In amplitude modulation equation of mesenger wave `A_(o)sinomega_(m)t` and carrier wave `A_(C)cosomega_(C)t` the equation of amplitude modulated wave is
The frequency of amplitude modulated wave is equal to
In amplitude modulation, carrier wave frequencies are:
Identify the mathematical expression for amplitude modulated wave:
In an amplitude modulated wave, message wave frequency f_m and carrier wave of frequency f_c Find out wavelength of amplitude modulated wave
Why is the amplitude of modulating signal kept less than the amplitude of carrier wave ?
The efficient transmission of signals is achieved by superimposing electrical audio signals on a high frequency carrier wave (the process is known as modulation). When the amplitude of high frequency carrier wave is changed in accordance with the intensity of modulating signal, it is called amplitude modulation. The extent to which the amplitude of carrier wave is changed by the signal is described by modulation factor. It is given as m="Amplitude change of carrier wave"/"Amplitude of unmodulated carrier wave" Let a carrier wave is represented by V_c=V_c cos omega_ct Let the modulation factor be m, the maximum change in amplitude of carrier wave is mV_c So, modulating signal can be represented as v_m=mV_c cosomega_mt So, the amplitude of modulated wave is =V_c+mV_c cosomega_m t Using this value, the instantaneous voltage of modulated wave is E=V_c cos omega_c t+ (mV_c)/2 cos (omega_c+omega_m)t + (mV_c)/2 cos (omega_c-omega_m ) t The above wave contains three frequencies namely, f_c, f_c+f_m and f_c-f_m . The frequencies f_c+f_m and f_c-f_m are called side band frequencies , USB and LSB respectively. The fraction of total power carried by side band frequencies is
