Capacity of Underspread Noncoherent WSSUS Fading Channels under Peak Signal Constraints

We characterize the capacity of the general class of noncoherent underspread wide-sense stationary uncorrelated scattering (WSSUS) time-frequency-selective Rayleigh fading channels, under peak constraints in time and frequency and in time only. Capacity upper and lower bounds are found which are explicit in the channel's scattering function and allow to identify the capacity-maximizing bandwidth for a given scattering function and a given peak-to-average power ratio.

[1]  Muriel Médard,et al.  Bandwidth scaling for fading multipath channels , 2002, IEEE Trans. Inf. Theory.

[2]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[3]  Bruce E. Hajek,et al.  Low SNR Capacity of Fading Channels with Peak and Average Power Constraints , 2006, 2006 IEEE International Symposium on Information Theory.

[4]  Bruce E. Hajek,et al.  Broad-band fading channels: Signal burstiness and capacity , 2002, IEEE Trans. Inf. Theory.

[5]  Costas N. Georghiades,et al.  Computing the capacity of a MIMO fading channel under PSK signaling , 2005, IEEE Transactions on Information Theory.

[6]  A. Viterbi Performance of an M -ary orthogonal communication system using stationary stochastic signals , 1967, IEEE Trans. Inf. Theory.

[7]  Helmut Bölcskei,et al.  System capacity of wideband OFDM communications over fading channels without channel knowledge , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[8]  Bruce E. Hajek,et al.  Capacity bounds for noncoherent fading channels with a peak constraint , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[9]  U. Grenander,et al.  Toeplitz Forms And Their Applications , 1958 .

[10]  D. A. Bell,et al.  Information Theory and Reliable Communication , 1969 .

[11]  Eugene E. Tyrtyshnikov,et al.  Spectra of multilevel toeplitz matrices: Advanced theory via simple matrix relationships , 1998 .

[12]  Bruce E. Hajek,et al.  Capacity per unit energy of fading channels with a peak constraint , 2003, IEEE Transactions on Information Theory.

[13]  Shlomo Shamai,et al.  Capacity of Underspread WSSUS Fading Channels in the Wideband Regime , 2006, 2006 IEEE International Symposium on Information Theory.

[14]  C. Helstrom Image Restoration by the Method of Least Squares , 1967 .

[15]  Emre Telatar,et al.  Capacity and mutual information of wideband multipath fading channels , 1998, IEEE Trans. Inf. Theory.

[16]  Robert Spayde Kennedy,et al.  Fading dispersive communication channels , 1969 .

[17]  J. Nicholas Laneman,et al.  How Good is Phase-Shift Keying for Peak-Limited Rayleigh Fading Channels in the Low-SNR Regime? , 2005, ArXiv.

[18]  Wenyi Zhang,et al.  How Good Is PSK for Peak-Limited Fading Channels in the Low-SNR Regime? , 2008, IEEE Transactions on Information Theory.

[19]  H. Vincent Poor,et al.  On-Off Frequency-Shift Keying for Wideband Fading Channels , 2006, EURASIP J. Wirel. Commun. Netw..

[20]  Sergio Verdú,et al.  Spectral efficiency in the wideband regime , 2002, IEEE Trans. Inf. Theory.

[21]  Shlomo Shamai,et al.  Mutual information and minimum mean-square error in Gaussian channels , 2004, IEEE Transactions on Information Theory.

[22]  P. Bello Characterization of Randomly Time-Variant Linear Channels , 1963 .

[23]  Giulio Colavolpe,et al.  The capacity of noncoherent channels , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).