1. Consider the periodic signal x(t) given below. This is a halfivave rectifier voltage measured from an AC/DC converter

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1 Consider The Periodic Signal X T Given Below This Is A Halfivave Rectifier Voltage Measured From An Ac Dc Converter 1 (41.3 KiB) Viewed 35 times

1. Consider the periodic signal x(t) given below. This is a halfivave rectifier voltage measured from an AC/DC converter ost<T./2 Vm = 311 v To To/2 St< To 2x10-2 sec = X(t) = {* sin(27fot) 26) t. -1To -TO To 2 0 2 To To gy a) Determine Fourier series (FS) expansion coefficients Xn for this signal, using the definition Xn= = = latex(t)e-jarfst dt, where. n e Z and a > 0 is any real number. To b) Determine Fourier series (FS) coefficients of the output signal v(t), when x(t) is passed through a filter (LTI system) having the transfer function or impulse response H(). R X(t) C- HA) v(t) 1 1+j2 nf RC 1 10 ö where R = 100 and C = 1000 uF. Ignore the FS coefficients v, of v(t), for which |H(nfo)1 = H<0.01. Plot v(t) versus time. =