Abstract—We introduce a novel method of digital modulation
with a high spectral efficiency, called the Angle (Exponentially)
Modulated M − ary Quadrature Amplitude Modulation (EM-
MQAM). The main advantage of EM-MQAM is an ability to
transmit a multilevel 2-D MQAM constellation as a constant
envelope signal. It makes EM-MQAM a preferred technique for
application in multipath fading channel since no amplitude
discrimination in the receiver is needed. The transmission
bandwidth and BER performance of EM-MQAM have been
analyzed. Despite of the fact that EM-MQAM requires as twice
as much of the transmit bandwidth compared to the conventional
MQAM, it provides reasonable trade-off between transmit
bandwidth and BER performance. Furthermore, EM-MQAM
requires just 1 dB of extra transmit power if the order of original
MQAM increases fourfold.
I. I NTRODUCTION
M-ary Phase Shift Keying (MPSK) and M-ary Quadrature
Amplitude Modulation (MQAM) are conventional well-
known modulation techniques providinghigh spectral
efficiency of data transmission over limited channel
bandwidth [1], [2]. By applying them at the given bit
transmission rate
b
R , the transmitted bandwidth can be
properly adjusted to available channel bandwidth by choosing
appropriate number of transmitted signal levels, which
exponentially depend on the number of mapping information
bits k, i.e.,
k
M 2 = . Both MPSK and MQAM have the same
spectral efficiency, where the latter is defined as a ratio of bit
rate to transmitted bandwidth.
The penalty of higher data transmission rate over band-
limited channel is an increasing of average transmitted power
required to maintain the same performance level expressed in
a Bit Error Rate (BER). As shown in [1], [2], [3], for the
AWGN channel the doubling of the level numbers requires
approximately 6 dB additional transmitted power for MPSK
and 3 dB for MQAM (M > 4). Hence, in terms of transmitted
power the MQAM outperforms MPSK, especially for the
large M; however, using MQAM in multipath fading
propagation environment, especially in the frequency selective
channel, leads to serious difficulties in reconstruction of
multiple amplitude levels by receiver due to large fluctuatio
in the received signal amplitude [1], [4]. Therefore, on the o
hand, detection of MPSK signal in a fading radio channel is
easier than MQAM due to constant envelope; on the o
hand, MQAM outperforms MPSK in BER performance i
AWGN channel. It would be very attractive to develop
modulation technique that has constantenvelope of
transmitted signal similar to MPSK, and at the same time th
BER performance similar to that of MQAM.
Recently, such kind of modulation technique, namely Ang
(Exponentially) Modulated M-ary Quadrature Amplitude
Modulation (EM-MQAM) was proposed [5]. EM-MQAM,
that includes either PM-MQAM or FM-MQAM [6], abso
the advantages of both MPSK and MQAM. EM-MQAM
accommodated to transmit the MQAM symbols with consta
envelop amplitude, and at the same time, it has the sp
efficiency and BER performance comparable to conventiona
MQAM.
In this paper we address the transmitted bandwidth of EM
MQAM both theoretically and by simulation. The BER
performance is obtained and analyzed. The paper organized
follows.Section II describes the EM-MQAMmodulation
technique. The Sections III and IV investigate the transmitt
bandwidth and BER performance. Section V summarizes ou
work.
II. PM-MQAM SIGNAL DESIGN
We refer to a general form of exponentially modulate
(EM) bandpass signal expressed as [1], [6]
)] ( 2 cos[ ) ( t t f A t
c c
ξ + π = ϕ (1)
where
c
A and
c
f are the carrier amplitude and the carrier
frequency, respectively, and ) (t ξ is a time varying angle
component defined as follows
°
°
¯
°
°
®
-
τ τ
= ξ
³
∞ −
, , ) (
, , ) (
) (
FM d m k
PM t m k
t
t
f
p
(2)
Performance Analysis of Angle Modulated
MQAM Transmission Techniques
Viktor V. Zaharov
Polytechnic University of Puerto Rico,
San Juan, Puerto Rico,
Email: vzaharov@pupr.edu
Alexander B. Kokhanov
Ukraine State Academy of Communications,
Odessa, Ukraine
Email: skoh@mail.ru
1-4244-0523-8/07/$20.00 ©2007 IEEE 520