4. If the quantized value xo is obtained by truncation of x instead of rounding, show that the truncation error e = XQ - x will be in the interval [-Q, 0]. Assume a uniform probability density p(e) over this interval, that is p(e) 4 1/Q 1 if -Q

4. If the quantized value xo is obtained by truncation of x instead of rounding, show that the truncation error e = XQ - x will be in the interval [-Q, 0]. Assume a uniform probability density p(e) over this interval, that is p(e) 4 1/Q 1 if -Q

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.27P

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Question

Electrical Engineering
4. If the quantized value xo is obtained by truncation of x instead of rounding, show that the
truncation error e = XQ - X will be in the interval [-Q, 0]. Assume a uniform probability density
p(e) over this interval, that is
p(e) 4
1/Q
1
if -Q <e s0
Q
p(e) =
0 otherwise
a. Find the mean of error
b. Find the variance of error

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