If mt is modulation index of FM. What is the value of ratio ( SN )_WBFM( SN )_AM for 100% amplitude modulation with identical total transmitted power?

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This question belongs to Electronics And Communications Engineering Communication Systems

Communication Systems

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If m_t is modulation index of FM. What is the value of ratio $$\frac{{{{\left( {\frac{{\text{S}}}{{\text{N}}}} \right)}_{{\text{WBFM}}}}}}{{{{\left( {\frac{{\text{S}}}{{\text{N}}}} \right)}_{{\text{AM}}}}}}$$ for 100% amplitude modulation with identical total transmitted power?

A) $$\frac{9}{2}{\text{m}}_{\text{f}}^2$$ B) $$\frac{3}{2}{\text{m}}_{\text{f}}^2$$ C) $$\frac{3}{2}{\text{m}}_{\text{f}}^3$$ D) $$\frac{9}{2}{\text{m}}_{\text{f}}^3$$

Answer & Solution

Correct Answer: Option A

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If mt is modulation index of FM What is the value...

If mt is modulation index of FM. What is the value of ratio $$\frac{{{{\left( {\frac{{\text{S}}}{{\text{N}}}} \right)}_{{\text{WBFM}}}}}}{{{{\left( {\frac{{\text{S}}}{{\text{N}}}} \right)}_{{\text{AM}}}}}}$$ for 100% amplitude modulation with identical total transmitted power?

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If m_t is modulation index of FM. What is the value of ratio $$\frac{{{{\left( {\frac{{\text{S}}}{{\text{N}}}} \right)}_{{\text{WBFM}}}}}}{{{{\left( {\frac{{\text{S}}}{{\text{N}}}} \right)}_{{\text{AM}}}}}}$$ for 100% amplitude modulation with identical total transmitted power?