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Modulation index of wideband FM systemA. >1B. < 1C. = 1D. NoneSelect one:a. Db. Bc. Ad. C

Question

Modulation index of wideband FM system

A. > 1
B. < 1
C. = 1
D. None
Select one:

  • a. D
  • b. B
  • c. A
  • d. C
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Solution

Step 1: Break Down the Problem

You need to determine the modulation index of a wideband Frequency Modulation (FM) system and select the correct answer from the options provided.

Step 2: Relevant Concepts

The modulation index (β) for FM is defined as: β=Δffm \beta = \frac{\Delta f}{f_m} where:

  • Δf\Delta f is the frequency deviation,
  • fmf_m is the maximum frequency of the modulating signal.

In wideband FM systems, the modulation index is usually greater than 1.

Step 3: Analysis and Detail

For wideband FM:

  • The frequency deviation is significant relative to the highest frequency of the modulating signal.
  • Therefore, it is common for the modulation index (β) to be greater than 1.

This implies that for wideband FM, the modulation index does not equal 1 or is less than 1.

Step 4: Verify and Summarize

From FM theory, we understand that for a system to be considered wideband, the modulation index must exceed 1.

Final Answer

The correct choice is: A. >1.

This problem has been solved

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