A continuous-time periodic signal x(t) is real valued and has a fundamental period T = 8 seconds. The non-zero Fourier series coefficients of x(t) are: a₁ = a_₁ = 2, a3 = a_3 = 4j. Express x(t) in the form x(t) = o ancos (not) =0 ○ a. x(t) = 8 cos(t) + 4 cos(³t+1) O b. x(t) = 4 cos (t) + 8 cos(t+1) x(t) = 4 cos(t) + 8 cos(³t+1) x(t) = 8 cos(3³t) + 4 cos(t+1) ○ c. O d.

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  • Fourier analysis of discrete and continuous time signals and systems
  • Bode plots

 

A continuous-time periodic signal x(t) is real valued and has a
fundamental period T = 8 seconds. The non-zero Fourier series
coefficients of x(t) are: a₁ = a_1 2, a3 = a_3 = 4j. Express x(t) in
the form x(t) = Σno ancos (not)
=
=0
○ a. x(t) = 8 cos( t) + 4 cos(³t+1)
○ b. x(t) = 4 cos(³t) + 8 cos(t+1)
x(t) = 4 cos(t) + 8 cos(³t+1)
x(t) = 8 cos(3³t) + 4 cos(+2)
○ c.
O d.
Transcribed Image Text:A continuous-time periodic signal x(t) is real valued and has a fundamental period T = 8 seconds. The non-zero Fourier series coefficients of x(t) are: a₁ = a_1 2, a3 = a_3 = 4j. Express x(t) in the form x(t) = Σno ancos (not) = =0 ○ a. x(t) = 8 cos( t) + 4 cos(³t+1) ○ b. x(t) = 4 cos(³t) + 8 cos(t+1) x(t) = 4 cos(t) + 8 cos(³t+1) x(t) = 8 cos(3³t) + 4 cos(+2) ○ c. O d.
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