GATE EC 2019 Set 1 — Question 32
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Communications → Analog Communications → Angle Modulation (FM & PM)
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Question
The baseband signal shown in the figure is phase-modulated to generate the PM signal . The time on the x-axis in the figure is in milliseconds. If the carrier frequency is kHz and , then the ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is ______ (rounded off to 2 decimal places).
Correct answer
0.74 to 0.76
Solution
The instantaneous frequency of a phase-modulated signal is given by:Given kHz and :where is in kHz and is in ms. From the graph of :
- The signal rises from -1 to 1 in 1 ms (e.g., from to ). The maximum slope is V/ms.
- The signal falls from 1 to -1 in 2 ms (e.g., from to ). The minimum slope is V/ms.
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