Error Probability of a Multipath Communication Channel With Inaccurate Estimation of the Impulse Characteristic of Such Channel
Keywords:error probability, impulse characteristic, normalized standard deviation, communication channel model, multipath communication channel, one-path channel with Rayleigh fading, two-path channel with constant parameters
The possibility of error in the case of imprecise estimation of the impulse characteristic of a multipath channel is investigated in the article. The study was carried out for a multipath communication channel of discrete channel models, which corresponds to the mapping of a continuous two-path channel onto a discrete channel with an impulse characteristic. Numerical results of calculations are obtained, which can be used to calculate the error probability in the cases indicated in the article, which differ in the ratio of the amplitudes of the interfering beams. Formulas for calculating probability integrals are presented in the article. The influence of the accuracy of estimating the components of the impulse characteristic vector on the error probability in a two-beam channel with constant parameters is studied. The results of a study of the influence of the communication channel model on the error probability for different models of the communication channel for 8PSK modulation are also presented. With the ``deterioration'' of the type of the channel impulse characteristic (an increase in the number of channel amplitude-frequency characteristic dips in the signal band and an increase in their depth), the decrease in the error probability characteristic due to begins at lower estimation error values. The results of studying the error probability of 8PSK and 64QAM signals in a single-beam channel with Rayleigh fading are presented. It is determined that the influence of errors becomes more noticeable with an increase in the signal-to-noise ratio in the channel and with an increase in the number of dips in the amplitude-frequency characteristic of the channel in the signal band and an increase in their depth.
Pochernyaev V., Zaichenko V. (2019). Struggle against intersymbol interference by using equalizers and orthogonal time-division multiplexing. Control, Navigation and Communication Systems. Academic Journal, Poltava: PNTU, Vol. 4, Iss. 56, pp. 141-145. doi:10.26906/SUNZ.2019.4.141.
Pochernyaev V., Zaichenko V., Povhlib V. (2021). System of management, control and diagnostic for the combined radio engineering system. Control, Navigation and Communication Systems. Academic Journal, Poltava: PNTU, Vol. 2, Iss. 64, pp. 161-165. doi:10.26906/SUNZ.2021.2.161.
Proakis J. G., Salehi M. (2008). Digital Communications, 5th ed. McGraw-Hill Higher Education, p. 1170.
Ayedi M., Sellami N., Siala M. (2016). Efficient nodes identification based on embedded signaling using the fast Walsh Hadamard transform in multi-sources multi-relays systems. International Symposium on Networks, Computers and Communications (ISNCC), pp. 1-5. DOI:10.1109/ISNCC.2016.7746105.
Bastos L., Wietgrefe H. (2012). Tactical troposcatter applications in challenging climate zones. Military communications conference (MILCOM), p. 1-6. DOI:10.1109/MILCOM.2012.6415601.
Bastos L., Wietgrefe H. (2013). A Geographical Analysis of Highly Deployable Troposcatter Systems Performance. IEEE Military communications conference (MILCOM), pp. 661- 667. DOI:10.1109/MILCOM.2013.118.
Bastos L., Wietgrefe H. (2011). Highly-deployable troposcatter systems in support of NATO expeditionary operations. Military communications conference (MILCOM), pp. 2042-2049. DOI:10.1109/MILCOM.2011.6127619.
Duong Q., Nguyen H. H. (2017). Walsh-Hadamard precoded circular filterbank multicarrier communications. International Conference on Recent Advances in Signal Processing, Telecommunications & Computing (SigTelCom), pp. 193-198. DOI:10.1109/SIGTELCOM.2017.7849821.
Yang K., Wu Z. (2018). Analysis of the Co-channel Interference caused by Atmospheric Duct and Tropospheric scattering. 12th International Symposium on Antennas, Propagationand EM Theory (ISAPE), pp. 1-4. DOI:10.1109/ISAPE.2018.8634125.
Klapper A., Goresky M. (2012). Arithmetic Correlations and Walsh Transforms. IEEE Transactions on Information Theory, Vol. 58, Iss. 1, pp. 479-492. DOI:10.1109/TIT.2011.2165333.
Zhou Y., Cheng A., Zhang F., Long X. (2022). Construction of Troposcatter Communication Channel Model Basedon OPNET. IEEE 6th Information Technology and Mechatronics Engineering Conference (ITOEC), pp. 1010-1014. DOI:10.1109/ITOEC53115.2022.9734348.
Zhang W., Zhang Z., Jia J., Qi L. (2016). STC-GFDM systems with Walsh-Hadamard transform. IEEE International Conference on Electronic Information and Communication Technology (ICEICT), pp. 162-165. DOI:10.1109/ICEICT.2016.7879674.
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