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A function f (t) is shown in the figure.
  • a)
    real and even function of ω
  • b)
    real and odd function of ω
  • c)
    imaginary and odd function of ω
  • d)
    imaginary and even function of ω
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A function f (t) is shown in the figure.a)real and even function of &o...
Concept:
A function is odd, if the function on one side of x-axis">t-axisx-axis is sign inverted with respect to the other side or graphically, symmetric about the origin.
f(t) = - f(-t)
Symmetry condition of Fourier Transform

Calculation:
We have the wave form of function f (t) as

From the wave form, f(t) is an odd function
∴ f (t) = - f (- t)
⇒ Fourier transform of the function is imaginary and odd function of ω
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A function f (t) is shown in the figure.a)real and even function of ωb)real and odd function of ωc)imaginary and odd function of ωd)imaginary and even function of ωCorrect answer is option 'C'. Can you explain this answer?
Question Description
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