Many of the available prediction equations for feed energy value may not be applicable for ingredients such as copra (Cocos nucifera) meal (CM), palm kernel meal (PKM), and cassava (Manihot esculenta) root (CR). Therefore, we developed novel equations for estimating GE and DE concentrations in CM, PKM, CR, and diets containing these ingredients. Data for GE and DE concentrations were obtained from previous experiments in which the chemical composition in the ingredients and diets were determined. In addition, in vitro DM digestibility (IVDMD) values in 3 samples of ingredients including CM, PKM, and CR and 4 samples of diets including a corn (Zea mays)-soybean (Glycine max) meal-based diet and 3 diets containing CM, PKM, and CR were determined. Based on the model R(2), conceptual predictive criterion, and the P-value of the equation, the best equation for GE concentration (kcal/kg) was GE = 3313 + (24.81 × CP) + (9.83 × NDF) with R(2) = 0.93, root mean square error = 102, and P = 0.005 (CP and NDF values are percentages). Regression analysis was conducted between the DE:GE ratio and IVDMD (%). The DE:GE ratio was 0.81, 0.73, 0.83, 0.89, 0.84, 0.82, and 0.88 in CM, PKM, CR, a corn-soybean meal-based diet, and diets containing CM, PKM, or CR, respectively. The values for IVDMD were 70.3, 42.6, 88.2, 93.4, 86.7, 75.5, and 91.3%, respectively. The DE:GE ratio may be calculated by (0.0030 × IVDMD) + 0.5986 (R(2) = 0.91; P = 0.001). Using the estimated GE concentration and IVDMD, the prediction equation for DE concentration (kcal/kg) was DE = -1965 + (1.02 × GE) + (15.33 × IVDMD) with R(2) = 0.88 and P = 0.007. In conclusion, IVDMD values are useful in estimating energy digestibility in CM, PKM, CR, and diets containing these ingredients.
The capability of error correction codes is largely dependent on the calculation of soft decision values. In this letter, linear-dispersion (LD) code is applied to single-carrier frequency-division multiple access (SC-FDMA) and the closedform expression of soft decision values is derived. It is shown that the calculation of soft decision values generally depends on both time and space within an SC-FDMA symbol, as opposed to single-antenna transmission. In addition, a sufficient condition to guarantee the independence from time and space is presented. Index Terms-SC-FDMA, DFTS-OFDM, linear dispersion code, MIMO, soft decision value, LLR, MMSE.
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