Design and Performance Analysis of an Index Time-Frequency Modulation Scheme for Optical Communications

In this paper, we propose an index modulation system suitable for optical communications, based on jointly driving the time and frequency of the signal: an index time-frequency hopping (I-TFH) system. We analyze its performance from the point of view of its efficiency in power and spectrum and its behavior in terms of error probability for the non-turbulent free-space optical channel. We compare I-TFH with already proposed index modulated systems of the same nature, but where the amplitude or the number of transmitters is driven instead of the signal frequency. We derive and compare approximations for the average symbol and bit error probabilities of all these systems. The simulation results show that said approximations are tight enough for a wide range of signal-to-noise ratios and system parameters. Moreover, I-TFH shows to be better performing in bit error rates and/or power efficiency than the comparative alternatives and may offer interesting properties in a variety of contexts.

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