On the error probability of linearly modulated signals on frequency-flat Ricean, Rayleigh, and AWGN channels

A unified approach to the performance analysis of digital communication over generalized fading channels

“…The classical solution to (21) is first to replace the -fold average by a single average over , i.e., (22) Note that (22) does not require the independence assumption on the fading amplitudes and thus also applies to (20). Evaluation of (22) requires obtaining the pdf of the combined fading RV .…”

“…When contrasted with the true classical solution in the form of (22), which would require an -fold convolution (itself an -fold integral) or other means to obtain the pdf of the combined fading RV [17], the form of the solution as given by (30) together with (33) and (34) is considerably simpler. The full details of this approach for Nakagami-distributed channels (paths) are given in [16].…”

Capacity and error probability analysis for orthogonal space-time block codes over fading channels

“…The capacity of a multiple antenna wireless system over a fading channel with continuous-valued inputs and continuousvalued outputs is given in [13] as b s Hz (18) where is the expected value operator, is an identity matrix with dimension denotes the determinant of matrix , and the superscript denotes matrix transpose and conjugate. The capacity of the equivalent STBC channel in (5) with continuous-valued inputs and continuous-valued outputs for complex signals is given in [4] and [5] as b s Hz (19) Given the pdf of , the capacity of the equivalent STBC channel can be obtained from b s Hz (20)…”

Diversity receiver design and channel statistic estimation in fading channels

“…In practice, CSI cannot be perfect in fading channels, and thus the effect of ICE must be considered for accurate performance evaluation and system design [21,22,23,35,71,72,73,93,105]. In [13], performance of binary phase-shift keying (BPSK) with EGC and Gaussian channel estimation errors in a Rayleigh fading channel was studied.…”

“…The [20,71,93]. In other words, in general the channel estimation error is not orthogonal to the estimate, which may complicates our performance analysis to provide an accurate BER result.…”