Determine the values of P x and Ex for each of the following signals: (a) x 1 (t) = e-

Chapter 1, Problem 1.3

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QUESTION:

Determine the values of P x and Ex for each of the following signals: (a) x 1 (t) = e- 21 u(t) (b) x2(t) = e.i(:21+1T/4J (c) x3(t) = cos(t) (d) x1[n] = (~)''u[n] (e) x2[n] = e.i(1TI2n+1TI'd) (f) x3[n] = cos(*n)

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QUESTION:

Determine the values of P x and Ex for each of the following signals: (a) x 1 (t) = e- 21 u(t) (b) x2(t) = e.i(:21+1T/4J (c) x3(t) = cos(t) (d) x1[n] = (~)''u[n] (e) x2[n] = e.i(1TI2n+1TI'd) (f) x3[n] = cos(*n)

ANSWER:

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The total energy and the time averaged power over an infinite time interval for a continuous time signal, , are given respectively as,

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