Table 2 Coherent case of the identical signaling scheme: MGFs G _{N , L} ( θ ) for the N × L RFID channel (Equation 21)

N = 1

$e^{\frac{{sin}^2\theta }{g\bar{\gamma }}}\frac{E_1(\frac{{sin}^2\theta }{g\bar{\gamma }})}{g\bar{\gamma }}$

$\frac{e^{\frac{{sin}^2\theta }{g\bar{\gamma }}}{E}_2(\frac{{sin}^2\theta }{g\bar{\gamma }}){sin}^2\theta }{g\bar{\gamma }}$

N = 2

$\frac{e^{\frac{{sin}^2\theta }{g\bar{\gamma }}}{E}_2(\frac{{sin}^2\theta }{g\bar{\gamma }}){sin}^2\theta }{g\bar{\gamma }}$

$\frac{-\bar{\gamma }{sin}^4\theta +e^{\frac{{sin}^2\theta }{g\bar{\gamma }}}{E}_1(\frac{{sin}^2\theta }{g\bar{\gamma }}){sin}^6\theta +\bar{\gamma }{e}^{\frac{{sin}^2\theta }{g\bar{\gamma }}}{E}_1(\frac{{sin}^2\theta }{g\bar{\gamma }}){sin}^4\theta }{{\left(g\bar{\gamma }\right)}^3}$