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(Solved): Give complete solution please, with all steps, otherwise thumb will go down. Thank you in advance. ...



Give complete solution please, with all steps, otherwise thumb will go down. Thank you in advance. Consider a first order low-pass filter given by the following circuit. If

x(t)

is a square wave with frequency equal to

50KHz

, ranging from 0 to 2 volts, and with the origin being such that the maximum value occurs at the origin and the signal is an even function, determine the Fourier series for

x(t)

. a) Give an expression for the output,

y(t)

, in the time domain. b) Give an expression for the output,

y(t)

, in the frequency domain. c) Consider a

40dB

definition of bandwidth, i.e. all out-of-band frequency components are lower than

-40dB

relative to the main

AC

in-band component, what is the bandwidth of the output signal? d) Determine the average power of the input signal. e) Determine the average power of the output signal.



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