On the capacity of the blockwise incoherent MPSK channel

Author

Peleg, Michael ; Shamai, Shlomo

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

46

Issue

5

fYear

1998

fDate

5/1/1998 12:00:00 AM

Firstpage

603

Lastpage

609

Abstract

The capacity of M-ary phase-shift keying (MPSK) over an additive white Gaussian noise (AWGN) channel with carrier phase unknown but constant over L symbols is investigated. It is shown that capacity-achieving channel inputs are uniformly distributed and independent MPSK symbols. Capacity over a range of signal-to-noise ratio (SNR) and L is presented for binary phase-shift keying (BPSK) and quaternary phase-shift keying (QPSK). Upper and lower easy-to-compute bounds on capacity are derived. It is proven that for large L the coherent capacity is approached. An analytic asymptotic expression for low L·SNR is derived exhibiting the expected quadratic dependence on the SNR

Keywords

Gaussian channels; channel capacity; phase shift keying; quadrature phase shift keying; AWGN channel; BPSK; M-ary phase-shift keying; QPSK; additive white Gaussian noise channel; analytic asymptotic expression; binary phase-shift keying; blockwise incoherent MPSK channel; capacity; capacity-achieving channel inputs; carrier phase; coherent capacity; lower bounds; quadratic dependence; quaternary phase-shift keying; signal-to-noise ratio; upper bounds; AWGN; Additive white noise; Binary phase shift keying; Channel capacity; Convolutional codes; Fading; Iterative decoding; Phase shift keying; Signal to noise ratio; Spread spectrum communication;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.668728

Filename

668728