engineering recuitment GATE EE 2023-24 Test Series Signals and Systems Fourier Series Forms of Fourier Series
The correct matching between two lists given below is
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List - I |
List - II |
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A. x(t) + x(-t) = 0 |
1. Odd Harmonics can’t exist |
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B. x(t) – x(-t) = 0 |
2. Even harmonics can’t exist |
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C. \(x\left( t \right) + x\left( {t - \frac{T}{2}} \right)=0\) |
3. The DC and cosine terms can exist |
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D. \(x\left( t \right) - x\left( {t - \frac{T}{2}} \right)=0\) |
4. Sine terms can exist |
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5. Cosine terms of even harmonics can exist |
Where ‘T’ is the time period of periodic signal x(t)
1
A – 4, B – 3, C – 1, D – 2
2
A – 4, B – 1, C – 3, D – 2
3
A – 3, B – 4, C – 2, D – 1
4
A – 4, B – 3, C – 2, D – 1