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T
he majority of existing wireless communication
systems relies on training-based signaling, i.e.,
schemes that rely on accurate channel estimates
for detecting the transmitted symbols. Training
requires its own hardware and algorithms and consumes
a significant portion of the channel coherence interval,
which is typically short in vehicular communications.
The drawbacks of training can be alleviated by using non-
coherent signaling schemes, which dispense with the
training phase altogether. We will focus on a particular
class of such schemes, i.e., Grassmannian signaling. This
scheme is optimal for high signal-to-noise ratio (SNR)
communication over noncoherent block-fading channels,
which are likely to arise in many future networks.
Training-based signaling requires the receiver to ob-
tain reliable channel estimates prior to detecting the
transmitted symbols [1]. However, when the number of
wireless nodes becomes large, as in the prospective par-
adigms of machine-type communications (MTCs) and
the Internet of Things (IoT), acquiring channel estimates
constitutes a formidable task, especially for multiple-
input, multiple-output (MIMO) systems. For these para-
digms, a viable alternative is offered by noncoherent
signaling, which does not require the receiver to have
access to channel estimates.
In comparison with their training-based counterparts,
noncoherent schemes feature several advantages. First,
they dispense with the hardware and the algorithms re-
quired for learning the channel. To appreciate this, we
note that, for the urban microcell (UMi) long-term evolu-
tion (LTE) scenario of a user terminal operating at 1.8
GHz and traveling at 25 km/h, the channel coherence
time is about eight symbol durations of 71.4 s n each.
Using a four-antenna 3rd Generation Partnership Project
training-based system to communicate in this scenario
consumes 14.3% of the resources for training [2]; a cost
that can be avoided by noncoherent signaling. Second,
noncoherent schemes offer the potential of achieving
higher spectral efficiencies. We will elaborate on this
aspect later in this article. Third, noncoherent signaling
alleviates one of the key problems that arise in massive
MIMO cellular systems. In these systems, each base sta-
tion (BS) is equipped with a large number of antennas,
whereas the users are each equipped with a small num-
ber of antennas. When training-based schemes are used
in the uplink of these systems, multiple neighboring cells
will reuse the same training pilots. The received signals
corresponding to these pilots interfere, resulting in pilot
contamination. Hence, using noncoherent signaling in
Digital Object Identifier 10.1109/MVT.2018.2866306
Date of publication: 4 January 2019
NONCOHERENT MIMO
SIGNALING FOR BLOCK-
FADING CHANNELS
Approaches and Challenges
Ramy H. Gohary and Halim Yanikomeroglu