Abstract: Embodiments of the present invention provide an apparatus comprising a transceiver having a receiver and a transmitter connected through a segment of a calibration loop back path. The apparatus also comprises a control system configured to communicate with the transceiver. The calibration loop back path has an intentional phase shift that can be toggled between an off state and an on state by the control system. The control system is configured to calculate the intentional phase shift by examining the difference of a first and second phase angle. The first phase angle is obtained from the transmission of a first pair of signals with the intentional phase shift in the off state. The second phase angle is obtained from the transmission of a second pair of signals with the intentional phase shift in the on state.

Abstract: A system, method, and apparatus is disclosed for enabling a constant modulus algorithm (CMA) to be reliably used for blind equalization training of an equalizer. According to one embodiment, received signals in a binary phase shift keying (BPSK) format are converted to a quadrature phase shift keying (QPSK) format, to which CMA processing can be reliably applied for equalization. According to another aspect of this embodiment, the equalized QPSK signals are rotated to convert the signals to an equalized BPSK format for output.

Abstract: An apparatus and a method for calibrating IQ mismatch to ensure that an in-phase oscillating signal and a quadrature-phase oscillating signal are orthogonal to each other. The apparatus includes a mixer for mixing the in-phase oscillating signal with the quadrature-phase oscillating signal to generate an output signal, a control module for determining a control signal according to a low-frequency component of the output signal, and a phase adjusting module for adjusting the phase of a specific oscillating signal to ensure that the in-phase oscillating signal and the quadrature-phase oscillating signal are orthogonal to each other. The specific oscillating signal may be the in-phase or the quadrature-phase oscillating signal. The apparatus does not require a digital signal-processing unit to perform complex calculations nor requires additional oscillating sources for calibration. Hence, the circuit design is much simplified, and the consumption of system resources is significantly reduced.

Abstract: A baud rate acquisition circuit (10) for synchronizing a sampling signal with an input signal operates in broad rate sweeping and a rate fine tuning phases. In the rate sweeping phase, a timing error detector (24) examines the sampling signal generated by a decimator (16). If the sampling signal is outside a rate acquisition range from the target rate, a rate sweeping algorithm selects a new sampling rate. In response to the sampling rate within the rate acquisition range, the timing error detector (24) examines the asymmetry thereof to generate a rate correction signal to synchronize the sampling signal with the input signal. Next in the rate fine tuning phase, a multiplexer (22) routes the sampling signal through a square root filter (18). By examining the waveform shaped signal, the time error detector (24) synchronizes the sampling signal with the input signal with high accuracy.

Abstract: This invention provides a technique of easily encoding image data to generate encoded data having high image quality within a target code amount using a small memory capacity by image encoding processing of performing frequency transform and quantization of each pixel block. A frequency transform unit separates image data into low frequency band data and high frequency band data. A coefficient quantizing unit, coefficient encoder, and code amount controller operate to encode the high frequency band data within a predetermined amount. When the encoding processing of the high frequency band data has ended, the quantization parameter of the low frequency band data is set based on the generated code amount of the high frequency band data. A coefficient quantizing unit, coefficient encoder, code amount detector, and quantization parameter updating unit operate to encode the low frequency band data into codes within a low frequency band target code amount.

Abstract: A data receiver and a method for adjusting the same are provided. The data receiver has an equalizer, a clock data recovery unit, an equalizer controller, and a decoder. The equalizer compensates incoming signal according to a configuration, and outputs corrected signal. The CDR unit uses a clock to sample the corrected signal from the equalizer and generates phase information of the clock. The decoder decodes the raw data. Each cycle of the clock is divided into a plurality of phases, and the phase information indicates the one of the phases that the corrected signal sampled therein. In a testing mode, the equalizer controller applies a plurality of setup values to the configuration individually and records the phase information for tuning the configuration. Therefore, the accuracy of the equalizer is improved and the good signal quality is obtained.

Abstract: The conventional decision feedback equalizer has a drawback that can't decide symbols correctly because a simple slicer is used as a symbol detector. A decision feedback equalizer as a symbol detector uses a Trellis Coded Modulation (TCM) decoder whose Trace Back depth is 1 (TBD=1), to thereby decide symbols correctly without decoding delay.

Abstract: Embodiments include transceivers and transmit IQ imbalance correction methods. A transmitter lineup, which includes an equalizer and an RF modulator, receives a stream of baseband samples having real and imaginary components, processes the real components along a first channel, and processes the imaginary components along a second channel to produce processed real and imaginary components. The equalizer equalizes at least one of the processed real components and the processed imaginary components to compensate for offset frequency-dependent components of transmitter IQ imbalance. The RF modulator receives and modulates analog versions of the equalized samples, resulting in an analog RF signal. An embodiment also includes a balancer adapted to apply IQ gain and phase correction to the equalized samples to compensate for offset frequency-independent components of the transmitter IQ imbalance.

Abstract: Input image data is converted into vector data. The type of the input image data is determined. If it is determined that the input image data is of a first data type, information usable for a search is extracted from the input image data in processing of converting the input image data into the vector data, and information usable for a search is further extracted from the vector data later in the idle time of the image processing apparatus. If it is determined that the input image data is of a second data type, information usable for a search is extracted by performing region segmentation of the input image data. The extracted information is held in association with the vector data as additional information.

Abstract: An amplitude signal and a frequency signal are generated through processing of data. The frequency signal is angle modulated. The amplitude signal is adjusted based on a delay time and is amplitude amplified. The resultant signal from the angle modulation is amplitude modulated based on the resultant signal from the amplitude amplification to obtain a modulated signal. The modulated signal is used to calculate a delay between the amplitude signal and the frequency signal, which is used for feedback control of the delay time by which the amplitude signal is adjusted until no delay exists only in a test period. Through the signal generating, a sinusoidal signal is outputted as each of the amplitude signal and the frequency signal during the test period.

Abstract: An apparatus and method for correcting IQ imbalance are presented. An exemplary receiver for processing I and Q signals from a tuner includes: a non-decision directed (NDD) imbalance canceller coupled to receive the I and Q signals, and a decision directed (DD) imbalance canceller coupled to the non-decision directed imbalance canceller. The DD imbalance canceller converges after the NDD imbalance canceller converges, so as to correct IQ imbalances in the receiver. An exemplary method for processing I and Q signals from a tuner includes: (a) converging a NDD imbalance canceller to correct a majority of IQ imbalances, and (b) subsequently converging a DD imbalance canceller to correct a remainder of IQ imbalances not corrected in step (a). The apparatus and method correct frequency-dependent and frequency-independent IQ imbalances.

Abstract: Complex adaptive methods for complex information processing employ optimal individual convergence factors for real and imaginary components of the weight vector. For wireless receivers operating on QPSK, a Complex IA-ICA performs better than existing Complex Fast-ICA methods in terms of accuracy and convergence speed, can process such complex signals in time-varying channels, and employs time-varying and time-invariant convergence factors, independent for the real and imaginary components of the system parameters, and provide individual or group system parameter adjustments. Such systems employ the within complex adaptive ICA with individual element adaptation (Complex IA-ICA).

Abstract: A device for minimizing group delay mismatch in a quadrature receiver (402) having an in-phase channel and a quadrature-phase channel. The device includes a microprocessor (465) for determining an I/Q phase imbalance between digital signals on an in-phase channel and digital signals on a quadrature-phase channel, and for calculating a group delay mismatch between the in-phase channel and the quadrature-phase channel, and a group delay equalizer (426). The group delay equalizer includes a delay line (505 and 605) for delaying one of the in-phase channel and the quadrature-phase channel by one of a plurality of delays, based on an amount of group delay mismatch.

Abstract: A system for determining in-phase and quadrature-phase mismatch in a multiple-input, multiple-output (MIMO) communication architecture includes at least one transmitter coupled to at least one receiver and an in-phase (I) signal, quadrature-phase (Q) signal mismatch element configured to receive and Q signal components over at least one communication channel, the I/Q signal mismatch element also configured to provide a signal representing gain imbalance, a signal representing quadrature error and a signal representing I/Q offset.

Abstract: Circuitry for receiving a serial data signal (e.g., a high-speed serial data signal) includes adjustable equalizer circuitry for producing an equalized version of the serial data signal. The equalizer circuitry may include controllably variable DC gain and controllably variable AC gain. The circuitry may further include eye height and eye width monitor circuitry for respectively producing first and second output signals indicative of the height and width of the eye of the equalized version. The first output signal may be used in control of the DC gain of the equalizer circuitry, and the second output signal may be used in control of the AC gain of the equalizer circuitry.

Abstract: Disclosed herein are systems and methods for accurate removal of I/Q mismatch in received signals of an analog FM receiver. The analog FM receiver includes a down-converter, a calibration circuit that estimates I/Q mismatch values, and a compensation circuit that uses the estimated mismatch values to reduce the effects of I/Q mismatch. In one aspect, the calibration circuit uses an adaptive dual-parameter compensation scheme to iteratively correct the received signals by approximating a coefficient value and an amplitude value that minimize the signals' amplitude variation from the amplitude value. In another aspect, phase and amplitude mismatch parameters can be determined using the coefficient value.

Abstract: A decoding unit for decoding a modulated signal includes a summing unit having i) a first input, ii) a second input, and iii) an output. The summing unit is configured to i) receive the modulated signal at the first input, ii) receive a feedback signal at the second input, and iii) output a first waveform based on the modulated signal and the feedback signal. A demodulation unit has a first demodulation pathway and a second demodulation pathway. The demodulation unit is configured to i) select between the first demodulation pathway and the second demodulation pathway, ii) receive and demodulate the modulated signal with the first demodulation pathway, and iii) receive and demodulate the first waveform with the second demodulation pathway. The remodulation unit is configured to selectively i) output a first complex waveform based on the modulated signal, and ii) output a subsymbol waveform of the first waveform.

Abstract: Methods and apparatus are provided for receiving an input signal. In an embodiment of the invention a current candidate QAM constellation can be selected. A mean squared error of a signal responsive to the input signal can be computed based on the current candidate QAM constellation. The computed mean squared error can be compared to a threshold error value. The invention advantageously allows for relatively efficient and relatively reliable equalization of signals transmitted with an unknown QAM constellation, and allows for relatively efficient and reliable recovery of the unknown QAM constellation.

Abstract: A novel and useful apparatus for and method of nonlinear adaptive phase domain equalization for multilevel phase coded demodulators. The invention improves the immunity of phase-modulated signals (PSK) to intersymbol interference (ISI) such as caused by transmitter or receiver impairments, frequency selective channel response filtering, timing offset or carrier frequency offset. The invention uses phase domain signals (r, ?) rather than the classical Cartesian quadrature components (I, Q) and employs a nonlinear adaptive equalizer on the phase domain signal. This results in significantly improved ISI performance which simplifies the design of a digital receiver.

Abstract: In a method and apparatus for processing a received navigation signal x?(t) of a satellite navigation system, the received navigation signal x?(t) contains at least four navigation codes. The navigation codes are modulated by a complex BOC signal and a defined subcarrier frequency such that the resulting signal has a constant amplitude. The resulting signal is then also modulated by means of a carrier signal. The navigation signal x?(t) is demodulated and then processed by a complex correlation with at least one reference signal.

Abstract: An algorithm is provided that computes values for correcting for DC offsets of baseband I and Q signals, compensates for amplitude imbalance between the baseband I and Q signals and compensates for phase imbalance between the baseband I and Q signals. Test signals are injected into the I and Q signal processing paths (either or both of the receiver path and baseband path in a modem). Samples of the I and Q signals produced in the I and Q signal processing paths are generated and analyzed to determine DC offsets of the I and Q signals, amplitude imbalance between the I and Q signals and phase imbalance with respect to a desired orthogonal relationship between the I and Q signals.

Abstract: Methods and apparatus are provided for receiving a signal transmitted with a quadrature amplitude modulation (QAM) constellation. In an embodiment of the invention, a blind equalization algorithm can be performed to equalize the signal, and a constellation recovery algorithm can be performed to identify a constellation index corresponding to the QAM constellation. The blind equalization algorithm can be altered based on the identified constellation index. The invention advantageously allows for relatively efficient and relatively reliable equalization of signals transmitted with an unknown QAM constellation.

Abstract: Methods and systems for filtering include accessing first and second signals produced from an input signal and producing first and second filtered outputs, which correspond to the first and second signals, based on a filtering characteristic. The filtering characteristic can include a first filtering coefficient weighting the first and second signals. The filtering characteristic can include a second filtering coefficient weighting third and fourth signals, the third and fourth signals being produced prior to the first and second signals. The first and second filtering coefficients can include matrices which have non-symmetrical terms.

Abstract: First and second data is transmitted simultaneously by modulating a first set of signal constellation points, corresponding to the first data, with second data thereby creating a second set of constellation points. The second set of constellation points comprises two subsets corresponding to two values of the first data. The constellation points are selected such that the minimum distance between the first and second subsets is not less than the minimum distance between the constellation points of the first set of constellation points.

Abstract: Method in a diversity antenna GMSK receiver of determining interference canceling equalizers and corresponding equalizers are described. The method includes providing a plurality of GMSK received signals; de-rotating and splitting each of the plurality of received signals into in phase and quadrature parts to provide a multiplicity of real valued branches; calculating linear equalizers for each of a multiplicity of subsets of the multiplicity of real valued branches; and providing an interference canceling equalizer for each of the multiplicity of real valued branches, each interference canceling equalizer corresponding to a weighted combination of the linear equalizers. A corresponding equalizer includes eight linear equalizers processing four branch signals corresponding to real (I) and quadrature (Q) parts of a GMSK diversity signal from two antennas.

Abstract: Clock synchronization resistance is improved against selectivity fading without degrading the stability of clock phase synchronization control. Clock phase detector 7, which forms part of a clock reproduction PLL, is preceded by orthogonal component equalizer 6 for removing only orthogonal component interference wave not affecting the clock regeneration, thereby assuring an opening of an eye pattern and maintaining the gain of clock phase detector 7 without erasing the clock phase information. Accordingly, even when inter-symbol interference is caused in a received signal by selectivity fading or the like, part of the interference component can be erased to keep the opening of the eye pattern wide. Thus, the clock synchronization resistance can be improved against the selectivity fading without degrading the stability of the clock phase synchronization control.

Abstract: A computerized system simulates a non-linear Decision Feedback Equalizer. The computerized system includes a user interface, an output port, and a controller coupled to the user interface and to the output port. The controller is configured to (i) receive electronic design automation commands from a user through the user interface, (ii) generate, as an electronic model of the non-linear Decision Feedback Equalizer, an electronic representation of a linear filter in response to the electronic design automation commands, and (iii) integrate the electronic representation of the linear filter into an electronic circuit design having other electronic representations of other electronic circuits. The electronic circuit design is externally accessible through the output port.

Abstract: A cross polarization interference canceling apparatus of the present invention includes: error detector 26 for extracting a difference between a demodulated signal that is the main polarization signal in which compensation for cross polarization interference has been made and the received signal which indicates an ideal state of the main polarization, and outputting an error signal that indicates the extracted difference; phase noise detector 27 for outputting a phase noise difference by comparing a cross polarization interference compensating signal that is the opposite polarization signal in which compensation for cross polarization interference has been made with the error signal; a control signal generator for generating a control signal corresponding to the phase noise difference; and phase rotator 18? disposed prior to, or posterior to, a cross polarization interference canceller for generating the cross polarization interference compensating signal, for controlling the phase of the cross polarization i

Abstract: Aspects of a method and system for a fast-switching Phase-Locked Loop using a Direct Digital Frequency synthesizer may include generating a second signal from a first signal by: translating an inphase component of said first signal in frequency via a filtered fast-switching oscillating signal generated using at least a direct digital frequency synthesizer (DDFS), and translating a corresponding quadrature component of said first signal in frequency via a phase-shifted version of said generated filtered fast-switching oscillating signal. The inphase and quadrature components of the first signal may be multiplied with the filtered fast-switching oscillating signal and a phase-shifted version of the filtered fast-switching oscillating signal, respectively.

Abstract: Some embodiments discussed relate to an apparatus and method for processing signals, comprising receiving an input signal and forming a stream of digital samples of the input signal by sampling at a sampling frequency and mixing the stream of digital samples using a mixer sequence having a sine sequence and a cosine sequence based on the sampling frequency to generate an input sequence, each of the sine sequence and the cosine sequence including a plurality of components in an arrangement such that at least one of the components has a zero value and the remaining components has a non-zero value, and filtering the input sequence using a plurality of polyphase filter parts, each corresponding to the non-zero components of the sine sequence and the cosine sequence, and selectively combining the outputs of the polyphase filter parts to generate an in-phase sequence and a quadrature sequence.

Abstract: An orthogonal frequency division multiplexing (OFDM) equalizer includes a memory that stores OFDM frame information, a partial sum calculator configured to calculate a partial sum of a data cell corresponding to an OFDM reception signal based on a current pilot cell and a fixing coefficient corresponding to the current pilot cell, an adapting coefficient calculator configured to calculate a channel response of the data cell and calculate an adapting coefficient based on the calculated channel response and an interpolated channel response, an interpolated channel response calculator configured to calculate the interpolated channel response based on the partial sum and the adapting coefficient, and a channel compensation unit configured to output a corrected OFDM reception signal based on the fast Fourier transformed OFDM reception signal and the interpolated channel response. Related receivers and channel equalization methods are also disclosed.

Abstract: Apparatus and a method for deriving a power measurement summation for use in universal mobile telecommunications system user equipment are disclosed. Conversion from a logarithm scale to a linear scale for summation and back again is avoided. The technique obviates the need for a mathematical processor to convert power measurements in a logarithmic scale (e.g. decibels dB, or dBw) into a linear scale (e.g. mW) to sum the power measurements or a ratio. The summed power component is calculated using data stored in the device (e.g. look up tables) without any need for conversion of the scale used.

Abstract: An apparatus and a method to track the channel response for subcarriers in an OFDM receiver for a packet of information that includes a known transmitted part. The receiver has a signal-to-tone transformer to determine subcarriers corresponding to a received packet. The method stores a function of an initial estimate of the channel response for a subcarrier, and accepts a pre-decision constellation point value that is a post channel correction using a first estimate of the channel response. The method includes: makes a decision using the pre-decision constellation point value, re-modulates the decision to form a post-decision constellation point value, and forms a complex valued product of the function of the first estimate for the subcarrier and the complex-valued ratio of the pre-decision and post-decision values. This complex valued product forms a measure of the current channel estimate to use for updating the stored quantity.

Abstract: A method and apparatus for compensating for a mismatch in a radio frequency (RF) quadrature transceiver using a direct-conversion scheme is provided. The method includes setting an amplification gain for a baseband quadrature signal to be larger than an amplification gain for a baseband in-phase signal in a reception module; receiving only a baseband in-phase signal in a transmission module; and compensating for a phase mismatch on a basis of a signal output from a quadrature output port. The apparatus includes a phase mismatch compensator which sets an amplification gain for a baseband quadrature signal to be larger than an amplification gain for a baseband in-phase signal in a reception module, inputs only a baseband in-phase signal to a transmission module, and compensates for a phase mismatch on a basis of a signal output from a quadrature output port.

Abstract: A method for communication using a modulation scheme defined in a signal space includes determining demodulation confidence levels at a plurality of points distributed over the signal space. Weights are assigned to the respective points responsively to the demodulation confidence levels. A signal is received and demodulated using an adaptive loop so as to derive a corresponding signal point in the signal space. The adaptive loop is adjusted responsively to a weight assigned to the derived signal point.

Abstract: Methods and apparatus are provided for receiving an input signal. In an embodiment of the invention a current candidate QAM constellation can be selected. A mean squared error of a signal responsive to the input signal can be computed based on the current candidate QAM constellation. The computed mean squared error can be compared to a threshold error value. The invention advantageously allows for relatively efficient and relatively reliable equalization of signals transmitted with an unknown QAM constellation, and allows for relatively efficient and reliable recovery of the unknown QAM constellation.

Abstract: For a given channel and a filter having at least one filter tap, a set of at least one weight value is determined for the at least one filter tap according to which at least one weight value substantially minimizes a gradient of a frequency response for the given channel and substantially maximizes energy of the frequency response for the given channel within a predetermined bandwidth.

Abstract: A feedback equalizer includes a summing unit having an output and first input for receiving a modulated signal, which includes a symbol defined by a first number of chips. A subsymbol processor is coupled to the output of the summing unit. The symbol processor is capable of generating a subsymbol waveform upon receipt of a second number of chips of the symbol. The second number is less than the first number. A feedback filter is coupled to a second input of the summing unit and the symbol processing unit to selectively filter the subsymbol waveform from the modulated signal.

Abstract: A method and apparatus for a feed forward equalizer for a communication system are described. An equalizer comprising a tapped filter having multiple filter multipliers and a summing element is described. The equalizer further comprises a correlator having multiple correlator multipliers, with each correlator multiplier having a corresponding integrator, a set of shared delay elements to connect to the filter multipliers and the correlator multipliers; and an error signal generator to connect to the correlator.

Abstract: A method of optically equalizing a multi-level (amplitude or phase) optical signal through the effect of an optical equalizer wherein the optical equalizer (OEQ) is placed at either a transmission end or a receiver end of the optical communications link and a tap delay characteristic of the OEQ need not be determined by symbol spacing, rather it may advantageously be adjusted to desirably compensate non-linear mapping performed in the modulation process or simultaneous operation on a plurality of wavelength division multiplexed (WDM) channels.

Abstract: An apparatus and method for adaptively correcting I/Q imbalance, which is used in a receiver for correcting a received I/Q imbalanced signal to thus eliminate the I/Q imbalance. First, an interference amount caused by interference from an imbalanced in-phase signal to an imbalanced quadrature-phase signal is computed and accordingly subtracted from the quadrature-phase signal, so that a corrected quadrature-phase signal without phase imbalance is obtained. Next, a power of output in-phase signal, a power of output quadrature-phase signal, and a target are compared to thus determine an in-phase scaling factor and a quadrature-phase scaling factor. Finally, the imbalanced in-phase signal is multiplied by the in-phase scaling factor to thus obtain the output in-phase signal, and the corrected quadrature-phase signal is multiplied by the quadrature-phase scaling factor to thus obtain the output quadrature-phase signal.

Abstract: A second-order Volterra filter has a quadratic section including a plurality of multiplication units that multiply a first input signal with a second input signal. One of the multiplication units employs a signal not delayed from the first input signal, as the second input signal. A remaining one of the multiplication units employs a signal delayed a preset time from the first input signal, as the second input signal. The one of the multiplication units includes a multiplier that multiplies the signal output from the one of the multiplication units and a signal output from each of one or more delay units, each with a preset coefficient. A step gain parameter for updating each preset coefficient of a multiplier of the remaining one of the multiplication units is twice a step gain parameter for updating each preset coefficient of the multiplier of the one of the multiplication units.

Abstract: Exemplary embodiments of the present invention provide an equalizer combined with a decoder and a method of updating filter coefficients. The method may include calculating output error signals ek, multiplying the output error signals by a parameter, obtaining a partial value by multiplying a delayed decoder decision stored in a filter delay line corresponding to an i-th filter coefficient by the result obtaining a partial value by multiplying a constant by a feedback coefficient and obtaining an updated value by adding the two partial values.

Abstract: Methods and apparatus are provided for receiving a signal transmitted with a quadrature amplitude modulation (QAM) constellation. In an embodiment of the invention, a blind equalization algorithm can be performed to equalize the signal, and a constellation recovery algorithm can be performed to identify a constellation index corresponding to the QAM constellation. The blind equalization algorithm can be altered based on the identified constellation index. The invention advantageously allows for relatively efficient and relatively reliable equalization of signals transmitted with an unknown QAM constellation.

Abstract: A communication receiving system, an equalizer, and a method for mitigating a burst noise effect of a signal are provided. The equalizer is configured to compensate the signal received from a communication channel. The communication receiving system comprises a receiver, the equalizer, and a detection module. The receiver transmits the signal to the equalizer after receiving the signal. The equalizer compensates the signal and adapts its weighting factors by modifying a correction term upon detection of burst noise. Thereby, the burst noise effect of the signal is mitigated, and the probability that the equalizer survives the burst noise condition increases. Thus, the quality of communication systems under burst noise cases may be enhanced under without increasing the complexity of hardware.

Abstract: An apparatus and method for adaptively correcting I/Q imbalance, which is used in a receiver for correcting a received I/Q imbalanced signal to thus eliminate the I/Q imbalance. First, an interference amount caused by interference from an imbalanced in-phase signal to an imbalanced quadrature-phase signal is computed and accordingly subtracted from the quadrature-phase signal, so that a corrected quadrature-phase signal without phase imbalance is obtained. Next, a power of output in-phase signal, a power of output quadrature-phase signal, and a target are compared to thus determine an in-phase scaling factor and a quadrature-phase scaling factor. Finally, the imbalanced in-phase signal is multiplied by the in-phase scaling factor to thus obtain the output in-phase signal, and the corrected quadrature-phase signal is multiplied by the quadrature-phase scaling factor to thus obtain the output quadrature-phase signal.

Abstract: A receiving method receiving an OFDM signal including a first OFDM symbol having first and second pilot signals allocated to first and second subcarriers positioned symmetric on the frequency axis, and a second OFDM symbol having third and fourth pilot signals allocated to the first and the second subcarriers, a difference between a product of the first pilot signal and a complex conjugate of the fourth pilot signal and a product of the third pilot signal and a complex conjugate of the second pilot signal being non-zero, estimating a first coefficient representing a change components of an amplitude and a phase, and a second coefficient representing an interference component, using first and second received pilot signals corresponding to the first and third pilot signals, estimating from the first and second coefficients IQ imbalance, and compensating the influence of amplitude and phase errors in accordance with the IQ imbalance.

Abstract: Aspects of a method and system for a fast-switching Phase-Locked Loop using a Direct Digital Frequency synthesizer may include generating a second signal from a first signal by: frequency translating an inphase component of the first signal utilizing a filtered fast-switching oscillating signal generated using at least a direct digital frequency synthesizer (DDFS), and frequency translating a corresponding quadrature component of the first signal utilizing a phase-shifted version of the generated and filtered fast-switching oscillating signal. The inphase and quadrature components of the first signal may be multiplied with the filtered fast-switching oscillating signal and a phase-shifted version of the filtered fast-switching oscillating signal, respectively.

Abstract: Described are methods and circuits for margin testing digital receivers. These methods and circuits prevent margins from collapsing in response to erroneously received data, and can thus be used in receivers that employ historical data to reduce intersymbol interference (ISI). Some embodiments detect receive errors for input data streams of unknown patterns, and can thus be used for in-system margin testing. Such systems can be adapted to dynamically alter system parameters during device operation to maintain adequate margins despite fluctuations in the system noise environment due to e.g. temperature and supply-voltage changes. Also described are methods of plotting and interpreting filtered and unfiltered error data generated by the disclosed methods and circuits. Some embodiments filter error data to facilitate pattern-specific margin testing.

Abstract: Methods and systems for filtering an input signal include receiving a first demodulated signal produced by multiplying a first generated signal with a received input signal, receiving a second demodulated signal produced by multiplying a second generated signal with the received input signal, and producing first and second filtered output signals by applying a transfer function to the first and second demodulated signals, wherein the transfer function comprises a first filtering coefficient, wherein the first filtering coefficient defines a matrix comprising one or more non-symmetrical terms. An application of the transfer function can compensate for one or more of an amplitude mismatch between the first and second generated signals, a phase mismatch between the first and second generated signals, and one or more frequency handling characteristics of channels used to produce the first and second demodulated signals.