27 Consider the four phase and eight phase signal constellations shown in Figure P 8 27 Determine the radii r and r2 of the

Question

27 Consider the four phase and eight phase signal constellations shown in Figure P 8 27 Determine the radii r and r2 of the circles so that the distance between two adjacent points in the two constellations is d From this result determine the additional transmitted energy required in the 8 PSK signal to achieve the same error probability as the four phase signal at high SNR where the probability of error is determined by errors in selecting adjacent points M 4 M 8 Figure P 8 27

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