By dropping the perfect reconstruction constraint of Eq. (2), it is often possible to achieve improved performance.
Hence, under perfect secrecy constraint, the instantaneous secrecy capacity of Bob in the presence of multiple eavesdroppers equipped with multiple antennas can be expressed as C s = C B - C E, if γ B ≥ γ E 0, otherwise.
Note that DF with decoding of additional signals achieves the same total exchange rate as DF with time-sharing if in both cases, the decoding at the relay yields the bottleneck rate (the perfect decoding constraint at the relay is the same in these two cases).
Therefore, in addition to the perfect match constraint, we adopted an alternative procedure.
For the case of perfect CSI, the constraint of ZF algorithm is given by begin{array}{l}underset{mathbf{f}}{ max } left|{mathbf{h}}_{je}^H{mathbf{f}}_rright| mathrm{s}.mathrm{t}.kern0.5em {mathbf{h}}_{jr}^H{mathbf{f}}_r=0,kern0.5em left|{mathbf{f}}_r^H{mathbf{f}}_rright|=1.end{array} (9).
Different from the model of perfect CSIT feedback, constraints for the SINR guarantee and the interference control are in probabilistic forms, instead of closed forms.
This objective function is optimized using a well recognized true least square method called Lagrange multiplier method enforcing CS and MCS based fractional derivative constraints and perfect reconstruction condition of two-channel QMF bank as a constraint.
Due to constraint of perfect reconstruction, each stage of this lattice filter bank is simply parameterized by two coefficients.
The authors investigate power allocation schemes for this protocol, both under an individual and a sum-power constraint assuming perfect channel state information.
The signal intensity data generated were analyzed with Affymetrix Tiling Analysis Software (v. 1.1.02), using a 200-bp bandwidth as a smoothing parameter and setting a constraint of perfect match only.
