All data symbols used in data transmission of a modulated signal are precoded by hopping between precoding matrices so that the precoding matrix used to precode each data symbol and the precoding matrices used to precode data symbols that are adjacent to the data symbol in the frequency domain and the time domain all differ. A modulated signal with such data symbols arranged therein is transmitted.

Disclosed is a relay method including: receiving, as input, respective reception signals by two receive antennas, the reception signals each including a reception signal resulting from multiplexing respective transmission signals transmitted by two transmission antennas in a first frequency band; performing frequency conversion on the reception signal received by one of the receive antennas so as to obtain a signal of a third frequency band; and performing frequency multiplexing on the signal having the third frequency band and the reception signal received by the other of the receive antennas.

The present disclosure provides techniques for bandwidth constrained communication systems with frequency domain information processing. A bandwidth constrained equalized transport (BCET) communication system can include a transmitter, a communication channel, and a receiver. The transmitter can include a pulse-shaping filter that intentionally introduces memory into a signal in the form of inter-symbol interference, an error control code (ECC) encoder, a multidimensional fast Fourier transform (FFT) processing block that processes the signal in the frequency domain, and a first interleaver. The receiver can include an information-retrieving equalizer, a deinterleaver with an ECC decoder, and a second interleaver joined in an iterative ECC decoding loop. The communication system can be bandwidth constrained, and the signal can comprise an information rate that is higher than that of a communication system without intentional introduction of the memory at the transmitter.

The present invention is directed to data communication. More specifically, an embodiment of the present invention provides an error correction system. Input data signals are processed by a feedforward equalization module and a decision feedback back equalization module. Decisions generated by the decision feedback equalization module are processed by an error detection module, which determines error events associated with the decisions. The error detection module implements a reduced state trellis path. There are other embodiments as well.

Disclosed is a relay method including: receiving, as input, respective reception signals by two receive antennas, the reception signals each including a reception signal resulting from multiplexing respective transmission signals transmitted by two transmission antennas in a first frequency band; performing frequency conversion on the reception signal received by one of the receive antennas so as to obtain a signal of a third frequency band; and performing frequency multiplexing on the signal having the third frequency band and the reception signal received by the other of the receive antennas.

Disclosed is a precoding method for generating, from a plurality of baseband signals, a plurality of precoded signals that are transmitted in the same frequency bandwidth at the same time. According to the precoding method, one matrix is selected from among matrices defining a precoding process that is performed on the plurality of baseband signals by hopping between the matrices. A first baseband signal and a second baseband signal relating to a first coded block and a second coded block generated by using a predetermined error correction block coding scheme satisfy a given condition.

Systems and methods are provided for enabling reliable signaling in the presence of strong phase noise and frequency offset. To this end, a method is provided comprising receiving, at a receiver, a communication signal, including data, from a transmitter via a communication channel, and jointly tracking and jointly correcting phase noise errors and frequency errors in the communication signal with a joint detector using an iterative feedback correction process between an output decoder of the receiver and the joint detector.

A method and system for maximizing throughput and minimizing latency in a communication system that supports heterogeneous links is presented. The communication system supports a primary link and an alternate link, and the method and system leverage the alternate link to reduce the overhead transmitted over the primary link, thereby increasing throughput and reducing end-to-end latency. The higher latency alternate link provides a delayed version of an information signal that corresponds to a portion of the information signal that is transmitted on the primary link. The received samples from the primary and alternate links may be used to equalize subsequent portions of the information signal received over the primary link, and may also be used for synchronization, timing recovery, DC offset removal, I/Q imbalance compensation, and frequency-offset estimation.

A method for decoding a set of packets asynchronously on same nominal carrier frequency transmitted over a common communication medium, receives a signal including a combination of the set of packets modified with noise of the common communication medium, each packet includes a preamble common to all packets in the set and a payload unique for at least some packets in the set. The method determines, using a sparse recovery, a frequency offset of the transmission of each packet from the carrier frequency, a time offset of the transmission of each packet from a common point in time, and a channel gain corresponding to the transmission of each packet over a channel in the common communication medium and decodes the payloads of the packets in the set using the frequency offsets, the time offsets, and the channel gains.

Coding techniques for a (e.g., OFDM) communication system capable of transmitting data on a number of “transmission channels” at different information bit rates based on the channels' achieved SNR. A base code is used in combination with common or variable puncturing to achieve different coding rates required by the transmission channels. The data (i.e., information bits) for a data transmission is encoded with the base code, and the coded bits for each channel (or group of channels with the similar transmission capabilities) are punctured to achieve the required coding rate. The coded bits may be interleaved (e.g., to combat fading and remove correlation between coded bits in each modulation symbol) prior to puncturing. The unpunctured coded bits are grouped into non-binary symbols and mapped to modulation symbols (e.g., using Gray mapping). The modulation symbol may be “pre-conditioned” and prior to transmission.