Abstract: A computer-implemented reconstruction method of discrete digital signal recovery in noisy overloaded wireless communication systems in the presence of hardware impairments that is characterized by a channel matrix of complex coefficients, the method including, receiving the signal from channel by a signal detector, estimation of hardware impairments parameter ? is done at the receiver, estimation noise power is done by a noise power estimator, forwarding the detected signal and hardware impairments parameter ? and noise power estimation to a decoder that estimates the transmitted symbol, wherein the estimation of the decoder produces a symbol that could probably have been transmitted it is forwarded to a de-mapper, which outputs the bit estimates corresponding to the estimated transmit signal and the corresponding estimated symbol to a microprocessor for further processing.

Abstract: Transceiver method between at least one receiver and at least one transmitter in an overloaded communication channel that is characterized by a channel matrix, wherein within a first step a transmitter sends out a reference signals to a receiver, and the receiver estimates the channel Matrix, within a second step the receiver optimizes RX beamforming matrix and TX beamforming matrix jointly, within a third step the TX beamforming matrix is sent to the transmitter out-of-band by using a control channel, which is reliable.

Abstract: A computer-implemented reconstruction method of discrete digital signals in noisy overloaded wireless communication systems that is characterized by a channel matrix of complex coefficients, the method including, receiving the signal from channel by a signal detector, measuring the noise power by a noise power estimator at the receiver , forwarding the detected signal and noise power estimation to a decoder that estimates the transmitted symbol, wherein the estimation of the decoder produces a symbol that could probably have been transmitted it is forwarded to a de-mapper, which outputs the bit estimates corresponding to the estimated transmit signal and the corresponding estimated symbol to a microprocessor for further processing.

Abstract: A computer-implemented reconstruction method of discrete digital signals in noisy overloaded wireless communication systems with CSI Errors that is characterized by a channel matrix of complex coefficients, the method including receiving the signal from channel by a signal detector, estimation of the CSI error parameter ? is done at the receiver, estimation noise power is done by a noise power estimator, forwarding the detected signal and the CSI error parameter ? and noise power estimation to a decoder that estimates the transmitted symbol, wherein the estimation of the decoder produces a symbol that could probably have been transmitted it is forwarded to a de-mapper, which outputs the bit estimates corresponding to the estimated transmit signal and the corresponding estimated symbol to a microprocessor for further processing.

Abstract: A computer-implemented reconstruction method of discrete digital signal recovery in noisy overloaded wireless communication systems in the presence of hardware impairments that is characterized by a channel matrix of complex coefficients, the method including, receiving the signal from channel by a signal detector, estimation of hardware impairments parameter ? is done at the receiver, estimation noise power is done by a noise power estimator, forwarding the detected signal and hardware impairments parameter ? and noise power estimation to a decoder that estimates the transmitted symbol, wherein the estimation of the decoder produces a symbol that could probably have been transmitted it is forwarded to a de-mapper, which outputs the bit estimates corresponding to the estimated transmit signal and the corresponding estimated symbol to a microprocessor for further processing.

Abstract: Estimating transmit symbol vectors transmitted in an overloaded communication channel includes receiving a signal represented by a received signal vector, the received signal vector corresponding to a superposition of signals representing transmitted symbols selected from a constellation of symbols and transmitted from one or more transmitters.

Abstract: A computer-implemented method of estimating transmit symbol vectors transmitted in an overloaded communication channel includes receiving a signal represented by a received signal vector, the received signal vector corresponding to a superposition of signals representing transmitted symbols selected from a constellation of symbols and transmitted from one or more transmitters. Continuous first and second functions in a search space in a convex domain are defined. The first function and the second function are combined into a third function, and a fractional programming algorithm is applied to the third function, targeted to finding an input vector that minimizes the third function. A mapping rule translates the found input vector into an estimated transmit symbol vector, and the estimated transmit symbol vector is output to a decoder for decoding into an estimated transmit symbol from the constellation.