Consider an M-ary constellation with the ith symbol denoted by ,. Let the probability of ,...

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Consider an M-ary constellation with the ith symbol denoted by ä,. Let the probability of ā, be P.. The average power of this constellation is given by: M Pav =E lã, P. (2.82) i=1 Consider now a translate of the original constellation, that is, all symbols in the constellation are shifted by a complex constant č. Note that the probability of symbol error remains unchanged due to the translation. The average power of the modified constellation is given by: M Pay =E lã, – a P, Consider an M-ary constellation with the ith symbol denoted by ä,. Let the probability of ā, be P.. The average power of this constellation is given by: M Pav =E lã, P. (2.82) i=1 Consider now a translate of the original constellation, that is, all symbols in the constellation are shifted by a complex constant č. Note that the probability of symbol error remains unchanged due to the translation. The average power of the modified constellation is given by: M Pay =E lã, – a P,