Amplitude ModulationMathematics…….

Amplitude Modulation

Modulated Signal

Frequency Domain

AM Wave

+Vmin=Ec-Em

+Vmax=Ec+Em

-Vmin=-Ec+Em -Vmax=-Ec-Em

Ec

Em

Modulation Index

Mathematical Representation

If Em=mEc

Or

Or

Side Bands

Re organizing the equation

Therefore

Why? sinA x sinB = 1/2[cos(A - B) - cos(A + B)]Upper Side Band

Lower Side Band

Carrier Signal

Frequency Domain Representation

Power Distribution of AM Signal

Current Calculations