GATE EC 2015 Set 1 — Question 32
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Communications → Source Coding & Baseband Transmission → Delta Modulation
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Question
A sinusoidal signal of frequency is applied to a delta modulator. The sampling rate and step-size of the delta modulator are and , respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is
Correct answer
(A) (1)/(2π)
Solution
To prevent slope overload in a delta modulator, the condition is:where is the step size and is the sampling frequency.
For a sinusoidal signal , the maximum slope is:Substituting the values:Given , , and :Thus, the maximum amplitude is .
For a sinusoidal signal , the maximum slope is:Substituting the values:Given , , and :Thus, the maximum amplitude is .
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