Error floor of pulse amplitude modulation with adaptive sampling phase in time-dispersive fading channels


Andreas F. Molisch and Helmut Bölcskei


Proc. of IEEE Personal, Indoor and Mobile Radio Communications Conference (PIMRC), Boston (MA), Vol. 2, pp. 884-890, Sept. 1998.

DOI: 10.1109/PIMRC.1998.734689

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We consider the error floor of coherently and differentially detected PAM (pulse amplitude modulation) in time-dispersive fading channels; PAM includes PSK (phase shift keying) and QAM as special cases. We introduce a new Zak-transform based method for computing the error floor. This method can be applied to arbitrary modulation formats and a very general class of time-dispersive channels. We prove that unfiltered BPSK exhibits no error floor when the sampling phase is chosen adaptively and (for coherent detection) the basis pulse satisfies a symmetry condition. For filtered BPSK there is an error floor, which depends on the filter bandwidth. For higher-order modulations, there is always an error floor; it can be attributed to I-Q crosstalk.


PAM, error probability, Zak-transform, differential detection, I-Q crosstalk

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