Achievable Rates over Doubly Selective Rician-Fading Channels under Peak-Power Constraint

• Published in: IEEE transactions on wireless communications Vol. 12; no. 2; pp. 586 - 594
• Main Authors: Passerieux, J-M, Socheleau, F-X, Laot, C.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.2013; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Computer Science; Covariance matrix; Doppler effect; doubly selective channel; Exact sciences and technology; Fading; Information rates; Information Theory; Mathematics; Networking and Internet Architecture; Noncoherent capacity; PAPR; peak-limited power; Radiocommunications; Receivers; Signal to noise ratio; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitters. Receivers; underwater acoustic communications; Vectors; Fading channels; Acoustic communication; Lower bound; peak-limited power; Peak to average power ratio; doubly selective channel; Information rate; Transmitter; underwater acoustic communications; Rice fading; Selectivity; Information transmission; Selective fading; PAPR; A priori estimation; Submarine telecommunication; SISO system; Noncoherent capacity; Underwater acoustics; Peak power; Signal to noise ratio
• ISSN: 1536-1276
• DOI: 10.1109/TWC.2012.122212.111812

We derive a lower bound on the capacity of discrete-time Rician-fading channels that are selective both in time and frequency. The noncoherent setting is considered, where neither the transmitter nor the receiver knows a priori the actual channel realization. Single-input single-output communications subject to both average and peak power constraints are investigated. The lower bound assumes independent and identically distributed input data and is expressed as a difference between two terms. The first term is the information rate of the coherent channel with a weighted signal-to-noise ratio that results from the peak-power limitation. The second term is a penalty term, explicit in the Doppler spectrum of the channel, that captures the effect of the channel uncertainty induced by the noncoherent setting. The impact of channel selectivity and power constraints are discussed, and numerical applications on an experimental Rician channel surveyed in an underwater acoustic environment are also provided.