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15.5 Inverzna Laplaceova <strong>in</strong> z -transformacija 31<br />

Tabela 15.1<br />

Pomembnejši Laplaceovi pari.<br />

oblika x(t) X(s) E poli <strong>in</strong> ničle<br />

δ(t) 1 pri vseh s<br />

u(t)<br />

−u(−t)<br />

e −at u(t)<br />

− e −at u(−t)<br />

1<br />

s<br />

1<br />

s<br />

1<br />

s + a<br />

1<br />

s + a<br />

R(s) > 0<br />

R(s) < 0<br />

R(s) > −R(a)<br />

R(s) < −R(a)<br />

tu(t)<br />

−tu(−t)<br />

t k u(t)<br />

t e −at u(t)<br />

−t e −at u(−t)<br />

1<br />

s 2 R(s) > 0<br />

1<br />

s 2 R(s) < 0<br />

k!<br />

s k+1 R(s) > 0<br />

1<br />

(s + a) 2 R(s) > −R(a)<br />

1<br />

(s + a) 2 R(s) < −R(a)<br />

cosω 0 t u(t)<br />

s<br />

s 2 + ω 2 0<br />

R(s) > 0<br />

s<strong>in</strong>ω 0 t u(t)<br />

ω 0<br />

s 2 + ω 2 0<br />

R(s) > 0<br />

tabela se nadaljuje na naslednji strani<br />

datoteka: signal_C

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