// translate SINR -> cqi: WILD ACK: same as DL
double s = log2 ( 1 + (std::pow (10, minSinr / 10 ) / ( (-std::log (5.0 * 0.00005 )) / 1.5) ));
Above expressions translate to a Gap to capacity of approximately 7.42 dB. Note that in practical systems e.g. LTE, since there is a Turbo code FEC, the actual gap to Shannon capacity is significantly smaller than 7. 42 dB (typically a gap of 3 dB is used to be conservative]. More details on the source of the above derivation is given below.
I would like to point out that this excessively pessimistic Gap approximation implies that the UL scheduler will significantly underestimate CQI which can be impact peak data-rates [medium-high SNR scenarios].
Any clarification would be appreciated.
- Vikram
PS:
The original source for the derivation can be found at "Variable-rate Variable-power M-QAM for Fading Channels", IEEE Trans. on Comm., October 1997, Vol. 45, No. 10 by Goldsmith and Chua. I would like to point out that the above expressions have been originally derived while calculating the maximum consellation size of uncoded QAM, for a given target bit error rate, over an AWGN channel. Note the emphasis on the word "uncoded".
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