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# A#07 - Assignment#07 w{3.1 ECSE—2410 Signals& Systems...

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Unformatted text preview: Assignment #07 w {3.1 ECSE—2410 Signals & Systems ~ Spring 2007’ Due: Tue 02/13/07 1. (25) F ind the average value (DC. value) of the foliowing periodic signals. (a) (10) x“ (0 m 13 sin (Jr/2) t I, which is the output of a rectiﬁer. Sketch xa (I) over several periods. —1—t, w2<r<0 0 < r < I . . , where xb (t) represents one period of the Sigma}. 3’! (b)(15lxb(f)= w2~i~t, 1<r<2 0, eise Sketch xb (i) ever the interval, — 2 s t S 6. 2. (20) in the text, Problem 3.25, page 257. Euler’s equation is very helpful here. 3. (30). The periodic waveform shown can be expressed as an exponential Fourier series, CO xa) = Zakefkwm L kﬁwm (a) (3) Find the period, T . (b) (7) Find the DC vaiue, a0 . (e) (20) Find a general expression for the other exponential Fourier coefﬁcients, ah , k at 0. Use properties and known formuias for basic Fourier series. No credit for direct integration of the deﬁning formula for rank. Assignment #87 — 19.2 4. (25) Find the exponential Fourier series coefﬁcients, ak , for the periodic signal, b) (5) Find the DC vaiue, ag. e) (20) Again, ﬁnd a general expression for the other exponentiai Fourier coefﬁcients, ak , k st 0 . Use properties and known formulas for basic Fourier series. There is no need for direct integration of the deﬁning formula for ak. ...
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A#07 - Assignment#07 w{3.1 ECSE—2410 Signals& Systems...

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