Ise ihe orinonormal waveforms In Prot P-1.3 to approximate thne function x(t) = sin(7 t/4) %3D 1 1 2 2 4 HI2

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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7.4 Use the orthonormal waveforms in Problem P-7.3 to approximate the function
x(t) :
sin(tt/4)
4
1
2
1
21
3
Figure P-7.3
over the interval 0<t <4 by the linear.combination
3
Î(t) =
n=1
1. Determine the expansion coefficients {cn} that minimize the mean-square
approximation eror
p4
[x(t) - (t)]² dt
or
E =
2. Determine the residual mean square error Emin.
Transcribed Image Text:7.4 Use the orthonormal waveforms in Problem P-7.3 to approximate the function x(t) : sin(tt/4) 4 1 2 1 21 3 Figure P-7.3 over the interval 0<t <4 by the linear.combination 3 Î(t) = n=1 1. Determine the expansion coefficients {cn} that minimize the mean-square approximation eror p4 [x(t) - (t)]² dt or E = 2. Determine the residual mean square error Emin.
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