Low SNR Capacity of Noncoherent Fading Channels

Abstract

Discrete-time Rayleigh fading single-input single-output (SISO) and multiple-input multiple-output (MIMO) channels are considered, with no channel state information at the transmitter or the receiver. The fading is assumed to be stationary and correlated in time, but independent from antenna to antenna. Peak-power and average-power constraints are imposed on the transmit antennas. For MIMO channels, these constraints are either imposed on the sum over antennas, or on each individual antenna. For SISO channels and MIMO channels with sum power constraints, the asymptotic capacity as the peak signal-to-noise ratio tends to zero is identified; for MIMO channels with individual power constraints, this asymptotic capacity is obtained for a class of channels called transmit separable channels. The results for MIMO channels with individual power constraints are carried over to SISO channels with delay spread (i.e. frequency selective fading).

submitted to IEEE IT

References in corpus (5)

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• On the Low SNR Capacity of Peak-Limited Non-Coherent Fading Channels with Memory
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Cited by in corpus (9)

• Noncoherent Capacity of Underspread Fading Channels
• Unified Capacity Limit of Non-coherent Wideband Fading Channels
• A Queueing Characterization of Information Transmission over Block Fading Rayleigh Channels in the Low SNR
• Capacity scaling in a Non-coherent Wideband Massive SIMO Block Fading Channel
• On the Achievable Rate of Stationary Rayleigh Flat-Fading Channels with Gaussian Inputs
• On Noncoherent Fading Relay Channels at High Signal-to-Noise Ratio
• Capacity Scaling of Cellular Networks: Impact of Bandwidth, Infrastructure Density and Number of Antennas
• Analysis of 1-bit Output Noncoherent Fading Channels in the Low SNR Regime
• On Capacity and Capacity per Unit Cost of Gaussian Multiple Access Channel with Peak Power Constraints