Abstract: A signal constellation for wireline or wireless multi-carrier communication systems, such as systems using OFDM or MC-CDMA, has points separated from one another by maximizing a distance between conditional probability distributions, such as a Kullbeck-Leibler (KL) distance. Preferably, the constellation points are arranged in concentric circles, with or without a point at the origin, wherein adjacent circles are rotated to maximize an angular distance between points on adjacent circles. Pilot symbols inserted in the transmitted signal are used by a receiver to estimate the channel of the multi-carrier system. Different constellations show optimum performance for different signal to noise ratios, and for different numbers of taps used to estimate the channel, especially in a fast fading environment where there may be fewer pilots per OFDM or MC-CDMA symbol than channel taps.

Abstract: A signal constellation for a multiple input/multiple output (MIMO) communication system when channel knowledge at the receiver is imperfect includes at least two (n−1)-dimensional sub-constellations of points that together form an n-dimensional constellation, the number n representing real dimensions and n=2M where M is the number of transmit antennas. The n-dimensional spherical constellation may define a single sphere or a plurality of concentric subset spheres, and points between subsets are separated by a Kullback-Leibler distance rather than a Euclidian distance. Each sphere has sub-constellations that preferably are arranged in symmetric pairs that define equal numbers of points that lie in parallel planes, to allow recursive construction that minimizes computational complexity. An appropriate constellation may be chosen by ceasing a search once the optimum minimum distance stops increasing as a number of the concentric levels increases.

Abstract: A hybrid receiver, and an associated method, for receiving a radio signal carrying transmitted data that is subject to distortion in the transmission channel. The receiver includes a plurality of stages that perform parallel interference cancellation (PIC) to establish successively more accurate estimates of the transmitted data, including a receiver first stage being either a RAKE receiver or a linear minimum mean-square error (LMMSE) receiver, a second stage including an LMMSE, and preferably a third stage also including an LMMSE. Each stage processes the estimates of the transmitted signal provided by the stage preceding it to mitigate or eliminate as much transmission-channel interference as possible and prove a refined estimate for processing by subsequent stages. Improved channel estimation may be achieved by processing the pilot signal in similar fashion as well.