Two 4-ary signal constellation are shown. It is given that ϕ1 and ϕ2 constitute an orthonormal basis for the two constellations. Assume probabilities of constellation 2 are (0.5, 0.25, 0.12, 0.13) and probabilities of constellation 1 are equiprobable. Let N0 / 2 denote the power spectral density of white Gaussian noise

Which one of the following is / are correct statement?

1
The average energy of constellation 1 is 2a2.
2
The average energy of constellation 2 is a2.
3
Probability of symbol error for constellation 1 is lower.
4
Probability of symbol error for constellation 1 is higher.

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