Question

A signal x(t) given to FM and PM results in equal frequenccy deviation. The relation between $k_{p}and{k}_{f}ifx\left(t\right)=r\left(t\right)-r(t-1)-2u(t-2)+u(t-3)$ is

• A. $k_f=k_p$
• B. can't be established
• C. $k_f=k_p/2\pi$
• D. $k_f=k_p/\pi$

Answer 1

The correct option is B can't be established

$[\Delta f{]}_{FM}=[k_{f}x\left(t\right){]}_{max}$

$[\Delta f{]}_{PM}={\left[\frac{k_p}{2\pi }\frac{dx\left(t\right)}{dt}\right]}_{max}$



$\therefore [\Delta f{]}_{PM}=k_f(1)$

$[\Delta f{]}_{PM}=\frac{k_p}{2\pi }(\infty )$

As we know that amplitude of impluse is $\infty$.

$\therefore Ans=Relationbetween{k}_{f}and{k}_{p}ca{n}^{\prime }tbeestablished.$