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A signal x(t) is denoted by a function which is periodic and continuous in its time domain representation. Then, which of the following would be true for the fourier transform of the signal
(i) Discrete and Periodic
(ii) Discrete and Aperiodic
(iii) Real{x(t)} transforms in to Real{X(jω)}
(iv) Real{x(t)} transforms in to Imag{X(jω)}
  • a)
    (i), (iv)
  • b)
    (ii), (iv)
  • c)
    (i), (iii)
  • d)
    (ii), (iii)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A signal x(t) is denoted by a function which is periodic and continuo...
It is a well-established thumb rule that is tabulated below
Also, Even part of a signal gets transformed into real part of Fourier representation and Odd part of signal gets transformed into Imaginary part of Fourier representation.
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A signal x(t) is denoted by a function which is periodic and continuous in its time domain representation. Then, which of the following would be true for the fourier transform of the signal(i) Discrete and Periodic(ii) Discrete and Aperiodic(iii) Real{x(t)} transforms in to Real{X(jω)}(iv) Real{x(t)} transforms in to Imag{X(jω)}a)(i), (iv)b)(ii), (iv)c)(i), (iii)d)(ii), (iii)Correct answer is option 'D'. Can you explain this answer?
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