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Which of the following best characterizes a narrowband FM (NBFM) signal?
Question

Which of the following best characterizes a narrowband FM (NBFM) signal?

A.

A maximum frequency deviation Δf is much greater than the modulating frequency fm\text{A maximum frequency deviation } \Delta f \text{ is much greater than the modulating frequency } f_m​​

B.

Δffm, and the modulation index β>1\Delta f \ll f_m,\ \text{and the modulation index } \beta > 1​​

C.

The modulation index β<1\text{The modulation index } \beta < 1​​

D.

A wide transmission bandwidth\text{A wide transmission bandwidth}​​

Correct option is C

ExplanationFor a narrowband FM (NBFM) signal: The modulation index is defined asβ=ΔffmwhereΔf= maximum frequency deviationfm= maximum modulating frequencyCondition for NBFMβ<1 => ΔffmThis means: Frequency deviation is small Bandwidth is narrow Only the first pair of sidebands is significant\textbf{Explanation} \\[6pt]\text{For a narrowband FM (NBFM) signal:} \\[6pt]\bullet \ \text{The modulation index is defined as} \\[6pt]\beta = \frac{\Delta f}{f_m} \\[8pt]\text{where} \\[4pt]\Delta f = \text{ maximum frequency deviation} \\[2pt]f_m = \text{ maximum modulating frequency} \\[10pt]\textbf{Condition for NBFM} \\[6pt]\beta < 1 \ \Rightarrow \ \Delta f \ll f_m \\[10pt]\text{This means:} \\[6pt]\bullet \ \text{Frequency deviation is small} \\[2pt]\bullet \ \text{Bandwidth is narrow} \\[2pt]\bullet \ \text{Only the first pair of sidebands is significant}​​

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