Delta Modulation (DM) MCQ Quiz - Objective Question with Answer for Delta Modulation (DM) - Download Free PDF
Last updated on Mar 17, 2025
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Delta Modulation (DM) Question 1:
The step size of a delta modulator is 0.75 V. The output of the Delta modulator is fed to a low pass filter. If the cutoff frequency of 4 kHz sampling frequency is 8 kHz. Then granular noise at the output of LPF is ________ W.
Answer (Detailed Solution Below)
Delta Modulation (DM) Question 1 Detailed Solution
\({\rm{\Delta }} = 0.75\)
Probability density function of granular Noise
Granular Noise power:
\( = E\left[ {{x^2}} \right] = \mathop \smallint \limits_{ - {\rm{\Delta }}}^{\rm{\Delta }} {x^2}fx\left( x \right)dx\)
\( = \mathop \smallint \limits_{ - {\rm{\Delta }}}^{\rm{\Delta }} {x^2}\left( {\frac{1}{{2{\rm{\Delta }}}}} \right)dx\)
\( = \frac{1}{{2{\rm{\Delta }}}}{\left( {\frac{1}{3}} \right)^2}{{\rm{\Delta }}^3} = \frac{{{{\rm{\Delta }}^2}}}{3}\)
at the output of LPF Granular noise is:
\(\frac{{{{\rm{\Delta }}^2}}}{3}\frac{{{f_m}}}{{{f_s}}}\)
\( = \frac{{{{\left( {0.75} \right)}^2}}}{3}\left( {\frac{4}{8}} \right)\)
= 0.093 W