I need the answer as soon as possible 6.22 (a) In a coherent FSK system, the signals s1(t) and s2(t) representing symbols 1 and 0,respectively, are defined byAfs1(t), s2(t) = A, cos 27 f0sts T,%3DAssuming that f.> Af, show that the correlation coefficient of the signals s1(t) and s2(t)is approximately given by| sı(t)s2(t) dtsinc(2AfT,)TB| sitt) dt(b) What is the minimum value of frequency shift Af for which the signals s,(t) and s2(t)are orthogonal?(c) What is the value of Af that minimizes the average probability of symbol error?(d) For the value of Af obtained in part (c), determine the increase in E,/No required sothat this coherent FSK system has the same noise performance as a coherent binaryPSK system.

s1t=Ac.cos2πfc+∆f2t, 0⩽t⩽Tbs2t=Ac.cos2πfc-∆f2t, 0⩽t⩽TbCorrelation coefficient,ρ=∫0Tbs1ts2tdts12t…

6.22 (a) In a coherent FSK system, the signals s,(t) and s2(t) representing symbols 1 and 0, respectively, are defined by Af $1(t), s2(t) = A. cos 27| f. = 0sts T, %3D Assuming that fe> Af, show that the correlation coefficient of the signals s,(t) and s2(t) is approximately given by $1(t)s2(t) dt

6.22 (a) In a coherent FSK system, the signals s,(t) and s2(t) representing symbols 1 and 0, respectively, are defined by Af $1(t), s2(t) = A. cos 27| f. = 0sts T, %3D Assuming that fe> Af, show that the correlation coefficient of the signals s,(t) and s2(t) is approximately given by $1(t)s2(t) dt

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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I need the answer as soon as possible

6.22 (a) In a coherent FSK system, the signals s1(t) and s2(t) representing symbols 1 and 0,
respectively, are defined by
Af
s1(t), s2(t) = A, cos 27 f
0sts T,
%3D
Assuming that f.> Af, show that the correlation coefficient of the signals s1(t) and s2(t)
is approximately given by
| sı(t)s2(t) dt
sinc(2AfT,)
TB
| sitt) dt
(b) What is the minimum value of frequency shift Af for which the signals s,(t) and s2(t)
are orthogonal?
(c) What is the value of Af that minimizes the average probability of symbol error?
(d) For the value of Af obtained in part (c), determine the increase in E,/No required so
that this coherent FSK system has the same noise performance as a coherent binary
PSK system.

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