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Which of the following cannot be the Fourier series expansion of a periodic signals?
Select one:
Select one:
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following cannot be the Fourier series expansion of a per...
→ x(t) = 2cos t + 3cos t is periodic signal with fundamental frequency ω = 1.
→
The frequency of first term frequency of 2nd term is ω2 = 1.
is not the rational number
So, x(t) is a periodic or not periodic.
→ x(t) = cos t + 0.5 is a periodic function with
→
first term has frequency
2nd term has frequency
So about ratio is rational number x(t) is a periodic signal, with fundamentalfrequency
Since function in (b) is non periodic. So does not satisfy Dirichlet conditionand cannot be expanded in Fourier series.
The correct answer is:
→
The frequency of first term frequency of 2nd term is ω2 = 1. is not the rational numberSo, x(t) is a periodic or not periodic.
→ x(t) = cos t + 0.5 is a periodic function with
→
first term has frequency 2nd term has frequency
So about ratio is rational number x(t) is a periodic signal, with fundamentalfrequency
Since function in (b) is non periodic. So does not satisfy Dirichlet conditionand cannot be expanded in Fourier series.
The correct answer is:
Most Upvoted Answer
Which of the following cannot be the Fourier series expansion of a per...
Answer should be option b cuz 0.5 is not periodic and if a function is not periodic it violates Dirichlet condition so answer is option b answer could not be d there is a mistake correct answer is b
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Community Answer
Which of the following cannot be the Fourier series expansion of a per...
Please explain why we not consider the 2nd option because this is also a irrational number..
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Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following cannot be the Fourier series expansion of a periodic signals?Select one:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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