÑH 00 (z −1 )<br />

• Matricea polifază <strong>de</strong> analiză are <strong>de</strong>ci forma<br />

[<br />

H 00 (z) H 01 (z)<br />

A(z) =<br />

z −ÑH 01 (z −1 ) −z −ÑH 00 (z −1 )<br />

]<br />

• Ţinând seama <strong>de</strong> (8) rezultă că<br />

A T (z −1 )A(z) = I<br />

• Matricea A(z) este paraunitară (<strong>de</strong>finiţie)

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