Capitolul 1: Bancuri de filtre
Capitolul 1: Bancuri de filtre
Capitolul 1: Bancuri de filtre
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PAS cap. 1: <strong>Bancuri</strong> <strong>de</strong> <strong>filtre</strong> – p. 6/75<br />
Demonstraţie (2)<br />
• Termenul drept din (1) poate fi scris<br />
1<br />
M<br />
M−1<br />
∑<br />
l=0<br />
X<br />
( )<br />
z 1/M wM<br />
l<br />
= 1 M<br />
= 1 M<br />
(2)<br />
=<br />
n←Mn<br />
=<br />
∞∑<br />
M−1<br />
∑<br />
l=0<br />
n=−∞<br />
∞∑<br />
n=−∞<br />
= Y (z)<br />
∞∑<br />
n=−∞<br />
∞∑<br />
n=−∞<br />
x[n]<br />
M−1<br />
∑<br />
x[n]z −n/M<br />
( ) −n<br />
z 1/M wM<br />
l<br />
l=0<br />
w −ln<br />
M<br />
x[n]z −n/M δ[n mod M]<br />
x[Mn]z −n
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