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As it can be predicted, greater PCF results in improved capacity. Figure 17 The normalized sum capacity sum capacity lower bounds versus Eb/N 0 for β = 2 and various values of PCF. Figure 18 shows a comparison of the proposed bounds including Tanaka's bound for β = 4.
Computer simulations are conducted to study the validity and tightness of the proposed bounds.
Comparing with existing works on this topic, the proposed bounds are less restrictive.
The proposed bounds serve as approximations for the PEP function and are used to optimize the θ angle.
The proposed bounds apply to arbitrary number of antennas, CCI, and feedback delay at any SIR. Moreover, they involve only standard mathematical functions and therefore can be easily and efficiently evaluated.
Based on the correlation (1) and the proposed bounds at each iteration (Table 4), the calculated values are compared with the actual values and the error is computed until an acceptable answer is reached.
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Although the proposed bound is expressed in terms of δ K while (3) and the limit of Dai and Milenkovic are expressed in terms of δK+ 1so that the comparison is slightly unfavorable for the proposed bound, we still see that the proposed bound is fairly close to the limit for large K. a Figure 1 Bounds of restricted isometry constant.
First, the proposed bounding operation is simple since the lower bound of the subproblem of each node can be achieved easily only by arithmetic computations, distinguishing it from the ones obtained by solving convex/linear programs in the usual BB methods.
Cruces[11] proposed bounded component analysis (BCA) as an alternative method for BSS which relies on the bounded support of sources.
Authors of [11] provided efficient solution for the unbounded version and proposed bounded problem unsolved, shown below.
Based on randomly generated large networks, computational experiments are conducted to compare the proposed algorithm to the well-known and widely used edge-packing approximation model and to explore the performance of the proposed bounding algorithm.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com