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In the past few years, a number of publications concentrated on developing soft-in-soft-out algorithms for coded noncoherent detection, thereby enabling iterative processing and avoiding the need of channel estimation. This paper focuses on iterative noncoherent detection of convolutionally coded M- DPSK signals for time-variant Rayleigh flat fading channels without the receiver having channel state information (CSI). Specifically we show that a noncoherent soft demodulator for minimum-shift keying, which was previously reported in the literature, lends itself quite naturally for soft demodulation of DPSK. We present an extension of this receiver in terms of per- survivor processing and examine the influence of different symbol labelings.