University:
College
Course:
College Engineering
Academic year:

2023
Views:

466

Pages:

3
Author:

Dipin K.

Probabiling of error Calculation BFSK In BFSK then are Binay 1 and O two transmitting signals ignals Corresponds to På Binay 1 (1)= 2Eb cos 2xfit = √(4) (t)=√ Cos2xfe(+) for Binay S₂(t) = ie for Brok we need two orthonormal Basis function to plot the signal space diagram, (+) 811=√ dewion boundary Region 2 04 $12=0 22 S21-0 $22 Reguin 1 Sact)=$214+ 52242(4) - = At the Receiver the received re ignal is X = Si(t)+n(t) LA COGNA Decision Rule: Guess Sylt) or Binary 1 was transmitted, If the received signal point, falls in the region 21 Guess ) of Binary O, if x Palls in 22. Error Condition. Signal S₁ct) [Binary 1] was transmited of X-falls in 22 Signal (+) [Binayo] cres transmitted f x falls in Reviver for BFSK Consists of de Deumen device The op 121-2ュ・ "The received signal falls in región Z, oshen 2,722 ilstvo for segnal Sy(t) The secured signal falls in region Z2 cohen 21 <22 for signal sect Leve The value of random variable I' depends mean val Symbol was transmitted... which binary Mean of L E [2/4] = F[1/1]-[X/2] for binary 1 = +Eb E[40] = [1/0]-[xx/0] for binany zuo. E Vanone of L Vai [1] = Vai [xi] + Vau [X2] = No/2 + No/2 No. Probabiling of for symbol ' [for Sects] e (0) Defined as the probability of enor when the transmitted signal was sects ie Binay o' →to find Peco) find fit fx (110) & integrate over tood (1/0)=x[2] exp[-] m₁ = "JEo for 'o' Pe co Co) = P(1>0/symbol o asas sent) - (4/10) de. 00 exp[-(+66)2 de 2N Let ONTT dz= de. No Pimin = 2=5E/N Corresponding complementary error functions representation is Pe(o)=erfe (√) 11ly for symbol 1 Pe (4)=erfe. total P-Gbability of ever Pe = P(0) Peso) + P(1) + Pe (1) = 1/2 P20+1/2011)