Communication Systems Engineering - Solved Assignment | ELEG 403, Assignments of Electrical and Electronics Engineering

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T/2 T E,= | (<1)? de + fc +1)'at = T 0 T/2 The only basis function of the signal-space diagram is = 1B _ lo Oo JF The signal-space diagram of the Manchester code using the doublet pulse is as follows: 6 AF VF ‘ Hence, the distance between the two signal points is d = 2/T . The average probability of error over an AWGN channel is given by 1 d 1 T =s = cerfel [— P, gente) 5et of N Problem 5.14 (a) Let Z denote the totaz observation space, which is divided into two parts Z, and Z 0 . 1 Whenever an observation falls in Zo: we say Hoe and whenever an observation falls in Zhe we say H,. Thus, expressing the risk R in terms of the conditional probability density functions and the decision regions, we may write R= “00 Po ‘a ofxtn, 2iHg a 288