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In multi-Gbps chip-to-chip signalling, the transmitter clock jitter limits the maximum possible data speed for a required Bit Error Rate (BER).
In (1), is the number of distributed subcarriers per-subchannel, is the channel gain of user at subcarrier of th subchannel, which is the product of the distance attenuation and the fast fading gain, is the noise variance, is referred to as SNR gap related to the required bit error rate of user and is approximated as for QAM modulations [10].
where constant T is the symbol period, which will be assumed to be one unit without loss of generality, and constant K = (−φ1)/log(φ2ΒΕR), where φ1 and φ2 are constants depending on the modulation, and BER is the required bit error rate [26].
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This requires more complex equalization blocks to meet the required bit-error rate.
The signal-to-noise ratio gap approximation is used in our exposition in order to jointly handle required bit rates, transmission energies, and symbol error rates.
Thus, the transmit power of UWB signal is strictly limited in order to avoid the interference to primary users, which requires low Bit Error Rate BER) in the situation of low Signal to Noise Ratio (SNR) [4].
where is the thermal noise power, and Γ is the SNR gap related to the required bit-error-rate (BER).
The contribution describes the complex relationship of desired high operation temperature and required low bit-error probability on a quantitative level.
The link performance is quantified as the transmitted power required for achieving a bit error rate (BER) not exceeding 10-9 with 95% probability.
In the tradeoff analysis, the total complexity, in terms of complex multiplications, required to reach a given bit error rate (BER) is derived for all algorithm combinations at different signal-to-noise ratios and number of users.
where ({frac {E_{s}}{N_{0}}}^{NL}_{i}) and ({frac {E_{s}}{N_{0}}}^{L}_{i}) are the average symbol energy to noise ratios required to achieve a target bit error rate (BER) in the nonlinear channel and the ideal linear channel (AWGN), respectively, for the ith carrier.
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