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The signal x(t) = cos t + 2 sin √2t will be—
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- Periodic with period 2π
- Non-periodic
- Periodic with period √2π
- None of these
Correct Option: B
Given signal is x(t) = cos + 2 sin √2t
Where, cos → x1(t)
2 sin √2t → x1(t)
Fundamental period of
| x1(t)= T1 = | = 2π | |
| 20π |
| x2(t)= T2 = | = √2π | |
| √2 |
| The ratio, | = | = √2 | ||
| T2 | √2π |
which cannot be expressed as ratio of integers, i.e., non-periodic.
Hence alternative (B) is the correct choice.
