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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Design and FPGA Implementation of a Low Power OFDM Transmitter for Narrow-Band IoT</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Gian Carlo Cardarilli</string-name>
          <email>g.cardarilli@uniroma2.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Luca Di Nunzio</string-name>
          <email>di.nunzio@ing.uniroma2.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Rocco Fazzolari</string-name>
          <email>fazzolari@ing.uniroma2.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Riccardo La Cesa</string-name>
          <email>riccardo.lacesa@alumni.uniroma2.eu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marco Re</string-name>
          <email>re@ing.uniroma2.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Figure 1: Main transmission features of NB-IoT</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <addr-line>Keywords 5G, FPGA, OFDM, NB-IoT</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Rome Tor Vergata</institution>
          ,
          <addr-line>Via del Politecnico 1, Rome, 00133</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <fpage>60</fpage>
      <lpage>65</lpage>
      <abstract>
        <p>5G technology is now globally widespread. One of the most interesting applications that this technology ofers concerns the "Internet of Things", better known as IoT which gave birth to several new technologies such as the Narrow-Band IoT (NB-IoT). These technologies provide a communication standard for wide areas and its main feature is low power consumption. In this paper the design and the FPGA implementation of a low-power OFDM transmitter for NB-IoT applications is proposed. It is mainly composed of a QPSK Mapper, a 12-points IFFT and a Cyclic Prefix Module. The whole developed system has been implemented on a Xilinx Spartan-7 device and it has been characterized in terms of hardware resources, timing, and power consumption.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        In these last decades, IoT is expanding into various fields
allowing the creation of intelligent environments such as
smart cities and smart buildings as well as autonomous
vehicles [1]. This is made possible thanks to the birth
of the fifth-generation technology of mobile telephony
also known as 5G which has the target to obtain greater
eficiency and versatility through better improved mobile
device management skills, higher speed, lower latency
between sent signal and available output [2, 3]. The 5G
technology gives the possibility to connect a massive
amount of devices [4] and having, as consequence, a
huge amount of data to manage. For this purpose
several communication architectures have been proposed
in the literature [
        <xref ref-type="bibr" rid="ref10">5</xref>
        ]. Nevertheless, the problem of
bigdata generated by IoT devices, is often faced with the
help of several algorithms of Artificial Intelligence (AI).
      </p>
      <p>Usually, for the development of intelligent environments
[6, 7, 8] the IoT uses low-speed data transmission
services defined LPWAN (Low-Power Wide-Area Network).</p>
      <p>
        The NB-IoT is an LPWAN technology proposed by 3GPP,
the international standards organization [
        <xref ref-type="bibr" rid="ref24">9</xref>
        ]. The NB-IoT
supports massive device connections guaranteeing
ultralow power consumption, wide area coverage and
bidirectional triggering between signaling plane and data plane.
      </p>
      <p>
        The main features of this technology [
        <xref ref-type="bibr" rid="ref46 ref6">10</xref>
        ] are shown in
      </p>
      <p>Fig. 1 and discussed below.</p>
      <p>The bandwidth of the physical layer is 180 kHz. In the
down-link, it adopts Orthogonal Frequency-Division
Multiplexing (OFDM) with Quadrature Phase-Shift Keying
(QPSK) sub-carriers. Modem BPSK or QPSK are adopted
with sub-carrier interval of 15 kHz or 3.75 kHz. To have
the bandwidth of 180 kHz 12 sub-carriers are defined
spaced by 15 kHz and 48 sub-carriers must be used when
they are spaced by 3.75 kHz. In this paper the 12
subcarriers transmission will be debated [11]. The aim of our fly diagram as a sequence of radix2, 4 and 3 IFFT from
work is the FPGA implementation of a low-power/low- which the subsequent architecture will be derived (see
area OFDM modulator for NB-IoT. Since the critical part Fig. 2)[18].
of the transmitter is the 12-points IFFT, starting from an
algorithm proposed in [12], we developed an architecture
eficient in terms of power and area. OFDM numeric
modulation is widely used for ADSL, DVB-T, WiFi, WiMAX
transmission, and in 802.11a, 802.11n 802.11ac standards.</p>
      <p>Behind this modulation there is the use a series of
orthogonal sub-carriers with diferent frequencies, each
one carrying a part of the information. Each sub-carrier
is modulated with the common BPSK or QPSK
modulation. For NB-IoT OFDM, the symbol time is fixed to
 = 66.7 . The sampling is carried out with a period
iosfs uesinOFDM= modu1latioℎn a=re 5th.5eIn.teTrw-CoarirmieproIrntatenrt- Figure 2: Butterfly diagram for the realization of a 12-point
ference (ICI) [13] and the Inter-Symbol Interference (ISI) FFT complete with operations to be carried out, multiplicative
[14]. To overcome these problems, techniques for adding coeficients and explaining all the stages.
redundancy symbols such as the Cyclic Prefix (CP) are
used [15]. The CP used in OFDM modems for NB-IoT is
the "normal" cyclic prefix used for LTE transmissions. In 2.2. IFFT Stage Structure
this case, the bandwidth is so short then the CP is made
of few samples since there will be a low inter-carrier in- The parallel 12-points architecture shown in Fig.2 is not
terference. For LTE technologies the CP has a duration necessary the best choice for a NB-IoT OFDM modulator.
of 5.5 which is exactly the sample time, this means it This is due to the slow data rate of the standard,and, as
is suficient to add only a single sample of each OFDM consequence, there is not any necessity of parallel IFFT
symbol. implementation. Parallel implementations are very
useful in case of fast data rate, vice versa, in case of slow
data-rate, serial architectures are preferred in order to
2. OFDM modem with a 12-points reduce hardware resources. Let’s consider that all the
IFFT more IoT devices as sensor nodes acquire data serially
from ADC. For this reason, starting from the architecture
2.1. IFFT Butterfly Diagram shown in Fig. 2 we develop a serial IFFT. Serialization has
been obtained by inserting dual port RAMs between each
One of the characteristics that allowed OFDM modulation IFFT/FFT stage. These dual port RAMs have been used
to develop and spread for most of the transmissions is the to implement the double bufering (ping-pong) operation
eficiency in its digital implementation. The output mod- on data coming from the previous stage. According to
ulation is proportional to the IFFT (Inverse Fast Fourier the NB-IoT standard, the transmitter was realized by
inTransform) of the input components. The structure of serting a QPSK modulator at the input of the IFFT. At the
an IFFT-based OFDM transmitter modulator is formed output of the IFFT, another dual-port RAM
implementof the succession of a Mapper, a block that performs the ing the double bufering technique has been inserted, to
IFFT followed by one that adds the cyclic prefix [ 16]. The realize the cyclic prefix required by the standard. The
most popular FFT algorithm is the Cooley-Tukey algo- block diagram of the proposed architecture is shown in
rithm which is based on the Divide et impera principle Fig. 4. It is interesting to focus on the realization of the
and which recursively breaks a DFT of any size  into individual stages of the IFFT. Being a series of 2, 4 and
smaller DFTs [17]. Usually this is done on samples of 3-points IFFTs, each stage will have to be custom-made
length equal to a power of 2 and therefore with  = 2. following a basic architecture shown in Fig. 3 [19].
As discussed in the introduction, the NB-IoT requires an Each stage consists of a dual-port RAM in which the
samOFDM modulation with 12 sub-carriers. For this reason, ples are saved and at the same time two samples are read
it is required an  = 12 points IFFT. Since  = 12 and used for the elaboration. The simultaneous reading
N is not a power of 2, the traditional Cooley-Turkey al- and writing are carried out through the double
bufergorithm cannot be used. To solve this issue in [12] the ing technique and the reading and writing addresses are
authors propose an architecture that uses a combination saved inside a ROM. The read data are used to perform
of two algorithm: the Cooley-Turkey and the Split Radix complex multiplication with the IFFT twiddle factors
Algorithm for length 6 IFFT realizing a custom butter- stored in a ROM. Finally, the samples enter an adder and
are serialized with a multiplexer to be saved in the next
ROM. Outside this scheme, there are the control signals
generated by an FSM.
3. Experimental Results
sumption estimation on all the FPGAs involved in our
experiments. In a second step, we perform a more
accurate power consumption estimation on the xc7s6cpga196
using the SAIF files containing information about the
switching activity. The system has been tested by
generating at its input random 2 bit symbols. In Tab.1 and
Tab.2 implementation results are shown. Such results
refer to the implementation with a a timing constraints of
5.5 that is the minimum value to respect the NB-IOT
specifications.
The proposed architecture shown in Fig.4 has been
simulated in SIMULINK. The Fixed point analysis has been
performed to size all the algebraic elements of the system
(multipliers, adders, etc.). We sized the entire system
to assure a certain MER (Modulation Error Ratio). In Table 2
fact, the quantization error due to the truncation of al- Utilization
gebraic operators implies an enlargement of the QPSK
constellations points, this efect can be treated as MER Utilization
degradation. The MER is the measure of the signal-to- Resource Utilization Avaible % Utilization
noise ratio (SNR) in digital modulation applications. We LUT 1050 3750 28.00
targeted our system in order to have a quantization noise LUTRAM 259 2400 10.79
that introduces a MER degradation not more that 20dB. FF 648 7500 8.64
Fixed-point simulation results show that 8 bit for any IO 23 100 23.0
multiplier and adder is suficient to obtain the MER of 20 BUFG 1 16 6.25
dB as depicted in (Fig. 5).</p>
      <p>
        Considering this reduced number of bits required for the
multiplications and considered that all products are per- In Fig.6 is shown the hierarchical power report
proformed with constant values (the IFFT twiddle factors), it viding dynamic power consumption information for each
is possible to avoid the use of FPGA internal DSP blocks stage of the proposed OFDM modulator, results are shown
by implementing multiplications with shift and additions. in percentage considering the total dynamic power
disThank to this optimization, power consumption is re- sipated as 100%. The third IFFT stage is the one
charduced and DSP blocks are not wasted. This latter aspect acterized by greater dynamic power consumption. This
is very important because it allows preserving DSP block is an expected result as it is the stage that contains the
for other application as for example Machine-Learning greatest number of multiplications and consequently it
and other and in general, applications demanding high- is the most complex in terms of area.
performance computing [20],[21],[22],[23],[24],[
        <xref ref-type="bibr" rid="ref19">25</xref>
        ] that,
nowadays, is always more used in IoT nodes and it re- 3.1. Power and Energy Trend in
quires a great number of multiplications. Frequency
      </p>
      <p>In this paper, we present the results obtained on the
Spartan-7 xc7s6cpga196-2 FPGA that is one of the cheap- Because power consumption represents one of the most
est Xilinx device and, consequently, one of the most in- important aspects of IoT Nodes, the proposed OFDM
teresting for the realization of low-cost IoT nodes. The transmitter has been characterized in terms of energy.
transmitter has been characterized in terms of resources Several implementations using diferent clock constraints
utilization and power consumption that are crucial aspect have been realized. In this way, it has been possible to
for IoT nodes [26]. Power analysis has been performed characterize the energy consumption for every
impleinitially without any Switching Activity Interchange For- mentation. Energy consumption has been estimated in
mat File (SAIF) in order to have a coarse power con- terms of energy per OFDM symbol according to Eq 1,
where  is the power estimated through
post-implementation simulations taking into account the real
switching activities of nodes contained in the SAIF files provided
to the power estimator, N is the number of clock cycles
required to obtain an OFDM symbol that in our case is 13
(12 for the IFFT computation and 1 for the cyclic prefix)
and finally Tc is the Clock period. The frequency range
was chosen to start from the maximum frequency that
allows the correct operation of the circuit, which turned
out to be 125MHz, decreasing it progressively. We started
from the highest frequency to observe the trend of the
maximum power and energy used by the transmitter. The
results obtained are shown in Tab. 3 and in the graph in
Fig. 7. Results show dynamic power increasing linearly
with the increasing of the frequency in accordance with
Eq. 2.</p>
      <p>=  *  *  * 2</p>
      <p>(2)
where a is the switching activity, C is the switching
capacitance, f is the clock frequency and  the supply
voltage.</p>
      <p>Note that at varying of clock frequency, the energy per
OFDM-symbol remains about the same. This aspect
suggests that the same architecture is synthesized by the
tool without the necessity to introduce/duplicate new
hardware for reaching high frequencies.</p>
    </sec>
    <sec id="sec-2">
      <title>4. Conclusion</title>
      <sec id="sec-2-1">
        <title>The paper proposes a low-power FPGA implementation</title>
        <p>of an NB-IoT OFDM transmitter. The proposed
architecture has been developed in VHDL and implemented on a
Xilinx FPGA. Results are provided in terms of utilization
resources and power consumption. For what concerns</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>5. Acknowledgments</title>
      <sec id="sec-3-1">
        <title>The authors would like to thank Xilinx Inc. for providing</title>
        <p>FPGA hardware and software tools by Xilinx University
Program.
this latter, power characterization has been provided
taking into account the energy dissipated for an OFDM
symbol transmission. Results show a very reduced utilization
of resources and power consumption. These two aspects
are very important for IoT nodes that are characterized
by strict energy consumption requirements and low cost
.</p>
      </sec>
    </sec>
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