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Analog Communication Homework 1 Fourier Transform Consider the following function: g(t) = { −1, 0 < x < 0.5 1, −0.5 < x < 0 0, otherwise a) Find the Fourier transform of g(t) b) Find magnitude spectrum of G(f) c) Find the phase spectrum of G(f) d) Calculate G(f), |G(f)|, phase of G(f) at a frequency of your choice between 1 Hz and 5 Hz, e) Find the frequency where |G(f)| is maximum f) Find the maximum of |G(f)| g) Find the range of frequencies where |G(f)| is above half the maximum

Analog Communication Homework 1 Fourier Transform Consider the following function: g(t) = { −1, 0 < x < 0.5 1, −0.5 < x < 0 0, otherwise a) Find the Fourier transform of g(t) b) Find magnitude spectrum of G(f) c) Find the phase spectrum of G(f) d) Calculate G(f), |G(f)|, phase of G(f) at a frequency of your choice between 1 Hz and 5 Hz, e) Find the frequency where |G(f)| is maximum f) Find the maximum of |G(f)| g) Find the range of frequencies where |G(f)| is above half the maximum

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Analog Communication Homework 1
Fourier Transform
Consider the following function:
g ( t ) = { − 1 , 0 < x < 0.5 1 , − 0.5 < x < 0 0 , otherwise
a) Find the Fourier transform of g ( t )
b) Find magnitude spectrum of G(f)
c) Find the phase spectrum of G ( f )
d) Calculate G ( f ) , | G ( f ) | , phase of G ( f ) at a frequency of your choice between 1 H z and 5 H z ,
e) Find the frequency where | G ( f ) | is maximum
f) Find the maximum of | G ( f ) |
g) Find the range of frequencies where | G ( f ) | is above half the maximum

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