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Power control has been an effective approach for mitigating the effect of fading in the quality of signal transmission over wireless channels. The system typically involves a mechanism of measuring the quality of the channel seen by the receiver and providing such information to the transmitter to adjust the amount of transmitted power. These systems are considered as opportunistic systems since they take advantage of the information about the channel to optimize the communications process. The proposed algorithm performs power allocation for individual bits to minimize the mean square error (MSE) of a 2-D-signal transmitted over AWGN channel. It provides a gain in Eb/ No over conventional equal-power allocation system based on statistical analysis. Statistical measures play a key role in analysis of signals especially in 2-D and 3-D signals.