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COSTBCs achieve the diversity gain upper bound(Theorem 1) in an N-hop network with decoding rule (10).
The ultimate gain (upper limit) of the controller has been specified properly via root locus plot before starting the optimization process to avoid falling in instability region.
Thus, the maximum diversity gain of the COSTBCs is dout(0) = min{M0M1, M1M2} which equals the diversity gain upper bound (Theorem 1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com