Consequently, using Theorem 1 and Corollary 1, the detections of complex information symbols are converted into independent detections of real and imaginary parts, which further reduces the worst-case complexity to O(M4.5).
We know that if the ML decoder at the receiver chooses K complex information symbols x k and the modulation scheme is q-PSK, the decoding complexity cannot exceed q K metric computations.
Let ({mathbf {s}}_{k}^{(m)} in mathbb {C}^{N times 1}), k=1,…,K, m=1,…,M T be the column vector that represents the N complex-valued information symbols transmitted in the kth OFDM symbol over the mth antenna.
In other words, when imperfect channel estimates are employed for estimating information symbols, a zero-mean uncorrelated complex Gaussian noise vector minimizes the upper bound over the distribution of the information symbol vector of the mutual information between the transmitted and observed information symbols.
Our DNA contains a wealth of complex information, he observes.
In the new codeword, the contributions of information symbol groups (s1,s2) and (s3,s4) are totally uncorrelated in the received signal, which means that the ML detection of eight information symbols can be achieved by two independent and less complex detections of six information symbols.
On the left-hand side, general gene information (symbol, alias, description, etc).
Here, and are matrices with constant complex entries, and is the number of information symbols transmitted in one block.
The purpose of symbol mapping is to generate constellation mapping complex symbols, which are mapped into complex symbols by a group of symbols through different modulation schemes by 0, 1. Suppose that number of modulation phase is m, number of transmitted information symbols is n, and the number of complex symbols after mapping is e.
