Both schemes are developed based on the circularity of channel matrix while reducing complexity by avoiding inversion of a channel dependent matrix.
Simulation results demonstrate that our LC-ZP-OFDM receiver outperforms the conventional MMSE-ZP-OFDM receiver, while maintaining much less complexity by avoiding channel dependent matrix inversion.
In the noisy condition, the estimation of the dependent matrix, denoted as J ^, is not a strict selection matrix with elements of 1 and 0. There are two methods to reconstruct J ^ to be a standard selection matrix.
By using the concept of the graph dependent matrix norm, the convergence conditions can be specified at the agent level, which depend on a set of eigenvalues that are associated with the communication topology.
We would like to emphasize that the MMSE equalizer in MMSE-ZP-OFDM requires the inversion of an N × N Toeplitz channel dependent matrix, which has to be computed at every t seconds with a complexity of the order O N2).
We must also acknowledge the incompleteness of our dependent matrix (time invested) – for obvious considerations of time and participant fatigue, we had to limit the number of recipients for whom each participant squatted.
