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Can You please do part A to this problem I am very lost

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Problem 1
(QPSK Decision Regions) Let H e {0, 1, 2, 3} and assume that when H = i you transmit the
signal s; shown in the figure. Under H = i, the receiver observes Y = s; + Z.
81
83
(a) Draw the decoding regions assuming that Z ~ M(0, o'/2) and that PH (i) = 1/4, i e
{0, 1, 2, 3}.

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