SPM(t) and SFM(t) as defined below, are the phase-modulated and the frequency-modulated waveforms, respectively, corresponding to the message signal m(t( shown in the figure.
\({S_{PM}}\left( t \right) = {\rm{cos}}\left( {1000\pi t + {K_p}m\left( t \right)} \right)\) and
\({S_{FM}}\left( t \right) = {\rm{cos}}\left( {1000\pi t + {K_f}\mathop \smallint \nolimits_{ - \infty }^t m\left( \tau \right)d\tau } \right)\)
Where Kp is the phase deviation constant in radians/volt and Kf is the frequency deviation constant in radians/second/volt. If the highest instantaneous frequencies of SPM(t) and SFM(t) are the same, then the value of the ratio \(\frac{{{K_p}}}{{{K_f}}}\) is ______ seconds.
Enter numerical value using the virtual keypad. Round off where necessary.