Question

Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal on a properly constructed and labeled graph (please, take time to do this correctly; don't use a pencil). 15 m 10 5 0 5 ㄒㄧㄧ-yy/ml -10 0 3 4 6 7 2 5

Answer 1

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Input: 1 10 sin(3 w)+cos(30 w) Plot: 10 -0.5 1.0 0 0.5 5 -10

5:49 PM 26 sin (w) cos (w) 24 21 ou 593 775 sin"(w) cos (W) + 5852925 sin (w) cos22(w) 30045 015 sin 10(w) cos20(w)+ 86 493 225 sin12 (w) cos18 (w) 45422 675 sin14(w) cos16(w)+ 145422 675 sin16(w) cos14(w)- 86 493 225 sin8(w) cos12(w)+ 30045015 sin20 (w) cos1°(w)- 5852925 sin22(w) cos8 (w)+ 593 775 in24(w) cos (w) 27405 sin26(w) cos*(w).+ 435 sin28(w) cos (w)+30 sin(w) cos2 (w Solutions: Exact forms More digits More solutions w2.0944 c1 for c1 EZ w0.333333 (6.28319 c13.14159) for c1 EZ 0.333333 (6.28319 c1 (1.89408-0.308743 )) for c1 E Z 0.333333 (6.28319 c1-(1.24751 +0.308743 i)) for c1 E Z