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TTCM and BICM based AQAM schemes, which were studied under the constraint of a similar implementational complexity The BbB adaptive TCM and TTCM schemes were investigated when communicating over wideband fading channels both with and without channel interleaving and they were characterised in performance termsover the COST207 TU fading channel When observing the associated BPS curves, adaptive TTCM exhibited up to 25 dB SNR-gain for a channel interleaver length of four transmission bursts in comparison to the non-interleaved scenario, as it was evidenced in Figure 540 Upon comparing the associated BPS curves, adaptive TTCM also exhibited up to 07 dB SNR-gain compared to adaptive TCM of the same complexity in the context of System 11, while maintaining a target BER of less than 001 %, as it was shown in Figure 544.

Finally, adaptive TCM performed better, than the adaptive BICM benchmarker in the context of System I, while the adaptive BICMID scheme performed marginally worse, than adaptive TTCM in the context of System 11, as it was discussed in Section 51 1 S In 6 following a brief introduction to several fading counter-measures, a general model was used for describingvarious adaptive modulation schemes employing various constituent modulation modes, suchas PSK, Star QAM Square QAM,as one of the attractive and fading counter-measures In Section 6331, the closed form expressionswere derived for the average BER, the average BPS throughput and the mode selection probability of the adaptive modulation schemes, which were shown to be dependent on the mode-switching levels as well as on the average SNR In Sections 641, 642 and 643 we reviewed the existing techniques devised for determining the mode-switching levels.

6. The set V;' of all real vectors in R" whose average of entries equals one is not a linear space.

Furthermore, in Section 644 the optimum switching levels achieving the highest possible BPS throughput were studied, while maintaining the average target BER These switching levels were developed based on the Lagrangian optimization method Then, in Section 651 the performance of uncoded adaptive PSK, Star QAM and Square QAM was characterised, when the underlying channel was a Nakagami fading channel It was found that an adaptive scheme employing a k-BPS fixed-mode as the highest throughput constituent modulation mode was sufficient for attaining all the benefits of adaptive modulation, while achieving an average throughput of up to k - 1 BPS.

FIGURE 8-1

For example, a threemode adaptive PSK scheme employing No-Tx, l-BPS BPSK and 2-BPS QPSK modes attained the maximum possible average BPS throughput of 1 BPS and hence adding higherthroughput modes, such as 3-BPS 8-PSK to the three-mode adaptive PSK scheme resulting in a four-mode adaptive PSK scheme didnot achieved a better performance across the 1 BPS throughput range Instead,this four-mode adaptive PSK scheme extended maximum BPS the throughput achievableby any adaptive PSK scheme 2 BPS, while asymptotically achieving to a throughput of 3 BPS, as the average SNR increases On the other hand, the relative SNR advantage of adaptive schemes in comparison to fixed-mode schemes increased as the target average BER became lower and decreased as the fading became less severe.