GATE EC 2021 Set 1 — Question 34
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Communications → Source Coding & Baseband Transmission → Delta Modulation
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Question
A sinusoidal message signal having amplitude is fed to a delta modulator (DM) operating at a sampling rate of . The minimum step size required to avoid slope overload noise in the DM (rounded off to two decimal places) is ________ V.
Correct answer
2.8 to 3.2
Solution
To avoid slope overload noise in a Delta Modulator (DM), the condition for the step size is given by:where is the sampling interval and is the message signal.Given:
Message signal
Amplitude
Frequency
Sampling rate The derivative of the message signal is:The maximum value of the slope is:Substituting this into the condition:The minimum step size is:Rounding off to two decimal places, the minimum step size is .
Message signal
Amplitude
Frequency
Sampling rate The derivative of the message signal is:The maximum value of the slope is:Substituting this into the condition:The minimum step size is:Rounding off to two decimal places, the minimum step size is .
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