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Performance Analysis of Transmission Rate and Decoding Rate Using Minimum Energy Channel Codes for Nanoscale Wireless Communication

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Abstract

An energy efficient communication system is required for the improvement of nanoscale wireless communication. In this paper, we defined minimum energy coding scheme (MEC) to achieve energy efficiency in wireless nanosensor network. MEC maintains the desire code distance to provide reliability and better decoding probability, while requiring less energy to transmit bits of information. We proposed a relationship between transmission rate and decoding rate which is significant for minimum energy channel codes in nanoscale wireless communication. We investigated the performance evaluation of code length limited and energy limited transmission rates on the source cardinality which ensures that for any value of code distance, code length limited transmission rate will be decreased in regard to increasing the value of source cardinality and vice versa for energy limited transmission rate. We studied the optimum value of transmission rate and decoding rate which confirms that if the number of carriers is increased n times, then the optimum transmission and decoding rate would also be increased n times. We also studied the performance evaluation of code distance which is inversely propotional to transmission distance and correct decoding probability. Further, we examined the dependance of average energy per bit which is proportional to symbol duration and bandwidth. On the contrary, spectral efficiency is inversely proportional to symbol duration. We strongly believe that our proposed relationship between transmission rate and decoding rate accompanied by the performance evaluation of various parameters will improve the nanoscale wireless communication system.

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Fig. 1

source cardinality where l = 1

Fig. 2

source cardinality where l = 1

Fig. 3

source cardinality where l = 10

Fig. 4

source cardinality where l = 10

Fig. 5

source cardinality where l = 50: a code length limited transmission rate; b energy limited transmission rate

Fig. 6

source cardinality for various carriers: a code length limited transmission rate; b energy limited transmission rate

Fig. 7

source cardinality for various carriers: (a) − (c):—code length limited rate:—(a) single carrier, (b) 10 carriers, (c) 50 Carriers; (d) − (f):—energy limited rate:—(d) single carrier, (e) 10 carriers, (f) 50 Carriers

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Fig. 9

source cardinality: code distance:-(a) 1; (b) 3

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The data supporting the findings of this study and its supplementary materials are maximum available within the manuscript and others not to disclose.

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This work was not supported by anyone. It was our own work.

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Authors and Affiliations

  1. Department of Information and Communication Engineering, Noakhali Science and Technology University, Noakhali, 3814, Bangladesh

    Apurba Adhikary & Bipul Hossain

  2. Electronics and Communication Engineering Discipline, Khulna University, Khulna, 9208, Bangladesh

    Apurba Adhikary, Rabita Hasan, Khalid Hossen & Chandra Shekhar Kundu

  3. School of Computer Science, University of Electronic Science and Technology of China, Chengdu, China

    Khalid Hossen

  4. Department of Electronics and Telecommunication Engineering, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Dhaka, 8100, Bangladesh

    Rabita Hasan

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  1. Apurba Adhikary
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Adhikary, A., Hasan, R., Hossen, K. et al. Performance Analysis of Transmission Rate and Decoding Rate Using Minimum Energy Channel Codes for Nanoscale Wireless Communication. Wireless Pers Commun 118, 1343–1364 (2021). https://doi.org/10.1007/s11277-021-08079-x

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