Consider a full wave rectifier that has as output a periodic signal x(t) of fundamental period T 0 1 and a period of it is given as (a) Obtain the Fourier coefficients X k (b) Suppose we pass x(t) through an ideal filter of transfer function H(s), determine the values of this filter at harmonic fre...

a The period x 1 t can be expressed as x 1 t 05 sin t ut sint 1 ut 1 which has a Laplace t ...

Consider a full-wave rectifier that has as output a periodic signal x(t) of fundamental period T 0

Question:

Consider a full-wave rectifier that has as output a periodic signal x(t) of fundamental period T₀= 1 and a period of it is given as

cos(A t) –0.5 <t< 0.5 X1(t) = otherwise

(a) Obtain the Fourier coefficients X_k.

(b) Suppose we pass x(t) through an ideal filter of transfer function H(s), determine the values of this filter at harmonic frequencies 2Ï€ k,= 0, ±1, ±2, ..., so that its output is a constant, i.e., we have a dc source. Use MATLAB to plot the magnitude line spectrum of x(t).

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