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Phase Modulation Questions and Answers

71.

Which family does phase modulation belong to?

Answer: C

PM belongs to angle modulation, alongside FM, because it varies an argument of the carrier's cosine rather than its multiplier. Amplitude modulation varies the multiplier. Pulse modulation encodes samples in the properties of pulses. And spread spectrum deliberately widens a signal far beyond its information bandwidth. The family classification predicts the constant envelope, the Bessel spectrum and the limiter's usefulness all at once.

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72.

What is the unit of phase modulation sensitivity?

Answer: D

Sensitivity is quoted in radians per volt, so multiplying by the peak message amplitude gives the index directly. Hertz per volt is the frequency modulator's figure. Volts per radian would describe a detector's output. And radians per second is an angular frequency rather than a sensitivity. Unit checking catches most errors in this topic before any arithmetic is attempted, because each family's parameters have distinct dimensions.

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73.

Which quantity is the same for FM and PM at a given index and message frequency?

Answer: A

The occupied bandwidth is identical, because both schemes share the Bessel spectrum and Carson's rule; the difference between them lies entirely upstream, in how the index arises. Sensitivities are measured in different units. Sideband power distribution follows the same Bessel amplitudes and so is also shared, but the option as worded excludes the carrier and is therefore an incomplete statement. And the index calculation is precisely what differs.

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Answer: B

Raising the amplitude raises the index, so energy spreads into higher-order sidebands and more pairs matter, while their spacing stays at the message frequency throughout. The carrier weakens rather than strengthens, since total power is fixed. And the bandwidth remains proportional to message frequency however large the index. Separating what the index controls, namely amplitudes, from what the message frequency controls, namely positions, is the key to reading any angle-modulated spectrum.

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Answer: C

A practical modulator's phase shift is linear only over a fraction of a radian, so a large index distorts unless the index is built up by frequency multiplication afterwards. That constraint is exactly why the Armstrong transmitter exists in the form it does. Carrier amplitude is held constant by design. Bandwidth always depends on the index. And limiting at the receiver is unaffected by the transmitter's index. The parameter that varies and the parameter that does not are worth naming before any substitution is attempted.

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Answer: D

Multiplying the signal multiplies its instantaneous phase, and hence the phase deviation, by the same factor as the carrier frequency, so a small index at low frequency becomes a usable one at the operating frequency. Bandwidth grows rather than narrows, in proportion. The message is untouched, being already embedded in the carrier. And the carrier survives multiplication. This is the mechanism that makes indirect generation practical, and it applies to both angle schemes.

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Answer: A

The chain of multipliers, each followed by filtering to reject unwanted harmonics, makes the transmitter long and complex, which is the price of the crystal stability the method delivers. Instability is the direct method's weakness, not this one's. Large deviation is precisely what multiplication achieves. And no angle modulation needs linear amplification. Weighing complexity against stability is the actual decision a transmitter designer faces.

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Answer: B

Used with a wide enough loop bandwidth, the phase error inside the loop tracks the modulation and is the recovered message, which makes the loop a natural PM detector as well as an FM one, the difference being which node is tapped. An envelope is constant here. A frequency count would give the derivative. And rectification belongs to amplitude detection. Recognising that one circuit can serve both angle schemes, depending on where the output is taken, is a genuinely useful piece of practical knowledge.

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79.

Which node of a phase-locked loop gives the FM message rather than the PM message?

Answer: C

The oscillator control voltage follows the instantaneous frequency and so delivers the FM message, while the phase detector's residual error follows the phase and delivers the PM message. That one loop serves both, read at two different points, is a neat consequence of frequency being the derivative of phase. The filter input and the reference are not signal outputs in this sense. Knowing which node carries which quantity is exactly the kind of detail that separates understanding a block diagram from memorising it.

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Answer: D

The false statement is the first: PM's bandwidth is directly proportional to the message frequency, since its index is what stays constant. The other three are all true and are the properties that make the two schemes one family. This is the same index-versus-bandwidth confusion that recurs throughout the topic, and it is worth testing yourself on the distinction until the two statements cannot be interchanged. Checking the units of each quantity catches a wrong formula before the arithmetic begins.

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