Page 70 - ITU Journal Future and evolving technologies Volume 2 (2021), Issue 3 – Internet of Bio-Nano Things for health applications
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ITU Journal on Future and Evolving Technologies, Volume 2 (2021), Issue 3




          Besides, a comparison with Viterbi sequence detection   3.2 Mobile nano‑machines in  low‑induced
          was also presented in [31].                                diffusive channel
          Further, the work in [149] proposed an ANN‑based detec‑   3.2.1  Single transmitter and single receiver‑
          tion  scheme  using  Broyden–Fletcher–Goldfarb–Shanno       based mobile MC systems
          (BFGS) algorithm where received signal was  iltered then
          the  iltered signal, slope values and the concentration dif‑   A quaternary modulation scheme for reducing ISI was
          ference values of the  iltered signal were used for training   proposed in [121], where type‑A and type‑B molecules
          and detection by the NN. Filtering the received signal was   were used for transmission. In this scheme, no molecules
          done by partitioning the bit interval into P  equal subin‑   were sent for symbol [0 0], type‑A molecules were sent for
          tervals and averaging the signal in each partition as de‑   [0 1], type‑B molecules were sent for [1 0], and both types
          scribed below.                                       molecules were sent for symbol [1 1]. This scheme was
                                                               termed as Depleted‑MoSK (D‑MoSK). For decoding pur‑
                                jN s +high
                             1    ∑                            poses, maximum likelihood detection was used at the re‑
                       ϕ i =            y j [k],      (15)
                            N p                                ceiver. Individual thresholds for both types of molecules
                               k=jN s +low
                                                               were used at the receiver e.g. if the number of type‑A
          where i = 0, 1, 2, · · · , P −1 and N p is the number of sam‑  molecules was above a certain threshold t a and the num‑
          ples within a partition. The low and high parameters are
                                                               ber of type‑B molecules was less than the threshold t b
          de ined as, low = iN p and high = (i + 1)N p − 1 for  then the transmitted symbol was decoded as [0 1].
          ϕ i . Using (15), the  iltered signal in jth bit interval can be
          written as ϕ j ϕ j ϕ j = [ϕ 0 , ϕ 1 , · · · , ϕ P −1 ]. Based on this  iltered  On similar lines, other symbols were decoded. Simulation
          signal, the slope vector s j s j s j and concentration difference  results showed that the D‑MoSK modulation scheme re‑
          [146] vectord j d j d j can be obtained ass j s j s j = [s 0 , s 1 , · · · , s P −2 ],  sulted in a better BER performance than MoSK. Further,
          where s i = ϕ i+1 − ϕ i and d j d j d j = [d 0 , d 1 , · · · , d P −2 ], where  a novel modulation based on permutation of different
          d i = ϕ i+1 − ϕ 0 . Thus, the features z j z j z j (input to the detec‑  molecules was proposed in [153] to achieve better perfor‑
          tor) for the three different techniques were based on (a)  mance than D‑MoSK in the presence of strong ISI. In this
          the  iltered signal, (b) slope, and (c) concentration differ‑  modulation scheme, different types of molecules were
          ence:                                                sent at different instants within a symbol duration. If M
                                                              different types of molecules are chosen then M! permuta‑
                 ϕ j ϕ j ϕ j                    for (a),
                                                              tions exist and in this case a total ⌊log M!⌋ bits per sym‑
                                                                                               2
            z j z j z j =  [s 0 , s 1 , · · · , s P −2 , E(s j s j s j ), var(s j s j s j )]  for (b),  bol can be sent. At the receiver, maximum likelihood de‑
                
                
                   [d 0 , d 1 , · · · , d P −2 , E(d j d j d j ), var(d j d j d j )]  for (c),  tection was performed. This modulation scheme achieved
                                                      (16)     better BER performance than MoSK and D‑MoSK schemes
          where E(·) and var(·) denote the expectation and the vari‑  for a large ratio of number of transmitted molecules to in‑
          ance. In this work, the transmitted bits are represented in  formation bits per symbol.
                                                  T
          the following manner. For bit‑0, p j p j p j = [0  1] and for
                         T
          bit‑1, p j p j p j = [1  0] . Note that the values inside p j p j p j repre‑  In [154], a nano‑sensor network for in‑body applications
          sent the Probability Mass Function (PMF) of the transmit‑  has been proposed in which various nano‑machines used
                                                     P P
          ted bit. If L consecutive bits are transmitted then P L L L =  repellent molecules to move away from one another. This
          [p 1 p 1 p 1 ,p 2 p 2 p 2 , · · · ,p L L L ] represents the sequence of transmitted  process is suitable for searching a target inside the body.
                   p p
                                 z
          bits and Z L L L = [z 1 z 1 z 1 ,z 2 z 2 z 2 , · · · ,z L L z L ] be the corresponding fea‑  Further, attractant molecules were used by the nano‑
                 Z Z
          turesthenthe trainingdata setis representedby(P L L L ,Z L L L ).  machines to come closer once the target is detected. In
                                                      Z Z
                                                   P P
                                                                                     12
          The output of the NN is the vector ˆ p p p j j j  = NN(z j z j z j ;W W W),  this work, a non‑diffusion ‑based MC has been assumed
          where W W W represents the weights and biases in the NN. Fi‑  and the gradient of adhesive molecules which could bind
          nally, the bits are estimated according to the following cri‑  to the inner wall of the blood vessel were used for guid‑
          terion                                               ing the mobile nano‑machines. This kind of coordination
                                                               can be useful where loss of molecules due to diffusion is
                         ˆ b j = arg max b j ϵS ˆ p p p ,  (17)
                                         j j j                 high. More speci ically, the aim of this work was to eval‑
                                               T
          where ˆ p p p = [Pr(b j = 1|z j z j z j ) Pr(b j = 0|z j z j z j )] is the esti‑  uate the number of nano‑machines near to the target and
                j j j
          mated PMF vector.                                    the number of nano‑machines hitting the target.
                                                               Furthermore, a leader follower‑based MMC has been dis‑
          Furthermore, a detection scheme based on Generative‑
          Adversarial‑Network (GAN) has been proposed in [150].  cussed in [155]. After  inding the target location, the
          This network learned from the channel transition prob‑  leader nano‑machines released adhesive molecules which
          ability. For  ine tuning the transition probabilities, the  could be sensed by the follower nano‑machines for mov‑
          scheme in [150] combined the use of pilot symbols and  ing towards a target (e.g., cancer cells) for various pur‑
          generating training data in real time to track time‑varying  poses such as drug delivery etc. Maximum likelihood esti‑
          channels.  Most importantly, this scheme avoids re‑  12 In non‑diffusion‑based MC, molecules disperse quickly in the environ‑
          training the network from the beginning.               ment, which has dominant  low and limited diffusion.



          58                                © International Telecommunication Union, 2021
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