nce of noise has p(y) =0 25 8 (y-5 mV)+ 0 58(y)+ 0.25 8 (y+5 mV). If AWGN is also present with standard deviation of 1 mV. (a) Find the optimum threshold setting for decoding (b) Find resulting probability of error. (Ans: (a) Vh 2.63863V, V- 2.63863 V, (b) P, 8.73*10 '). th1 Q2: If the PDF of the noise affecting the bipolar #1.5 volts transmission has the form In< 2 f(n) = { R(4 -n²) elsewhere Where k is a constant to be found. Find the optimum decision level if p(0,-2/3). (Ans: 0.2 volt).

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Q1: The received waveform in a ternary PCM system in the absence of noise has the following pdf
P(y) =0 25 8 (y-5 mV) +0 5 8(y) + 0 258 (y+5 mV). If AWGN is also present with
standard deviation of 1 mV.
%3D
(a) Find the optimum threshold setting for decoding
(b) Find resulting probability of error.
(Ans: (a) Vth 2.63863V, Vth2
,=-2.63863 V, (b) P, 8.73*10 ).
Q2: If the PDF of the noise affeeting the bipolar +1.5 volts transmission has the form
k (4-n2)
In< 2
elsewhere
f(n) =
Where k is a constant to be found. Find the optimum decision level if p(0, 2/3).
(Ans: 0.2 volt).
Transcribed Image Text:Problems Q1: The received waveform in a ternary PCM system in the absence of noise has the following pdf P(y) =0 25 8 (y-5 mV) +0 5 8(y) + 0 258 (y+5 mV). If AWGN is also present with standard deviation of 1 mV. %3D (a) Find the optimum threshold setting for decoding (b) Find resulting probability of error. (Ans: (a) Vth 2.63863V, Vth2 ,=-2.63863 V, (b) P, 8.73*10 ). Q2: If the PDF of the noise affeeting the bipolar +1.5 volts transmission has the form k (4-n2) In< 2 elsewhere f(n) = Where k is a constant to be found. Find the optimum decision level if p(0, 2/3). (Ans: 0.2 volt).
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