Abstract
Optimal signals with smoothed envelopes and increased duration are considered. Smoothed envelopes were obtained by optimization task with restriction on the energy of signal, boundary conditions and restriction on intersymbol interference. Solutions of optimization task for different values of restrictions are considered. It is shown that increasing of duration of optimal signals leads to increasing of the maximum value of the envelope and nonlinear change of the energy spectrum’s form. We can assume that as correlation coefficient becomes less, the form of envelope gets closer and closer to the form of the function sin(x)/x and the maximum value of the envelope becomes larger. Energy loss relatively to the theoretical BER performance of BPSK signals is not more than 0.2 dB for correlation coefficient 0.01. Increasing of correlation coefficient is accompanied by degradation of BER performance. This effect is especially evident for high values of signal duration. So for multifrequency signals choosing small values of correlation coefficient more than 0.1 may be reasonable because of reducing occupied frequency bandwidth. Energy losses which occur for small values of correlation coefficient, may be compensated by redundancy of transmitted data. For one-frequency signals it is better to choose small values of correlation coefficient (less than 0.1).
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Ovsyannikova, A.S., Zavjalov, S.V., Makarov, S.B., Volvenko, S.V. (2017). Choosing Parameters of Optimal Signals with Restriction on Correlation Coefficient. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. ruSMART NsCC NEW2AN 2017 2017 2017. Lecture Notes in Computer Science(), vol 10531. Springer, Cham. https://doi.org/10.1007/978-3-319-67380-6_58
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