Performance and distance spectrum of space-time codes in fast rayleigh fading channels

On the Performance of Full-Duplex Two-Way Relay Channels With Spatial Modulation

“…Without loss of generality, we consider a wireless fading channel that remains static within a period of a time block of symbols but changes independently from one time block to another [34], [43]- [47]. h ir [k, n i ] denotes the channel amplitudes from the n i th transmit antenna of S i to all receive antennas at R in the kth time block and h ri [k, n r ] denotes the channel amplitudes from the n r th transmit antenna of R to all receive antennas at S i in the kth time block.…”

“…Rayleigh distributions and the interference to noise ratio (INR) at S i and R are respectively denoted as ρ ii and ρ rr . In the state of the art works, the characterization of the residual SI has been modelled either as a random variable that has a constant signal to interference ratio (SIR), i.e., ρ ii = β i ρ i and ρ rr = β r ρ r [51] or a random variable that is scaled with the transmit SNR by a factor 0 ≤ µ ≤ 1 where ρ ii = ρ 1−µ i and ρ rr = ρ 1−µ r , respectively [34], [42], [43], [52]- [55]. In general, these two models are equivalent for analytical derivation by letting µ = 1 − log ρi β i ρ i and µ = 1 − log ρr β r ρ r .…”

Performance and distance spectrum of space-time codes in fast Rayleigh fading channels

“…Theorem 1: The distance metric (δ H , δ p ) of an error event depends only on the input a k t ,â k t , t = 1, · · · , L e , k = 1, · · · , R, but not on the starting good product state, for the length of the error event, L e , and the number of input bits per state transition, R. 5 5 For the proof, refer to [16].…”

“…For the proof, refer to[16] 7. Refer to[16] for the detailed method of computing the distance spectrum.…”