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Multiband keying (MBK) has been proposed as a means of modulating information bits into ultra wideband signals. In this paper, we are concerned with multiband keying modulation employing MPSK signals in each subband. The optimal receiver for the MBK symbols over an AWGN channel and the corresponding maximum likelihood (ML) decision rule have been presented and its performance is evaluated through analysis and simulation. An efficient algorithm, based on a depth-first tree search, is also introduced in order to simplify the maximum likelihood detection. It is shown by simulation that while the proposed algorithm significantly reduced the computational complexity, the performance in terms of symbol error rate is very close to that of the optimal ML receiver.