IEEE COMMUNICATIONS LETTERS, VOL. 18, NO. 2, FEBRUARY 2014 317
Channel Multiplexing Technique
Utilizing Electric and Magnetic Components of a Radio Wave
M. A. Nikravan, Student Member, IEEE, Hans G. Schantz, Senior Member, IEEE, Alfred H. Unden,
and Do-Hoon Kwon, Senior Member, IEEE
Abstract—A wireless channel multiplexing method which
makes use of the electric and magnetic field components of
an electromagnetic wave as separate information carriers is
presented. It is based on the observation that the rates of
attenuation for electric and magnetic fields with respect to
distance are different for electric and magnetic sources in the
near-field region. Capacity enhancement is obtained in free space
without any scattering. Measured indoor channels at 1 MHz
confirm capacity enhancement of the proposed 2 × 2 MIMO link
compared with the reference SISO link.
Index Terms—Dipole antennas, diversity methods, electromag-
netic coupling, information rates, multiplexing, MIMO systems.
I. I NTRODUCTION
M
ULTIPLE-input multiple-output (MIMO) technologies
take smart advantage of a scattering environment to
enhance the channel capacity in wireless communications
using multiple antennas on both the transmitter and receiver
sides [1], [2]. In rich scattering environments, the capacity
increases almost linearly with the number of antennas, signif-
icantly increasing the bandwidth efficiency compared with the
traditional single-input single-output (SISO) channels.
In current MIMO technologies, a scattering environment is
needed to reduce the correlation among received signals at the
antenna terminals of a receiving array. In the trivial free-space
setting, no practical multiplexing gain can be obtained. Even
the existence of a strong line-of-sight component significantly
reduces the MIMO channel capacity [3]. It has been found
that a multiplexing gain can be achieved only in a restricted,
controlled configuration in free space—a known distance
in a short range, large inter-element spacings, and specific
array orientations [3], [4]. It is noted that all current MIMO
technologies make use of the radiation phenomena, where the
transmitting and receiving arrays are in the far-field regions
of each other. The electric and magnetic fields carry exactly
the same information without exception.
This letter presents the channel capacity enhancement of a
2 × 2 near-field MIMO technique utilizing electric and mag-
netic fields as distinct information carriers based on measured
channels at 1 MHz. It takes advantage of the fact that the
Manuscript received November 21, 2013. The associate editor coordinating
the review of this letter and approving it for publication was K. K. Wong.
This work was supported by the National Science Foundation under Grant
No. 1217524.
M. A. Nikravan and D.-H. Kwon are with the Department of Electrical and
Computer Engineering, University of Massachusetts Amherst, Amherst, MA
01003, USA (e-mail: {nikravan, dhkwon}@ecs.umass.edu).
H. G. Schantz and A. H. Unden are with Q-Track Corporation, Huntsville,
AL 35805, USA (e-mail: {h.schantz, j.unden}@q-track.com).
Digital Object Identifier 10.1109/LCOMM.2013.122713.132588
electric and magnetic fields attenuate at different rates for
electric and magnetic radiators as a function of distance in the
reactive near-field region. This field multiplexing provides a
gain in free space for the same polarization. In this respect, the
multiplexing approach is different from [5], where a scattering
environment is required and a far-zone communication is
considered. When the proposed scheme is used as a diversity
communication technique, the resulting system will have a low
probability of link loss. This method was also investigated
in [6] from a different perspective, in which the channel
characteristics and consequently channel capacities of a 2 × 2
MIMO system are computed using mode-based analysis.
II. SMALL ELECTRIC AND MAGNETIC DIPOLE FIELDS
We begin with a brief overview of the fundamental free-
space near-field multiplexing technique that was discussed
in [7]. Consider a small electric dipole and a small magnetic
dipole with moments p
e
and p
m
radiating in free space at a
time-harmonic angular frequency ω. At an observation point
r =ˆ rr in the spherical coordinate system, the electric (E) and
magnetic (H) fields generated by p
e
are equal to [8]
E
e
=
jkZ
0
4π
e
-jkr
r
ˆ r × ˆ r × p
e
1 -
j
kr
-
1
(kr)
2
-
jkZ
0
2π
e
-jkr
r
ˆ r(ˆ r · p
e
)
j
kr
+
1
(kr)
2
, (1)
H
e
= -
jk
4π
e
-jkr
r
ˆ r × p
e
1 -
j
kr
, (2)
where k =2π/λ and Z
0
≈ 120π Ω. The fields E
m
, H
m
produced by the magnetic dipole moment are given in a similar
form using the duality theorem [8].
Let the complex wave impedances Z
e
and Z
m
represent
the ratio between the E and H fields that are transverse to
ˆ r. In Fig. 1, they are plotted with respect to r/λ (λ =
free-space wavelength). In the far-field region (r ≫ λ), the
two complex impedances are the same, i.e. Z
e
= Z
m
= Z
0
,
making the H field a scaled copy of the E field. For Z
e
and Z
m
to be distinguished in practice, the distance from
the antennas should be less than one wavelength, beyond
which they may be considered identical. This picture changes
dramatically in the near zone of an antenna, where both
quantities become functions of r. For example, Fig. 1(b)
shows that
Z
e
changes continuously from -90° to 0 as r
is increased. This characteristic has been exploited in a near-
field ranging application [9]. In general, the two impedances
satisfy Z
e
Z
m
= Z
2
0
. This implies that the total E and H fields
radiated by a combination of p
e
and p
m
contain different
amount of information transmitted by the two antennas.
1089-7798/14$31.00 © 2014 IEEE