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Define relay index set Ω = 1, …., K.
Throughout this paper, the superscript denotes the relay index, while the subscript refers to data block index.
The construction of an optimal D-STBC-SM code relies on the proper selection of a relay index pattern that maximises the CGD.
The intention was to add the spatial dimension to the modulated signal constellation; this allowed information to be transmitted not only using amplitude/phase modulation (APM) but also using the relay index.
At last, we know that every candidate relay node could calculate both ε saving(i) and ST i) automatically and independently; hence, a relay index T RE can be defined as {T}_{RE}(i =alpha cdot S T i +left 1-alpha righT i +left 1-alphaathrightving}}(i) (31).
Let the selected relay index be m and denote its relay-destination channel coefficients as h r m d so that h r m d 2 ≜ max R i ∈ D h r i d 2. The received signal at the destination becomes y r d = h r m d x [ 0 ] + w r d. (14).
Similar(53)
where b=(i i ′ ), i.e., the best pair of relay indices, where i denotes the index of the relay with the best link in N, and i ′ is that of the best relay among the remaining N−1.
where N s denotes the set of two or four relay indices for the relays chosen in our relay selection scheme, and each term in the summation has the same form as in [13].
where b= i,i ′,i ′′,i ′′′ ), i.e., the best four relay indices, wherein i denotes the index of the relay with the best link in N; i ′ is that of the best relay among the remaining N−1, and i ′′ is that of the best relay among the remaining N−2, and i ′′′ is that of the best relay among the remaining N−3.
where b= i,i ′,i ′′,i ′′′ ), i.e., the best four relay indices, in which i denotes the index of the relay with the best link in N; i ′ is that of the best relay among the remaining N−1, and i ′′ is that of the best relay among the remaining N−2, and i ′′′ is that of the best relay among the remaining N−3.
This class of approaches are referred to as fixed number multiple-source multiple-relay selection (FN-MSMRS), and the corresponding set partition of relay indices for relay selection can be defined as Ω M ( F ) = Ω L > 1, L is a fixed positive integer.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com