As a part of the EU-FP7 R&D programme, the OMEGA project (hOME Gigabit Access) aims at bridging the gap
between wireless terminals and wired backbone network in homes, providing high bit rate connectivity to users. Beside
radio frequencies, the wireless links will use Optical Wireless (OW) communications. To guarantee high performance
and quality of service in real-time, our system needs techniques to approximate the Bit Error Probability (BEP) with a
reasonable training sequence. Traditionally, the BEP is approximated by the Bit Error Rate (BER) measured by counting
the number of errors within a given sequence of bits. For small BERs, required sequences are huge and may prevent real-time
estimation. In this paper, methods to estimate BER using Probability Density Function (PDF) estimation are
presented. Two a posteriori techniques based on Parzen estimator or constrained Gram-Charlier series expansion are
adapted and applied to OW communications. Aided by simulations, comparison is done over experimental optical
channels. We show that, for different scenarios, such as optical multipath distortion or a well designed Code Division
Multiple Access (CDMA) system, this approach outperforms the counting method and yields to better results with a
relatively small training sequence.
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