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of data in the direction of the terminal. It transports notably the SIB1-NB (Narrowband System Information Block) and some control information. SIB1-NB contains all the information useful for acquiring the other SIB blocks. Uplink DeModulation Reference Signal (DMRS) Dedicated to the estimation of the channel in the frequency domain on the uplink. Unlike the NRS, this signal is always multiplexed with data. It is thus only transmitted in the RUs containing the data. Narrowband Physical Random Access Channel (NPRACH) Dedicated to transmission of the preamble, which is the first signal transmitted by the terminal, to establish a connection to the network. Details of this channel are given in section 2.2.3. Narrowband Physical Uplink Shared Channel (NPDSCH) Used for the transmission both of user data and of control data. The distinction is made using two formats: format 1 and format 2, respectively.

      As in LTE, the network can define up to three levels of coverage extension (CE0, CE1 and CE2) to adapt to different radio conditions in which the terminals operate. These levels are defined across two power thresholds based on the power of the reference signal received by the NB-IoT (3GPP 2017a) terminals. Consequently, two thresholds can thus be defined per cell to configure the three levels of coverage. For each level, a number of repetitions of the signal are defined. The greater the power of the signal (less attenuation on the path), the lower the number of repetitions needed.

      Unlike the LTE standard that supports the full duplex mode, the choice of half duplex type-B FDD was taken in Rel-13 for NB-IoT (3GPP 2017b). The terminals are therefore either transmitting, or receiving, but cannot carry out both operations simultaneously. In addition, a guard sub-frame is envisaged for each change from the uplink to the downlink or vice versa.

      The NPRACH channel has been completely rethought in NB-IoT not only to improve network coverage and energy consumption but also to adapt to the narrow bandwidth of NB-IoT (Lin et al. 2016). Indeed, in LTE the PRACH channel alone occupies more bandwidth than NB-IoT occupies in its entirety (1.08 MHz vs. 180 kHz).

      Each NB-IoT terminal wishing to connect or resynchronize at the base station on the uplink after a long period of inactivity should execute a random access procedure. The first stage of this procedure consists of transmitting a preamble sequence on one of the frequency bands periodically allocated to the NPRACH channel. This is called Random Access Opportunity (RAO).

      Figure 2.3. Structure of a preamble sequence. For a color version of this figure, see www.iste.co.uk/chalouf/intelligent.zip

      For the purpose of extending coverage, the preamble can be repeated k times (k = 2i, i= 0, …, 7) (3GPP 2019b). The preamble sequence sent by the terminal is, consequently, formed of 4 × 2i group symbols. The network can thus define up to three different configurations of the NPRACH resource per cell, depending on the classes of coverage considered. The number of repetitions k is fixed times = 0, is thus defined for each of the configurations.

      Each group of symbols is modulated over a different sub-carrier to the others. The NPRACH channel uses only single tone mode with a spacing of 3.75 kHz. A frequency band of up to 48 sub-carriers can thus be allocated to this channel with a base band of 12 sub-carriers. Thus, 12, 24, 36 or 48 contiguous sub-carriers are allocated to this channel in each coverage class. Consequently, the terminal has 12, 24, 36 or 48 orthogonal preambles and chooses one at random to transmit.

      In addition, as illustrated in Figure 2.3, NB-IoT defines two jump models in the frequency band allocated to the NPRACH channel: (1) a fixed model for the jumps between the different groups of symbols forming the same preamble and (2) a pseudo-random model for repetitions of this preamble.

      Thus, within a preamble, a frequency jump is applied between the first and the second group symbols and between the third and the fourth symbols. Another jump of six frequencies is also applied between the second and the third group of symbols. The pseudo-random model is, for its part, applied though by choosing start sub-carrier indexes from different repetitions of the preamble, by taking the cell identifier and the number of repetitions expected (Lin et al. 2016) as input data.

      The random access procedure in NB-IoT, illustrated in Figure 2.4, is an exchange in four stages between the terminal and the base station (3GPP 2018b):

       – the terminal transmits the preamble chosen at the first RAO opportunity and sets a timer for reception of the RAR response;

       – if the preamble is clearly detected by the base station, the latter sends an RAR response conveying the timing advance and the allocated resource;

       – the base station performs conflict resolution and sends the identity of the winning terminal in the conflict resolution message. If the message does not arrive at the terminal, the terminal continues to await it until the timer expires;

       – the terminal then sends a connection request, by using the resource allocated to it and again sets a conflict resolution timer. This request, named msg3, conveys in particular the terminal identity.

Schematic illustration of the random access procedure.

      Figure 2.4. Random access procedure

      This procedure fails if the terminal does not receive one of two responses from the base station in the windows of time defined by the two timers. Collisions between preambles, sent by different terminals, are often the cause of failure. In fact, if two terminals or more choose the same preamble on the same ROA opportunity, each will see its access attempt fail.

      Each terminal for which the access procedure has failed observes a wait time chosen at random in a predefined interval and then retransmits its preamble. The number of retransmissions permitted depends on the terminal coverage class. If this number is reached and the terminal still does not succeed with the access procedure launched,

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