We proposed in our previous work an iterative minimum-mean-square-error (MMSE) cooperative positioning
algorithm. MMSE cooperative positioning method achieves better root-mean-square-error (RMSE) performance
than existing classical estimators. And it is implemented in an iterative pattern so as to circumvent the intense
computation burden of the numerical multiple integral computation methods. The basis of the proposed iterative
MMSE method is the single-node MMSE, which is actually the special case of the MMSE cooperative method
when the number of node N being 1. In this work, we study the properties of the single-node MMSE and
accordingly propose three variants of the original algorithm to improve the performance. The single-node MMSE
and its variants can also be used to produce initial position estimation for the maximum likelihood estimator
(MLE), one of the most popular existing classical estimators, and achieve almost the same performance as using
true positions as the initial positions.
Cooperative communication (CC) techniques, which form virtual multiple input multiple output (MIMO) systems
through cooperation among users, have been prevailing in current academic research. Two scenarios that have
been mostly considered are one source to one destination with help from a classic relay node and two sources
to one destination with cooperation among sources, i.e. cooperation for multiple access channels. In either case,
single antenna is employed at each node. In this paper, I propose to realize cooperation based on multiplexing
for a broadcast channel where there is one source equipped with multiple antennas and two destinations with
single antenna. One of the destinations experiencing better channels helps the other destination under worse
channel conditions by serving as a relay. Such a channel is referred to as a multiple input single output (MISO)
cooperative broadcast channel (CBC). Further, I consider the capacity analysis for the MISO CBC where additive
white Gaussian noise (AWGN) presents (MISO AWGN CBC), which is not easy because MISO AWGN channel,
as a vector Gaussian channel, is generally not degraded. I derive an outer bound on the capacity region of MISO
AWGN CBC to provide insights into its information transmission limit.
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