Methods and systems are described for frequency domain correction, time domain correction, and combinations thereof. Each Long Term Evolution (LTE) uplink residual frequency offset can be determined with less than 1 part per billion accuracy simultaneously and used for frequency offset correction. The disclosed method utilizes the same modulated signals for data and control as the 3GPP LTE wireless standard and can be embedded directly into the base station (downlink) PHY without additional hardware. The use of the disclosed methods provide multiple ways to simultaneously improve the uplink data throughput for every user in an LTE multiple access wireless system.

A receiver configured to receive a frequency-modulated transmission having a preamble and a corresponding method are provided, the receiver having a buffer coupled to an input terminal for receiving the transmission, a time-to-frequency transformer coupled to the buffer, an energy aggregator coupled to the transformer, a preamble detector coupled to the aggregator, and a symbol synchronizer coupled to the detector; the method including receiving a sequence of time-domain frequency-modulated samples, transforming the sequence of time-domain samples into a spectrum of frequency-domain data, and matching an actual energy distribution over a plurality of discrete frequencies in the frequency-domain data with an expected energy distribution of the preamble to determine frequency error.

Disclosed methods include transmitting an OFDM signal including a succession of frames spaced apart by a set of training symbols that are symmetric in time and each formed by a plurality of even-frequency sub-carriers, spaced by odd frequency zeros. The OFDM signal is received and sampled and timing metrics are determined. Local maximums, or peaks of the timing metrics are detected, and from the peaks a coarse time offset is determined. A correlation metric, at sample indexes within a region determined by the coarse time offset, is applied and, based on a peak, an estimated time offset is generated. A correlation metric of the estimated time offset is determined and, based on the correlation metric, an estimated frequency offset is generated.

Disclosed methods include transmitting an OFDM signal including a succession of frames spaced apart by a set of training symbols that are symmetric in time and each formed by a plurality of even-frequency sub-carriers, spaced by odd frequency zeros. The OFDM signal is received and sampled and timing metrics are determined. Local maximums, or peaks of the timing metrics are detected, and from the peaks a coarse time offset is determined. A correlation metric, at sample indexes within a region determined by the coarse time offset, is applied and, based on a peak, an estimated time offset is generated. A correlation metric of the estimated time offset is determined and, based on the correlation metric, an estimated frequency offset is generated.

A device for estimating frequency offsets which is performed by periodically transmitting training signals from a wireless local area network system. The device includes a processor and computerized codes stored in a storage unit. The processor is configured to execute the computerized code to perform a method. The method comprises receiving the plurality of training signals, selecting selected training signals by a predetermined interval from the received training signals, detecting and storing phases of the selected training signals, averaging phase differences of every pair of the detected phases of the selected training signals, calculating the frequency offsets according to an average of the phase differences for every pair of the detected phases of the selected training signals, and calculating a weighted average of the calculated frequency offsets using weighting values for each of the calculated frequency offsets.

The present disclosure provides a method in a receiver for frequency offset estimation. The method includes: for each of two or more pairs of symbols in a set of symbols from a transmitter: calculating a phase difference between a first symbol and a second symbol in the pair; and removing from the calculated phase difference a phase difference component due to a difference between information carried in the first symbol and information carried in the second symbol, to obtain a residual phase difference component. The method further includes: estimating a frequency offset between the receiver and the transmitter as a function of the respective residual phase difference components obtained for the two or more pairs.

A receiver configured to receive a frequency-modulated transmission having a preamble and a corresponding method are provided, the receiver having a buffer coupled to an input terminal for receiving the transmission, a time-to-frequency transformer coupled to the buffer, an energy aggregator coupled to the transformer, a preamble detector coupled to the aggregator, and a symbol synchronizer coupled to the detector; the method including receiving a sequence of time-domain frequency-modulated samples, transforming the sequence of time-domain samples into a spectrum of frequency-domain data, and matching an actual energy distribution over a plurality of discrete frequencies in the frequency-domain data with an expected energy distribution of the preamble to determine frequency error.

A receiver configured to receive a frequency-modulated transmission having a preamble and a corresponding method are provided, the receiver having a buffer coupled to an input terminal for receiving the transmission, a time-to-frequency transformer coupled to the buffer, an energy aggregator coupled to the transformer, a preamble detector coupled to the aggregator, and a symbol synchronizer coupled to the detector; the method including receiving a sequence of time-domain frequency-modulated samples, transforming the sequence of time-domain samples into a spectrum of frequency-domain data, and matching an actual energy distribution over a plurality of discrete frequencies in the frequency-domain data with an expected energy distribution of the preamble to determine frequency error.

A receiver configured to receive a frequency-modulated transmission having a preamble and a corresponding method are provided, the receiver having a buffer coupled to an input terminal for receiving the transmission, a time-to-frequency transformer coupled to the buffer, an energy aggregator coupled to the transformer, a preamble detector coupled to the aggregator, and a symbol synchronizer coupled to the detector; the method including receiving a sequence of time-domain frequency-modulated samples, transforming the sequence of time-domain samples into a spectrum of frequency-domain data, and matching an actual energy distribution over a plurality of discrete frequencies in the frequency-domain data with an expected energy distribution of the preamble to determine frequency error.

The present invention provides a method, device and storage medium for frequency offset estimate, and the method for frequency offset estimate comprises: performing initial channel estimate by receiving an Sounding Reference Signal (SRS) or a Preamble code transmitted by a User Equipment (UE) to obtain a first frequency offset estimate value of a current sub-frame of the UE (S101); determining a frequency offset range in which the first frequency offset estimate value is located, and obtaining an initial frequency offset value corresponding to the first frequency offset estimate value according to the preset correspondence between the range of the frequency offset and the initial frequency offset value (S102); determining a phase difference of adjacent pilot positions based on a received pilot sequence included in the current sub-frame, and obtaining a dual pilot frequency offset estimate value according to the phase difference within the range limited by the initial frequency offset value corresponding to the first frequency offset estimate value (S103); and acquiring a frequency offset estimate value of the current sub-frame according to the initial frequency offset value corresponding to the first frequency offset estimate value and the dual pilot frequency offset estimate value (S104).