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Capitolul 1: Semnale

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Densitate de putere spectrală<br />

• Un semnal x[n] care este realizarea unui proces aleator are<br />

energie infinită<br />

• Deci, nu putem calcula densitatea de energie spectrală<br />

|X(ω)| 2<br />

• Densitatea de putere spectrală este transformata Fourier a<br />

sevenţei de autocorelaţii<br />

P(ω) =<br />

∞∑<br />

k=−∞<br />

r[k]e −jωk .<br />

• Definiţie echivalentă ("putere = energie/timp")<br />

⎧<br />

⎨<br />

P(ω) = lim E 1<br />

N→∞ ⎩2N + 1<br />

∣<br />

N∑<br />

n=−N<br />

x[n]e −jωn ∣ ∣∣∣∣<br />

2 ⎫ ⎬<br />

⎭ . PS cap. 1: <strong>Semnale</strong> – p. 42/43

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