Capacity Bounds for Amplitude-Constrained AWGN MIMO Channels with Fading

We evaluate capacity bounds for multiple-input multiple-output (MIMO) additive white Gaussian noise (AWGN) fading channels subject to input amplitude constraints. We focus on two practical cases, in which the transmitter: (i) employs a single antenna amplifier, which induces a constraint on the norm of the input vector, and (ii) it employs multiple amplifiers, one per antenna, which leads to independent constraints on the amplitude of each input vector entry. For both cases, we evaluate the asymptotic capacity gap between upper and lower bounds at high signal-to-noise ratio.

[1]  Sergey Loyka,et al.  The Capacity of Gaussian MIMO Channels Under Total and Per-Antenna Power Constraints , 2016, IEEE Transactions on Communications.

[2]  Joel G. Smith,et al.  The Information Capacity of Amplitude- and Variance-Constrained Scalar Gaussian Channels , 1971, Inf. Control..

[3]  Andrew Thangaraj,et al.  Capacity Bounds for Discrete-Time, Amplitude-Constrained, Additive White Gaussian Noise Channels , 2015, IEEE Transactions on Information Theory.

[4]  Shlomo Shamai,et al.  Upper and Lower Bounds on the Capacity of Amplitude-Constrained MIMO Channels , 2017, GLOBECOM 2017 - 2017 IEEE Global Communications Conference.

[5]  Shlomo Shamai,et al.  The capacity of average and peak-power-limited quadrature Gaussian channels , 1995, IEEE Trans. Inf. Theory.

[6]  Tolga M. Duman,et al.  On the Capacity of Multiple-Antenna Systems and Parallel Gaussian Channels With Amplitude-Limited Inputs , 2016, IEEE Transactions on Communications.

[7]  Bruno Clerckx,et al.  On the capacity of vector Gaussian channels with bounded inputs , 2014, 2015 IEEE International Conference on Communications (ICC).

[8]  Andrew L. McKellips,et al.  Simple tight bounds on capacity for the peak-limited discrete-time channel , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..