A family of interleaved systems for communicating over the additive white G
aussian noise (AWGN) channel with noisy or unknown phase is investigated. E
ach system comprises convolutional code or turbo code, interleaver, binary
phase shift keying or quaternary phase shift keying modulation and differen
tial or similar encoding. The receiver performs jointly and iteratively the
decoding and the channel demodulation in the presence of unknown phase uti
lising an observation interval exceeding two symbols. AU systems exhibit go
od performance with various levels of phase noise. The convolutional code,
achieving bit error rate (BER) below 10(-3) at bit energy over noise spectr
al density ratio (E-b/N-o) of 2.4dB with no phase noise, outperforms the tu
rbo code slightly over AWGN channels due to limited capability of the itera
tive algorithm in this setting. The turbo code is superior in bursty channe
ls, modelling for example a block erasures fading environment. When the car
rier phase is unknown but constant over an interval of ten symbols, the tur
bo coded system achieves BER lower than 10(-3) at E-b/N-o of 2.6dB, that is
1.3dB away from the capacity limit of this channel.