In a digital communication system known as QPSK, one of four symbols {A, B, C, D} is transmitted at a time. The channel characteristics are indicated in the figure below.The prior probabilities of the input symbols are given to be: Pr[AS] = 3/16, Pr[BS] = 1/4, Pr[CS] = 5/16, Pr[DS] = 1/4. (a) What is the probability of receiving an A?(b) Determine the probability of error in this channel.(c) Given that D is received, find the probability that (i) A was sent, (ii) B was sent, (iii) C was sent, and (iv) D was sent. 0.97AR00 AsBR0.950.97CRII CsDR10 D,0.95 Q1.3 In a digital communication system known as QPSK, one of four symbols {A, B, C, D} is transmitted at a time.The channel characteristics are indicated in the figure below.The prior probabilities ofthe input symbols are given to be: Pr[AS] = 3/16, Pr[BS]= 1/4, Pr[CS] = 5/16, Pr[DS]= 1/4.0.9700 A,AR01 B,0.95(a) What is the probability of receiving an A?(b) Determine the probability of error in this channel.(c) Given that D is received, find the probability that (i) A was sent, (ii) B was sent,(iii) C was sent, and (iv) D was sent.0.9710 D.DR0.95

a) Probability of receiving A=P(A,C) =PAR∩ AS +PAR∩…

Answered: In a digital communication system known…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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In a digital communication system known as QPSK, one of four symbols {A, B, C, D} is transmitted at a time. The channel characteristics are indicated in the figure below.The prior probabilities of the input symbols are given to be: Pr[AS] = 3/16, Pr[BS] = 1/4, Pr[CS] = 5/16, Pr[DS] = 1/4.

(a) What is the probability of receiving an A?

(b) Determine the probability of error in this channel.

(c) Given that D is received, find the probability that (i) A was sent, (ii) B was sent, (iii) C was sent, and (iv) D was sent.

0.97
AR
00 As
BR
0.95
0.97
CR
II Cs
DR
10 D,
0.95

Q1.3 In a digital communication system known as QPSK, one of four symbols {A, B, C, D} is transmitted at a time.
The channel characteristics are indicated in the figure below.The prior probabilities of
the input symbols are given to be: Pr[AS] = 3/16, Pr[BS]= 1/4, Pr[CS] = 5/16, Pr[DS]
= 1/4.
0.97
00 A,
AR
01 B,
0.95
(a) What is the probability of receiving an A?
(b) Determine the probability of error in this channel.
(c) Given that D is received, find the probability that (i) A was sent, (ii) B was sent,
(iii) C was sent, and (iv) D was sent.
0.97
10 D.
DR
0.95

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