With a carrier voltage of 80Vp-p and
%m at 100 what is Vm,Vmax,Vmin,Vusb,Vlsb
To find the values of Vm, Vmax, Vmin, Vusb, and Vlsb, we need to understand some basic concepts related to modulation and digital data transmission.
1. Carrier Voltage (Vc): The carrier voltage, also known as Vp-p (peak-to-peak voltage), is the variation between the maximum and minimum voltage levels of the carrier signal. In this case, the carrier voltage is given as 80Vp-p.
2. Modulation Index (%m): The modulation index represents the level of modulation applied to the carrier signal. It determines the magnitude of the deviation from the carrier frequency. In this case, %m is given as 100.
Now, let's calculate the values you are looking for:
1. Vm (Modulation Voltage): The modulation voltage (Vm) represents the peak voltage of the modulating signal. It can be calculated using the formula:
Vm = (Vm% / 100) * Vc
Here, Vm% is the percentage modulation (in this case, it is 100%). So, substituting the given values:
Vm = (100 / 100) * 80Vp-p
= 80Vp-p
Therefore, Vm is equal to 80Vp-p.
2. Vmax (Maximum Signal Voltage): The maximum signal voltage, also known as the maximum deviation, represents the peak voltage when the modulating signal is at its highest amplitude. It can be calculated using the formula:
Vmax = (1 + Vm% / 100) * Vc
Here, substituting the given values:
Vmax = (1 + 100 / 100) * 80Vp-p
= (1 + 1) * 80Vp-p
= 2 * 80Vp-p
= 160Vp-p
Therefore, Vmax is equal to 160Vp-p.
3. Vmin (Minimum Signal Voltage): The minimum signal voltage represents the peak voltage when the modulating signal is at its lowest amplitude. It can be calculated using the formula:
Vmin = (1 - Vm% / 100) * Vc
Substituting the given values:
Vmin = (1 - 100 / 100) * 80Vp-p
= (1 - 1) * 80Vp-p
= 0 * 80Vp-p
= 0Vp-p
Therefore, Vmin is equal to 0Vp-p.
4. Vusb (Upper Sideband Voltage): The upper sideband voltage represents the peak voltage of the positive frequency modulation deviation. It can be calculated using the formula:
Vusb = (1 + (Vm% / 100)) * Vc / 2
Substituting the given values:
Vusb = (1 + (100 / 100)) * 80Vp-p / 2
= (1 + 1) * 80Vp-p / 2
= 2 * 80Vp-p / 2
= 160Vp-p / 2
= 80Vp-p
Therefore, Vusb is equal to 80Vp-p.
5. Vlsb (Lower Sideband Voltage): The lower sideband voltage represents the peak voltage of the negative frequency modulation deviation. It is symmetrical to Vusb. Therefore, Vlsb is also 80Vp-p.
In summary:
Vm = 80Vp-p
Vmax = 160Vp-p
Vmin = 0Vp-p
Vusb = 80Vp-p
Vlsb = 80Vp-p