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Figure 13.26 depicts the 16-QAM BER performance over theWATM channel of Figure 13.3. Three different blocking thresholds, namely 0, 6 and 12 dB, were used, where subbands requiring more power than the allowable maximum were blocked from transmission. The BER floor stems from the channel variability, due to the time delay between channel estimation and transmission. The average throughput figures for the 6 dB and 12 dB symbol power limits are 3.54 and 3.92 bits per data symbol, respectively. It can be noted that the of BER floor is lower for 1 = 6dB than for 1 = 12dB. This is because the effects the channel variation due to the delay between the instants of channel estimation and reception in the faded subcarriers on the equalization function is much more dramatic for low-quality subbands requiring more 'power boosting' than in the higher-quality subcarriers. The lower 1, the fewer the number of low-quality subcarriers used for the total symbol power limit transmission. Although not explicitly shown in the figure, we note that for both 1 = 6dB and 1 = 12dB, the BER performance of the blocking modem is better than that of a modem employing full channel inversion, provided that 1 time slot delay is assumed. Again, the reason for this is the exclusion of the deeply faded corrupted subcarriers. If the OFDM symbol power is limited to 0 dB, then the BER floor drops to 1.5 . lop6 at the expense of the throughput, which attains2.5 BPS. Figure 13.27 depicts the mean OFDM symbol power

with each term E 15(k)I2depending only on the corresponding function hk (.). In this way, minimizing the sum E 5 * 5 over all {hk(.)} is equivalent to minimizing each individual term, E I5(k )1 2, over its h k (.) . Note further that

tr{P(z)Ak}

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The most reliable channel quality estimate is the bit error rate (BER), since it reflects the channel quality, irrespective of the source or the nature of the quality degradation The BER can be estimated invoking a number of approaches Firstly, the BER can be estimated with a certain granularity or accuracy, provided that the system entails a channel decoder or - synonymously - Forward Error Correction (FEC) decoder employing algebraic decoding [ 131 Secondly, if the system contains a soft-in-soft-out (SISO) channel decoder, the BER can be estimated with the aid of the Logarithmic Likelihood Ratio (LLR), evaluated either at the input or the output of the channel decoder A particularly attractive way of invoking LLRs is employing powerful turbo codecs, which provide a reliable indication of the confidence associated with a particular bit decision in the context of LLRs.

Lines cannot be changed in this manner. You must right-click them to change their type, and you can only change to an elbow connector or a curved connector.

Thirdly, in the event that no channel encoder/ decoder (codec) isused in thesystem, the channel quality expressed in terms of the BER can be estimated with the aid of the meansquared error (MSE) at the output of the channel equalizer or the closely related metric of Pseudo-Signal-to-Noise-Ratio (Pseudo-SNR) [6] The MSE orpseudo-SNR at the output of the channel equalizer have the important advantage that they are capable of quantifying the severity of the inter-symbol-interference (ISI) and/or CO-channel Interference (CCI) experienced, in other words quantifying the Signal toInterference plus Noise Ratio (SINR) As an example, letus consider OFDM In OFDM modems [4] the bit error probability in each subcarrier can be determined by the fluctuations of the channel s instantaneous frequency domain channel transfer function H,, if no co-channel interference is present.

Why is that I asked Because she makes me so irritated and angry, Susan explained What does she do to make you angry I asked Nothing really I m just angry when I m around her I knew there was more to it As I suspected, Susan wasn t really angry with her mother for anything she currently did it was old anger, all the anger she had stored up for years but never allowed herself to express Susan s mother had been very neglectful when Susan was growing up She seldom spent time with her or took any interest in teaching her about life Now, whenever her mother gave her advice, it made Susan very angry I guess I m angry because I think to myself, How dare you give me advice now I m all grown up.

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