Abstract: Systems, methods, and other embodiments associated with a method for estimating a channel between a wireless transmitter and a wireless receiver are described. According to one embodiment, a method includes receiving a signal that includes non-pilot data that is not known to a receiver of the signal; determining an estimated channel for the signal based, at least in part, on the non-pilot data; processing the signal based, at least in part, on the estimated channel to produce an equalized signal; and decoding the equalized signal to produce output data.

Abstract: An OFDM communication system performs time domain channel estimation responsive to received symbols before the symbols are processed by a fast Fourier transform. The communication system generates virtual pilots from actual pilots to improve the stability and quality of channel estimation. The system generates a reference signal from the actual and virtual pilots and correlates the resulting reference signal with a signal responsive to the received symbol to generate an initial channel impulse response (CIR) and to determine statistics about the channel. In some circumstances, the resulting reference signal is correlated with a modified symbol in which the actual and virtual pilot locations are emphasized and the data locations are deemphasized. Time domain channel estimation iteratively improves on the initial CIR. The system determines channel estimates for data only symbols through averaging such as interpolation.

Abstract: A method for receiving signals over a power line network, within the power line network at least one transmitter and at least one receiver communicate via at least two channels, each of the channels having a respective feeding port of the at least one transmitter and a respective receiving port of the at least one receiver, and the receiver having at least two receiving ports. The method determines a channel characteristic of each of the channels, applies a receiving port selection criterion based on the channel characteristic, and selects an excluded receiving port among the at least two receiving ports based on the receiving port selection criterion, the excluded receiving port is not used during further communication.

Abstract: A rate-adaptive method of communicating over a multipath wireless communication system uses multiple links such that each end of a link uses multiple transmit and receive antennas. A number of independent streams that are to be transmitted for each link is determined based on an overall system performance measure. In addition, the system may also jointly determine the best modulation, coding, power control, and frequency assignment for each link, based on an overall system performance measure. In OFDM systems, the number of independent streams, as well as the modulation, coding, and power control, may be determined on a tone-by-tone basis based on an overall system performance measure.

Abstract: Systems and methods for downlink scheduling in wireless communications systems are described. In some embodiments, a method includes: applying channel prediction at a transmitter for transmitting information to one or more mobile devices; predicting channel state information for a channel over which the information is transmitted, the channel state information being based, at least, on the channel prediction; determining a precoding matrix to apply to the information, the determining the precoding matrix being based, at least, on predicted channel state information; and scheduling transmission of the information to the one or more mobile devices based, at least, on an asymptotic ergodic rate for the one or more mobile devices. The asymptotic ergodic rate can be based on large-scale channel behavior and a maximum Doppler shift between the mobile devices.

Abstract: Systems and methods are provided, for estimating a channel based on previous channel estimations from the same source. Embodiments disclosed herein enable removal of the timing variation (from burst to burst) so that the channel can be more accurately estimated. Embodiments provide several systems and methods for averaging channel estimation information from each of the bursts. The systems and methods disclosed herein advantageously improve channel estimation accuracy and reduce modulation error.

Abstract: Systems/methods for computing a power spectral density estimate for a noise signal. Where the noise signal appears in two channels (a single channel), n successive data acquisitions from the two channels (the single channel) are used to compute n respective cross (power) spectral densities, which are then averaged. The averaged cross (power) spectral density may then be smoothed in the spectral domain. The magnitude of the smoothed cross (power) spectral density comprises an estimate for the noise power spectral density. An effective number of independent averages may be computed based on the number n, the time-domain window applied to the acquired sample sets, the amount of overlap between successive sample sets, and the shape of the frequency-domain smoothing function. A statistical error bound (or uncertainty measure) may be determined for the power spectral density estimate based on the effective number of averages and the averaged single-channel and cross-channel spectral estimates.

Abstract: According to an aspect of the embodiment, a signal transmission apparatus includes a sine wave output unit that outputs a sine wave to a transmission path, network analyzers and that analyze signals on the transmission path, an S parameter measurement unit that measures S parameters based on the analysis, a selection unit that selects a plurality of combinations of an amplitude, an emphasis characteristic, and an equalization characteristic based on the S parameters, measurement units that measure a BER or an eye opening of the transmission path for the plurality of combinations, and a setting unit that extracts single combination based on the measurement and that sets the amplitude, the emphasis characteristic, and the equalization characteristic to a transmission unit and a reception unit.

Abstract: A selected rate is received for an apparatus based on a hypothesized signal-to-noise-and-interference ratio (SINR) for the apparatus, and characterized statistics of noise and interference observed at a receiver for the apparatus. Data are processed in accordance with the rate selected for the apparatus.

Abstract: A radio frequency receiver comprising a receiver module, an intermediate frequency (“IF”) module, a synthesizer module and a controller module. The receiver module receives a radio frequency signal and provides a baseband in-phase signal and a baseband quadrature signal, eliminates a sideband of the in-phase and quadrature signals to create a first and a second signal, downconverts the first and second signal to a first and a second IF signal, and selects one of the first or second IF signals. The IF module receives the first or second IF signal, performs analog-to-digital conversion on the first or second IF signal, and demodulates the digitally converted IF signal. The synthesizer module receives a programmable reference signal, downconverts the reference signal to an IF feedback signal, downconverts the reference signal to a baseband feedback signal, provides the IF feedback signal to the IF module, and provides the baseband feedback signal to the receiver module.

Abstract: A receiver in a multiple input, multiple output (MIMO) system is configured to perform a method for generating channel quality feedback information. The method includes receiving, from a MIMO transmitter, pilot signals in each MIMO layer. The method also includes estimating the MIMO channel using the received pilot signals and performing a QR decomposition of the estimated MIMO channel. The method further includes predicting a probability of error for each MIMO layer after the QR decomposition of the estimated MIMO channel. The method still further includes determining a corresponding signal-to-noise ratio (SNR) for each MIMO layer based on the probability of error for the each MIMO layer.

Abstract: An evaluation device is adapted for providing a transceiver system with performance information thereof. The transceiver system models a channel between a transmitter and a receiver thereof using Nakagami distribution with a fading parameter. The evaluation device includes a threshold value computing module, a signal-to-noise ratio (SNR) setting module, a probability computing module, and an output module. The threshold value computing module is operable to compute a threshold value based upon a given capacity. The SNR setting module is operable to set an average SNR for the channel between the transmitter and the receiver of the transceiver system. The probability computing module is operable, based upon the fading parameter, the average SNR and the threshold value, to compute an outage probability of the transceiver system corresponding to the given capacity. The output module is operable to provide the transceiver system with the average SNR and the outage probability.

Abstract: A new method of performing interference estimation to allow the data packets to be efficiently delivered in an OFDM system. The interference estimation is performed on average over each frame for each mobile station individually in both frequency and time domains. Based on the estimated interference, the CIR can be determined by the BTS based on channel response estimates made by the BTS, or by the MS based on channel response estimates made for the uplink assuming a symmetrical channel. Numerical results show that the CIR estimation error could be very small if a sub-channel is considered as the minimum transmission unit. In terms of the aggregate throughput, the interference estimation method can provide a significant gain.

Abstract: Embodiments relate to a method and apparatus for low complexity robust reconstruction of noisy signals. The method includes receiving, by a receiving unit, a set of noisy measurements. The method further includes obtaining, by a reconstruction unit, an estimate of the signal based on the set of noisy measurements and a plurality of parameters. The plurality of parameters includes a projection matrix that transforms the signal from a sparse domain to a compressed domain and postulated parameters.

Abstract: Methods for reducing ingress in a neighborhood node of a cable communication system. The node includes an RF hardline coaxial cable plant and multiple subscriber service drops to convey upstream information from multiple subscriber premises over an upstream path bandwidth. A test signal having a frequency falling within the upstream path bandwidth is transmitted proximate to one or more potential points of ingress into the hardline cable plant. Based on signal amplitudes at the test signal frequency representing test signal ingress into the hardline cable plant, one or more faults in the hardline cable plant are specifically identified and remediated so as to significantly reduce a noise power in the node in at least a portion of the upstream path bandwidth below approximately 20 MHz. In one example, hardline plant-related and/or subscriber-related faults are remediated so as to significantly reduce ingress arising from terrestrial short wave radio signals.

Abstract: Impulse noise from nearby or intense electrical sources can disrupt communications over digital subscriber lines (DSL). The characterization of the nature, timing and length of impulse noise sources present on a DSL loop is a critical first step in mitigating the effect of impulse noise on DSL communications. DSL standards provide histograms for impulse length and inter-arrival time of impulses. These histograms can be used to derive the nature, maximum frequency and other statistics related to impulse noise on a DSL line.

Abstract: A method of determining a cell identity in a wireless communication system is disclosed. The present invention includes the steps of obtaining a segment ID and a sequence index from an SA-preamble (secondary advanced preamble) sequence received from a base station and determining the cell identity using the segment ID and the sequence index. In this case, the cell identity corresponds to one SA-preamble sequence and a cell identity adjacent to the cell identity corresponds to an SA-preamble sequence having a complex conjugate relation of the one SA-preamble sequence.

Abstract: A system and method for determining a propagation delay between nodes in a packet network are provided. The system and method include sending a ping packet from a source node to a destination node, determining an intermediate node delay of the ping packet at an intermediate node and recording the intermediate node delay in the ping packet and determining the propagation delay at the destination node by using the intermediate node delay.

Abstract: For channel estimation in a spectrally shaped wireless communication system, an initial frequency response estimate is obtained for a first set of P uniformly spaced subbands (1) based on pilot symbols received on a second set of subbands used for pilot transmission and (2) using extrapolation and/or interpolation, where P is a power of two. A channel impulse response estimate is obtained by performing a P-point IFFT on the initial frequency response estimate. A final frequency response estimate for N total subbands is derived by (1) setting low quality taps for the channel impulse response estimate to zero, (2) zero-padding the channel impulse response estimate to length N, and (3) performing an N-point FFT on the zero-padded channel impulse response estimate. The channel frequency/impulse response estimate may be filtered to obtain a higher quality channel estimate.

Abstract: A system and methods of subtraction of a shaped component of a noise reduction spectrum from a combined signal are disclosed. In an embodiment, a method includes identifying a selected frequency component using a corresponding frequency component of a noise sample spectrum. A noise set is comprised of the noise sample spectrum. The method further includes forming a shaped component of a noise reduction spectrum using a processor and a memory based on a combined signal spectrum and the selected frequency component. The method also includes subtracting the shaped component of the noise reduction spectrum from the combined signal spectrum.

Abstract: A method, receiver and program for processing radio signals to identify an n-ray channel condition. The method comprises: receiving signal samples and estimating a plurality of channel taps from the a samples; estimating for each of the channel taps a signal power and a disturbance power; filtering the signal power to provide a filtered signal power quantity; filtering the disturbance power to provide a filtered disturbance power quantity; using the filtered power quantities to determine n strongest channel taps; generating first and second comparison parameters using the strongest channel taps and at least one other channel tap; providing a comparison result based on the first and second comparison parameters and a thresh-old value, and; identifying an n-ray channel condition from the comparison result.

Abstract: A method for determining a quantized channel vector in a terminal of a Multiple Input Multiple Output communication system includes determining a channel quality of a channel between a base station and the terminal and determining the quantized channel vector from a plurality of quantized channel vectors based on the determined channel quality. The determined quantized channel vector provides a predefined channel property value.

Abstract: Disclosed herein are embodiments of an improved built-in self-test (BIST) circuit and an associated method for measuring phase and/or cycle-to-cycle jitter of a clock signal. The embodiments of the BIST circuit implement a Variable Vernier Digital Delay Locked Line method. Specifically, the embodiments of the BIST circuit incorporate both a digital delay locked loop and a Vernier delay line, for respectively coarse tuning and fine tuning portions of the circuit. Additionally, the BIST circuit is variable, as the resolution of the circuit changes from chip to chip, and digital, as it is implemented with standard digital logic elements.

Abstract: Techniques for estimating desired signal power and noise power of a signal received over a communications channel. In an aspect, a pilot autocorrelation matrix is derived based on certain assumptions about the time delay profile, Doppler profile, and/or spatial correlation of the channel. The pilot autocorrelation matrix is decomposed into a set of eigenvectors. From the eigenvector decomposition, a set of dominant eigenvectors is selected to estimate the signal power, while a set of non-dominant eigenvectors is selected to estimate the noise power. The techniques may readily be applied to arbitrary pilot patterns and to a wide array of SNR ranges and channel conditions.

Abstract: A method and apparatus for crosstalk channel estimation based on a measured signal-to-noise (SNR) of a loaded line. The method for channel estimation includes: loading, on a newly added line K, a combination of K?1 signals sent on lines 1 to K?1; obtaining a measured SNR of the line K loaded with the combination of the K?1 signals sent on the lines 1 to K?1; and calculating crosstalk channels of the line K according to K?1 coefficients of the K?1 signals sent on the lines 1 to K?1 and the measured SNR. Embodiments of the present invention may be used for relevant network communications systems such as xDSL systems.

Abstract: The present description relates to a method of using a terminal to adaptively feed back channel information relating to multi-cell cooperative communication includes: measuring an average signal-to-noise ratio of a virtual multi-antenna channel between a terminal and at least one cell to transmit same to a base station; receiving, from a base station, a number of allowable feedback bits determined on the basis of the average signal-to-noise ratio and cooperative communication information; selecting a codebook from a plurality of predetermined codebooks on the basis of the number of allowable feedback bits and the cooperative communication information; and quantizing channel information on a virtual multi-antenna channel using the selected codebook, and transmitting feedback information including the quantized channel information to a base station. The codebook may be selected to transmit the feedback information using the entire number of allowable feedback bits.

Abstract: Apparatuses, methods and systems of synchronizing a receiver to a desired signal are disclosed. One method includes obtaining synchronization information of an interfering signal, and adjusting an out-of-band response of a receiver filter based at least in part on the synchronization information of the interfering signal, wherein the in-band response of the receiver filter is determined by frequency components of the desired signal.

Abstract: A method for the generation of a signal including a minimum of disturbances and noise is provided. A method for the detection of a signal including a minimum of disturbances and noise is also provided. An element of the signal is functionally dependent on at least one further element of the signal.

Abstract: The present invention relates to arrangements and methods in a Digital Subscriber Line (DSL) system. The basic idea of the present invention is to reserve a first part of an available frequency band exclusively for vectored DSL transmission and reception. The remaining part of the available frequency band can then be used either for only standard non-vectored transmission or for both for vectored DSL and for standard non-vectored DSL transmission. Therefore, the present invention makes it possible to get the full benefit of vectored transmission, on at least the first part of the frequency band, even if the DSL vector system cannot handle all DSL modems.

Abstract: An evaluation device provides a transceiver system with performance information. The transceiver system models channels between a transmitter and a receiver thereof using Nakagami distribution with a fading parameter. The evaluation device includes a setting module, a computing module and an output module. The computing module is operable, based upon the fading parameter, an average SNR of the channels, a number of transmit antennas and a number of receive antennas, to estimate an average output SNR, a bit error rate and an outage probability related to signals received by the receiver. The output module is operable to provide the transceiver system with the average SNR and the estimated information as the performance information.

Abstract: Conventional mode adaptation does not account for the gain imbalance between channels for measurement and for data reception. Therefore, the precoder, which is selected based on the measurement channel, may not be the optimal precoder for the data reception channel. By maintaining relative SINR ordering between transmission modes, a receiver may select the transmission mode for a transmitter that maximizes the actual throughput even in the presence of inter-antenna gain increase or decrease.

Abstract: Examples are disclosed for determining a bit error rate (BER) associated with decoding data transmitted using space-time spreading (STS) in a wireless communication system.

Abstract: An arrangement (10) for noise rise estimation comprises a front end signal conditioning arrangement (9) and an interference whitener (14) connected thereto. The interference whitener (10) is arranged for providing interference whitening of a front end signal. A processor (20) is arranged for measuring received total wideband power received at the front end signal conditioning arrangement (9) a plurality of times. An estimate of a noise floor measure is computed by the processor (20) based on the measured received total wideband powers. The processor (20) determines an equivalent total wideband power of the output from the interference whitener (14). The processor (20) also calculates a noise rise measure, based on the equivalent total wideband power and the noise floor measure, and compensates the noise rise measure for the interference whitening. A digital receiver (12) is connected to the output from the interference whitener (14).

Abstract: A method for selecting a precoding matrix to be used in a MIMO communication system includes a transmitter, a receiver and a communication channel, wherein the precoding matrix is used by the transmitter to precode codewords to be transmitted to the receiver over the communication channel. At the receiver, an optimum precoding matrix within a codebook of precoding matrices is determined on the base of a metric related to the power of received signal layers. An indication is then fed back from the receiver to the transmitter useful to enable the transmitter to select the optimum precoding matrix from the codebook.

Abstract: Disclosed and recited herein are devices, systems, methods, and programs by which data is transmitted and, when receipt of the transmitted data has not been acknowledged, an impulse noise occurrence may be diagnosed at the transmitter based on flag streams associated with data transfer units corresponding to the transmitted data. Characteristics of the impulse noise occurrence may be diagnosed based on, at least, a number of consecutive error bits in at least one of the flag streams associated with the data transfer units corresponding to the transmitted data.

Abstract: A method and apparatus are provided for detecting network impairments through tilt-normalized measurement data, the method including: collecting data for a network signal; computing a best-fit tilt for the collected data; performing tilt-normalization of the collected data responsive to the computed best-fit tilt; and determining whether the tilt-normalized data crosses a threshold, and if so, pattern matching the tilt-normalized data to detect a network impairment; and the apparatus including: an input unit for collecting data from a network signal; a tilt unit connected to the input unit for computing a best-fit tilt for the collected data and performing tilt-normalization of the collected data responsive to the computed best-fit tilt; and a pattern matching unit connected to the tilt unit for determining whether the tilt-normalized data crosses a threshold, and if so, pattern matching the tilt-normalized data to detect at least one network impairment.

Abstract: Implementations of the present principles include methods and systems for retransmitting un-recovered information within a cognitive radio, anti-jamming system. In accordance with aspects of the present principles, encoding schemes may be optimized for retransmission by utilizing a jamming rate and a number of un-recovered packets to minimize packet loss and thereby enhance throughput. In addition, rateless encoding features may be employed to re-encode un-recovered portions of an information sequence for efficient retransmission.

Abstract: A synchronization method for a receiver includes generating, by a beacon detector, an operating signal by performing a logic operation on a baseband signal, and calculating, by a coarse sync block, a coarse FFT window start position value where a signal-to-noise ratio becomes maximized by estimating a noise level of the operating signal.

Abstract: A method for calculating coefficients of a filter and a method for filtering are provided. The invention directly factorizes a specific function in a cepstrum domain by spectral factorization and cepstrum technique to obtain coefficients of denominator function from the filter. In other words, the invention adopts a non-iterative algorithm to reduce computational complexity and avoid convergence due to calculating coefficients. Besides, the specific function of the invention includes a compensation function, so that a Fourier transform with greatly reduced size can be utilized in the spectral factorization to greatly save the computations and keep good system performance at a receiver.

Abstract: A method, system, network and device provide Smart Grid Radio Frequency Interference (RFI) detection. One or more symbols or chips present in one or more received radio frequency signals are detected and the presence of one or more erred symbols or chips in the detected one or more symbols present in the received one or more radio frequency signals determined. A correlation in time between the one or more erred symbols or chips and an infrastructure waveform associated with electrical infrastructure can be determined. When the determined correlation indicates the electrical infrastructure as a source of detectable radio frequency interference to a device, a pattern flag is generated. The pattern flag or pattern flag representation can be stored and/or transmitted.

Abstract: A method, system, network and device provide Smart Grid Radio Frequency Interference (RFI) detection. One or more symbols or chips present in one or more received radio frequency signals are detected and the presence of one or more erred symbols or chips in the detected one or more symbols present in the received one or more radio frequency signals determined. A correlation in time between the one or more erred symbols or chips and an infrastructure waveform associated with electrical infrastructure can be determined. When the determined correlation indicates the electrical infrastructure as a source of detectable radio frequency interference to a device, a pattern flag is generated. The pattern flag or pattern flag representation can be stored and/or transmitted.

Abstract: The diversity reception device includes an antenna switching unit configured to select and switch to a determined chain number of antennas out of a plurality of antennas; and an antenna interchange control unit configured to control the antenna switching unit to interchange an antenna. The antenna interchange control unit compares a carrier-to-noise ratio measured by a demodulation circuit of a demodulation unit of each chain, controls the antenna switching unit to sequentially switch connection with an antenna of a chain having a lowest carrier-to-noise ratio to connection with antennas connectable to the chain, and interchanges the antenna of the chain having a lowest carrier-to-noise ratio with an antenna estimated to have a highest carrier-to-noise ratio on the basis of the input level measured by the level detection unit or an antenna having a highest input level measured by the level detection unit among the connection-switched antennas.

Abstract: A power line communication modem includes a receiver that receives a noise signal over a power line channel. The signal is OFDM-modulated on a set of sub-carriers, the sub-carriers being separated by a frequency separation. The power line communication modem also includes a processor that identifies a presence of a radio service within one or more fine frequency bands with a first resolution bandwidth by analyzing a plurality of fine frequency bands. The first resolution bandwidth is smaller than the frequency separation. The power line communication modem additionally includes a transmitter that excludes a signal in at least one of the plurality of fine frequency bands, in which the presence of the radio service has been identified, before transmitting the excluded signal.

Abstract: A device for performing channel estimation in an OFDM system includes a non-volatile memory, a G matrix selector and a channel estimate generator. The non-volatile memory stores a set of G matrices indexed by signal to noise ratio, the G matrices being precalculated for a plurality of signal to noise ratios using a fixed Doppler frequency and a fixed delay spread. The G matrix selector uses a quantised signal to noise ratio to select a G matrix from the set of G matrices stored in the non-volatile memory. The channel estimate generator multiplies the selected G matrix by LS estimates for the reference signal to obtain a channel estimation.

Abstract: An apparatus and a method for reducing phase noise in measurement signals from a sensor are provided. The apparatus and method, in one aspect, may use a multiphase counter to obtain a count for each sensor signals time cycle and a filter to reduce noise from the obtained counts. A suitable reference frequency, including the reference frequency of the sensor, may be utilized by the multiphase counter.

Abstract: A method, system, network and device provide Smart Grid Radio Frequency Interference (RFI) detection. One or more symbols or chips present in one or more received radio frequency signals are detected and the presence of one or more erred symbols or chips in the detected one or more symbols present in the received one or more radio frequency signals determined. A correlation in time between the one or more erred symbols or chips and an infrastructure waveform associated with electrical infrastructure can be determined. When the determined correlation indicates the electrical infrastructure as a source of detectable radio frequency interference to a device, a pattern flag is generated. The pattern flag or pattern flag representation can be stored and/or transmitted.

Abstract: A network receiver and the adjusting method thereof, the network receiver includes a first delay unit, a second delay unit, a first processing unit and an adjusting circuit. The first delay unit is for delaying a first signal received from a first transmission line to generate a delayed first signal. The second delay unit is for delaying a second signal received from a second transmission line to generate a delayed second signal. The first processing unit is for processing a difference between the delayed first signal and the delayed second signal to generate first data. The adjusting circuit adjusts the first and second delay units to have a plurality of delay amount combinations, the first processing unit generates a plurality of first data respectively corresponding to the delay amount combinations, and the adjusting circuit adjusts delay amount of the first and second delay units according to the first data.

Abstract: An apparatus and method for generating a Channel Quality Indicator (CQI) in a wireless communication system are provided. The method includes receiving a Modulation and Coding Scheme (MCS) index and resource allocation information of a traffic channel and calculating a spectral efficiency at a particular time point, determining a temporary CQI index having a spectral efficiency closest to the calculated spectral efficiency in an index set, reading a CQI metric a time ? before the particular time point, determining, if the temporary CQI index is reported at the particular time point, an error rate based on the CQI metric, the error rate being a probability of an error occurring in a traffic channel after the time ?, receiving an error check result of the traffic channel transmitted at the particular time point and calculating a new error rate by applying a weight to the error check result and the error rate, and determining a CQI index to be fed back to a transmitter using the new error rate.

Abstract: An error correction coding device includes a time divider for dividing field data of L packets into N data packets and (L-N) parity packets, a first RS (Reed-Solomon) encoder adding parities of a predetermined number of bytes to the data packets, respectively, a storage unit for storing the data packets, and a second RS encoder generating parity packets corresponding to the stored data packets. An error correction decoding device includes a first RS decoder correcting errors in a horizontal direction of the field data using parities of the predetermined number of bytes included in the L packets, a storage unit storing the error-corrected data packets, and a second RS decoder correcting errors in a vertical direction of the field data using the parity packets. Thus, the error correction can be strongly performed using parities existing in the horizontal and vertical directions with respect to the field data.

Abstract: An error correction coding device includes a time divider for dividing field data of L packets into N data packets and (L-N) parity packets, a first RS (Reed-Solomon) encoder adding parities of a predetermined number of bytes to the data packets, respectively, a storage unit for storing the data packets, and a second RS encoder generating parity packets corresponding to the stored data packets. An error correction decoding device includes a first RS decoder correcting errors in a horizontal direction of the field data using parities of the predetermined number of bytes included in the L packets, a storage unit storing the error-corrected data packets, and a second RS decoder correcting errors in a vertical direction of the field data using the parity packets. Thus, the error correction can be strongly performed using parities existing in the horizontal and vertical directions with respect to the field data.