9) Given the periodic function shown in the plot, xtt) 30 20 10 .2 a) The signal

Question

9) Given the periodic function shown in the plot, xtt) 30 20 10 .2 a) The signal has even symmetry. T F b) The signal period is To 2 T F c) The signal average value, or DC component, is by inspection ao 20. TF d) The signal has the FS Coefficient an#0 T F e) The signal has the FS Coefficient bn#0 for some n. T F 10) The input to the LTi system at rest shown below is x(t) 2esutt) and the system impulse response is h(t) 5etu(t) h(t) system aCe) y(e) Using the Fourier Transform it can be shown that the system Frequency Response is: a) 11(a))=- b) H(w) = ju- d) none of the above

Explanation / Answer

9 (A) The signal is an Odd Signal. It satisfies the equation x(-t)=-x(t)

So False.

9 (B) The signal Period is 4 by observation.

So False.

9 (C) By inspection ,the signal looks like a square wave with a dc component of 20 . Hence a0 =20

So True.

9 (D) The signal is an Odd Signal .Hence Only bn Coefficients exits

So False

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