CALCULATE THE TOTAL MODULATION INDEX WHEN A CARRIER WAVE IS BEING MODULATED BY TWO MODULATING SIGNALS WITH MODULATION INDICES 0.8 AND 0.3.Select one:a. 0.8544b. 0.9999c. 0.5545d. 0.6788
Question
CALCULATE THE TOTAL MODULATION INDEX WHEN A CARRIER WAVE IS BEING MODULATED BY TWO MODULATING SIGNALS WITH MODULATION INDICES 0.8 AND 0.3.Select one:a. 0.8544b. 0.9999c. 0.5545d. 0.6788
Solution
The total modulation index (βt) when a carrier wave is being modulated by two modulating signals can be calculated using the formula:
βt = sqrt(β1^2 + β2^2)
where β1 and β2 are the modulation indices of the two signals.
In this case, β1 = 0.8 and β2 = 0.3.
So, βt = sqrt((0.8)^2 + (0.3)^2) = sqrt(0.64 + 0.09) = sqrt(0.73) = 0.8544
So, the total modulation index is 0.8544. Therefore, the correct answer is a. 0.8544.
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