The SIMO Block Rayleigh Fading Channel Capacity Scaling with Number of Antennas, Bandwidth and Coherence Length

12/20/2022
by   Felipe Gómez-Cuba, et al.
0

This paper studies the capacity scaling of non-coherent Single-Input Multiple-Output (SIMO) independent and identically distributed (i.i.d.) Rayleigh block fading channels versus bandwidth (B), number of receive antennas (N) and coherence block length (L). In non-coherent channels (without Channel State Information –CSI) capacity scales as Θ(min(B,√(NL),N)). This is achievable using Pilot-Assisted signaling. Energy Modulation signaling rate scales as Θ(min(B,√(N))). If L is fixed while B and N grow, the two expressions grow equally and Energy Modulation achieves the capacity scaling. However, Energy Modulation rate does not scale as the capacity with the variable L. The coherent channel capacity with a priori CSI, in turn, scales as Θ(min(B,N)). The coherent channel capacity scaling can be fully achieved in non-coherent channels when L≥Θ(N). In summary, the channel coherence block length plays a pivotal role in modulation selection and the capacity gap between coherent and non-coherent channels. Pilot-Assisted signaling outperforms Energy Modulation's rate scaling versus coherence block length. Only in high mobility scenarios where L is much smaller than the number of antennas (L≪Θ(√(N))), Energy Modulation is effective in non-coherent channels.

READ FULL TEXT
research
11/22/2019

Capacity scaling in a Non-coherent Wideband Massive SIMO Block Fading Channel

The scaling of coherent and non-coherent channel capacity is studied in ...
research
02/23/2021

Performance Improvement of LoRa Modulation with Signal Combining

Low-power long-range (LoRa) modulation has been used to satisfy the low ...
research
10/01/2022

(Non)-Coherent MU-MIMO Block Fading Channels with Finite Blocklength and Linear Processing

This paper studies the coherent and non-coherent multiuser multiple-inpu...
research
09/16/2023

Differential Modulation for Short Packet Transmission in URLLC

One key feature of ultra-reliable low-latency communications (URLLC) in ...
research
08/18/2022

Linear shrinkage receiver for slow fading channels under imperfect channel state information

This paper studies receiver design in single-input multiple-output (SIMO...
research
10/17/2018

Covert Capacity of Non-Coherent Rayleigh-Fading Channels

The covert capacity is characterized for a non-coherent fast Rayleigh-fa...
research
02/07/2018

On Capacity of Non-Coherent Diamond Networks

There is a vast body of work on the capacity bounds for a "coherent" wir...

Please sign up or login with your details

Forgot password? Click here to reset