GATE EC 2014 Set 2 — Question 29
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Signals & Systems → Continuous-Time Signals → Fourier Series
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Question
Consider the periodic square wave in the figure shown.
The ratio of the power in the harmonic to the power in the harmonic for this waveform is closest in value to _______.

Correct answer
0.5 to 0.52
Solution
For a periodic square wave with amplitude , the Fourier series coefficients are for odd and for even . The power in the harmonic is proportional to . Therefore, . The ratio of the power in the harmonic to the power in the harmonic is:
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