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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. 11/75<br />

Interpolare<br />

• Interpolatorul cu factorul M introduce M − 1 zerouri între<br />

fiecare două eşantioane ale semnalului <strong>de</strong> intrare<br />

y[n] =<br />

{<br />

x[n/M], dacă n mod M = 0<br />

0, altfel<br />

• Notaţie uzuală<br />

x[n]<br />

✗✔y[n]<br />

✲ ↑M<br />

✖✕<br />

✲<br />

• Relaţia între transformatele Z ale intrării şi ieşirii este<br />

Y (z) <strong>de</strong>f =<br />

∞∑<br />

n=−∞<br />

y[n]z −n =<br />

∞∑<br />

k=−∞<br />

x[k]z −Mk = X(z M )

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