Deterministic Identification for Molecular Communications Over the Poisson Channel

Salariseddigh MJ, Jamali V, Pereg U, Boche H, Deppe C, Schober R (2023)

Publication Type: Journal article

Publication year: 2023

Journal

IEEE Transactions on Molecular, Biological and Multi-Scale Communications IEEE

Pages Range: 1-1

DOI: 10.1109/TMBMC.2023.3324487

Abstract

Various applications of molecular communications (MC) are event-triggered, and, as a consequence, the prevalent Shannon capacity may not be the right measure for performance assessment. Thus, in this paper, we motivate and establish the identification capacity as an alternative metric. In particular, we study deterministic identification (DI) for the discrete-time Poisson channel (DTPC), subject to an average and a peak molecule release rate constraint, which serves as a model for MC systems employing molecule counting receivers. It is established that the number of different messages that can be reliably identified for this channel scales as 2(nlogn)R, where n and R are the codeword length and coding rate, respectively. Lower and upper bounds on the DI capacity of the DTPC are developed. The obtained large capacity of the DI channel sheds light on the performance of natural DI systems such as natural olfaction, which are known for their extremely large chemical discriminatory power in biology. Furthermore, numerical results for the empirical miss-identification and false identification error rates are provided for finite length codes. This allows us to characterize the behaviour of the error rate for increasing codeword lengths, which complements our theoretically-derived scale for asymptotically large codeword lengths.

Authors with CRIS profile

Robert Schober Lehrstuhl für Digitale Übertragung

Involved external institutions

Technische Universität München (TUM) DE Germany (DE) Princeton University US United States (USA) (US) Technion - Israel Institute of Technology IL Israel (IL)

How to cite

APA:

Salariseddigh, M.J., Jamali, V., Pereg, U., Boche, H., Deppe, C., & Schober, R. (2023). Deterministic Identification for Molecular Communications Over the Poisson Channel. IEEE Transactions on Molecular, Biological and Multi-Scale Communications, 1-1. https://dx.doi.org/10.1109/TMBMC.2023.3324487

MLA:

Salariseddigh, Mohammad Javad, et al. "Deterministic Identification for Molecular Communications Over the Poisson Channel." IEEE Transactions on Molecular, Biological and Multi-Scale Communications (2023): 1-1.

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