Abstract: An apparatus and method of low complexity optimization solver for path smoothing with constraint variation are herein disclosed. According to one embodiment, an apparatus includes an L1 central processing unit (CPU) configured to transform an L1 trend filtering problem to a primal-dual linear programming (LP) optimization problem pair; and an L1 arithmetic logic unit (ALU) connected to the L1 CPU and configured to solve a primal problem of the primal-dual LP optimization problem pair.

Abstract: An apparatus and method of low complexity optimization solver for path smoothing with constraint variation are herein disclosed. According to one embodiment, an apparatus includes an L1 central processing unit (CPU) configured to transform an L1 trend filtering problem to a primal-dual linear programming (LP) optimization problem pair; and an L1 arithmetic logic unit (ALU) connected to the L1 CPU and configured to solve a primal problem of the primal-dual LP optimization problem pair.

Abstract: An apparatus and method of low complexity optimization solver for path smoothing with constraint variation are herein disclosed. According to one embodiment, an apparatus includes an L1 central processing unit (CPU) configured to transform an L1 trend filtering problem to a primal-dual linear programming (LP) optimization problem pair; and an L1 arithmetic logic unit (ALU) connected to the L1 CPU and configured to solve a primal problem of the primal-dual LP optimization problem pair with an extended full tableau simplex method.

Abstract: An apparatus and method of five dimensional (5D) video stabilization with camera and gyroscope fusion. According to one embodiment, an apparatus includes a feature matcher configured to receive an image sequence and determine feature pairs in the image sequence; a residual two-dimensional (2D) translation estimator connected to the feature matcher and configured to determine a raw 2D translation path; a residual 2D translation smoother connected to the residual 2D translation estimator and configured to determine a 2D smoothed translation path; a distortion calculator connected to the residual 2D translation estimator and the residual 2D translation smoother and configured to determine a distortion grid; and a distortion compensator connected to the distortion calculator and configured to compensate for distortion in the image sequence.

Abstract: An apparatus and method of low complexity optimization solver for path smoothing with constraint variation are herein disclosed. According to one embodiment, an apparatus includes an L1 central processing unit (CPU) configured to transform an L1 trend filtering problem to a primal-dual linear programming (LP) optimization problem pair; and an L1 arithmetic logic unit (ALU) connected to the L1 CPU and configured to solve a primal problem of the primal-dual LP optimization problem pair with an extended full tableau simplex method.

Abstract: An apparatus and method of low complexity optimization solver for path smoothing with constraint variation are herein disclosed. According to one embodiment, an apparatus includes an L1 controller configured to receive a raw data series z to be smoothed, where L1 represents a formulation based on L1 norm cost, receives weights w0, w1, w2, and w3 to control smoothness of an output path, and formulate an L1 trend filtering problem; an L1 central processing unit (CPU) connected to the L1 controller and configured to transform the L1 trend filtering problem to a primal-dual linear programming (LP) optimization problem pair; and an L1 arithmetic logic unit (ALU) connected to the L1 CPU and configured to solve a primal problem of the primal-dual problem pair with an extended full tableau simplex method.

Abstract: An apparatus and method for modelling a random process using reduced length least-squares autoregressive parameter estimation is herein disclosed. The apparatus includes an autocorrelation processor, configured to generate or estimate autocorrelations of length m for a stochastic process, where m is an integer; and a least-squares (LS) estimation processor connected to the autocorrelation processor and configured to model the stochastic process by estimating pth order autoregressive (AR) parameters using LS regression, where p is an integer much less than m. The method includes generating, by an autocorrelation processor, autocorrelations of length m for a stochastic process, where m is an integer; and modelling the stochastic process, by a least-squares estimation processor, by estimating pth order autoregressive (AR) parameters by least-squares (LS) regression, where p is an integer much less than m.

Abstract: A user equipment (UE) for channel estimation in a high-speed single-frequency network (HS-SFN) is provided. The UE includes at least one non-transitory computer-readable medium; and at least one processor, which, when executing instructions stored on the at least one non-transitory computer-readable medium, causes the UE to perform a method including calculating an estimated frequency offset (FO) correction for a received signal using at least an FO estimation generated by an automatic frequency control (AFC) module using at least a previously-calculated channel estimate output from a channel estimator (CE) as input in a first feedback loop; and calculating, by the CE, a current channel estimate using at least the received signal adjusted by the estimated FO correction from the first feedback loop and one or more channel parameter estimates generated by the AFC using at least the previously-calculated channel estimate output from the CE as input in a second feedback loop.

Abstract: An apparatus and method of five dimensional (5D) video stabilization with camera and gyroscope fusion are herein disclosed. According to one embodiment, an apparatus includes a feature matcher configured to receive an image sequence and determine feature pairs in the image sequence; a residual two-dimensional (2D) translation estimator connected to the feature matcher and configured to determine a raw 2D translation path; a residual 2D translation smoother connected to the residual 2D translation estimator and configured to determine a 2D smoothed translation path; a distortion calculator connected to the residual 2D translation estimator and the residual 2D translation smoother and configured to determine a distortion grid; and a distortion compensator connected to the distortion calculator and configured to compensate for distortion in the image sequence.

Abstract: An apparatus and method of low complexity optimization solver for path smoothing with constraint variation are herein disclosed. According to one embodiment, an apparatus includes an L1 controller configured to receive a raw data series z to be smoothed, where L1 represents a formulation based on L1 norm cost, receives weights w0, w1, w2, and w3 to control smoothness of an output path, and formulate an L1 trend filtering problem; an L1 central processing unit (CPU) connected to the L1 controller and configured to transform the L1 trend filtering problem to a primal-dual linear programming (LP) optimization problem pair; and an L1 arithmetic logic unit (ALU) connected to the L1 CPU and configured to solve a primal problem of the primal-dual problem pair with an extended full tableau simplex method.

Abstract: A method and apparatus are provided. The method includes receiving, by at least one antenna of a receiver, at least one signal from a transceiver, detecting at least one data symbol within the at least one signal, determining a probability associated with the at least one detected data symbol, determining channel state information (CSI) of at least one channel between the transceiver and the at least one antenna of the receiver, and estimating a common phase error (CPE) of the at least one signal based on the probabilities associated with the at least one detected data symbol and the CSI of the at least one channel.

Abstract: An apparatus and method for modelling a random process using reduced length least-squares autoregressive parameter estimation is herein disclosed. The apparatus includes an autocorrelation processor, configured to generate or estimate autocorrelations of length m for a stochastic process, where m is an integer; and a least-squares (LS) estimation processor connected to the autocorrelation processor and configured to model the stochastic process by estimating pth order autoregressive (AR) parameters using LS regression, where p is an integer much less than m. The method includes generating, by an autocorrelation processor, autocorrelations of length m for a stochastic process, where m is an integer; and modelling the stochastic process, by a least-squares estimation processor, by estimating pth order autoregressive (AR) parameters by least-squares (LS) regression, where p is an integer much less than m.

Abstract: A method and apparatus are provided. The method includes receiving, by at least one antenna of a receiver, at least one signal from a transceiver, detecting at least one data symbol within the at least one signal, determining a probability associated with the at least one detected data symbol, determining channel state information (CSI) of at least one channel between the transceiver and the at least one antenna of the receiver, and estimating a common phase error (CPE) of the at least one signal based on the probabilities associated with the at least one detected data symbol and the CSI of the at least one channel.

Abstract: A user equipment (UE) for channel estimation in a high-speed single-frequency network (HS-SFN) is provided. The UE includes at least one non-transitory computer-readable medium; and at least one processor, which, when executing instructions stored on the at least one non-transitory computer-readable medium, causes the UE to perform a method including calculating an estimated frequency offset (FO) correction for a received signal using at least an FO estimation generated by an automatic frequency control (AFC) module using at least a previously-calculated channel estimate output from a channel estimator (CE) as input in a first feedback loop; and calculating, by the CE, a current channel estimate using at least the received signal adjusted by the estimated FO correction from the first feedback loop and one or more channel parameter estimates generated by the AFC using at least the previously-calculated channel estimate output from the CE as input in a second feedback loop.

Abstract: A method and apparatus are provided. The method includes receiving a signal sequence and a noise sequence, determining a first absolute value sum approximation of a receive power of the signal sequence, determining a second absolute value sum approximation of a noise power of the noise sequence, and determining a signal-to-noise ratio (SNR) based on the first absolute value sum approximation and the second absolute value sum approximation.

Abstract: A method and apparatus are provided. The method includes receiving a signal sequence and a noise sequence, determining a first absolute value sum approximation of a receive power of the signal sequence, determining a second absolute value sum approximation of a noise power of the noise sequence, and determining a signal-to-noise ratio (SNR) based on the first absolute value sum approximation and the second absolute value sum approximation.

Abstract: Apparatuses (and methods of manufacturing same), systems, and methods for channel interpolation/estimation and/or frequency tracking suitable for a receiver in a high speed single frequency network (HS-SFN) scenario are described. In one aspect, an estimated frequency offset (FO) correction is calculated for a received signal using at least an FO estimation provided by an automatic frequency control (AFC) in a first feedback loop and a channel estimate is calculated using at least the estimated FO and one or more channel parameter estimates from the AFC in a second feedback loop. In another aspect, a phase locked loop (PLL) receives an lth orthogonal frequency division multiplexing (OFDM) symbol and produces a per-tap phase value for each tap i of the lth OFDM symbol. The per-tap phase values of the lth OFDM symbol are used to generate the PLL output, which is also used as input to a feedback loop.

Abstract: Apparatuses (and methods of manufacturing same), systems, and methods for channel interpolation/estimation and/or frequency tracking suitable for a receiver in a high speed single frequency network (HS-SFN) scenario are described. In one aspect, an estimated frequency offset (FO) correction is calculated for a received signal using at least an FO estimation provided by an automatic frequency control (AFC) in a first feedback loop and a channel estimate is calculated using at least the estimated FO and one or more channel parameter estimates from the AFC in a second feedback loop. In another aspect, a phase locked loop (PLL) receives an lth orthogonal frequency division multiplexing (OFDM) symbol and produces a per-tap phase value for each tap i of the lth OFDM symbol. The per-tap phase values of the lth OFDM symbol are used to generate the PLL output, which is also used as input to a feedback loop.

Abstract: A method for adapting communications system topology includes receiving, by an adaptation device, first signal plus interference to noise ratio (SINR) values from user equipments in a communications system, the first SINR values associated with a transmission configuration as configured by the communications system, and adapting, by the adaptation device, a topology of the communications system in accordance with the first SINR values received from the user equipments already attached to the communications system.

Abstract: A method and apparatus for bi-direction training in D2D/cellular networks. An embodiment method includes sending training symbols to sense interference from the cellular UEs, calculating an interference subspace from the cellular UE to each of the D2D UEs, calculating an orthogonal projection matrix based on the interference subspace calculated, and iteratively updating receive filters through forward training and transmit beamformers through backward training after the orthogonal projection matrix is calculated to align the D2D UEs. In an embodiment, training symbols are sent to sense interference from the cellular UE.