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A periodic signal x(t) has a trigonometric Fourier series expansion
  • a)
    an are zero for all n and bn are zero for n even
  • b)
    an are zero for all n and bn are zero for n odd
  • c)
    an are zero for n even and bn are zero for n odd
  • d)
    an are zero for n odd and bn are zero for n even
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A periodic signal x(t) has a trigonometric Fourier series expansiona)a...
If x (t) = -x (-t) the given periodic signal is odd symmetric. For an odd symmetric signal
na = 0 for all n.
where T0 is fundamental period then the given 
condition satisfies half-wave symmetry.
For half-wave symmetrical signal all coefficients an and bn are zero for even value of n.
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A periodic signal x(t) has a trigonometric Fourier series expansiona)an are zero for all n and bn are zero for n evenb)an are zero for all n and bn are zero for n oddc)an are zero for n even and bn are zero for n oddd)an are zero for n odd and bn are zero for n evenCorrect answer is option 'A'. Can you explain this answer?
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A periodic signal x(t) has a trigonometric Fourier series expansiona)an are zero for all n and bn are zero for n evenb)an are zero for all n and bn are zero for n oddc)an are zero for n even and bn are zero for n oddd)an are zero for n odd and bn are zero for n evenCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A periodic signal x(t) has a trigonometric Fourier series expansiona)an are zero for all n and bn are zero for n evenb)an are zero for all n and bn are zero for n oddc)an are zero for n even and bn are zero for n oddd)an are zero for n odd and bn are zero for n evenCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A periodic signal x(t) has a trigonometric Fourier series expansiona)an are zero for all n and bn are zero for n evenb)an are zero for all n and bn are zero for n oddc)an are zero for n even and bn are zero for n oddd)an are zero for n odd and bn are zero for n evenCorrect answer is option 'A'. Can you explain this answer?.
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