question archive Consider an 8-ary digital communication system consisting of 8 equally likely signals, si(t), i = 1, 2,

Consider an 8-ary digital communication system consisting of 8 equally likely signals, si(t), i = 1, 2,

Subject:Electrical EngineeringPrice: Bought3

Consider an 8-ary digital communication system consisting of 8 equally likely signals, si(t), i = 1, 2, . .., 8. The signal constellation of the 8 signals lie at the corners of a cube centered at the origin. The average symbol energy is E for any transmitted signals.

(a) Find the vector representation of each signal si(t).

(b) Show that the average probability of symbol error is given by

         Pe = 1 – {1 – Q (Ö2E/3N0)}3

Where No/2 is the power spectral density of the additive white Gaussian noise.

 

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