253 results about "Orthogonal basis" patented technology

The present invention is directed to a method for inferring/estimating missing values in a data matrix d(q, r) having a plurality of rows and columns comprises the steps of: organizing the columns of the data matrix d(q, r) into affinity folders of columns with similar data profile, organizing the rows of the data matrix d(q, r) into affinity folders of rows with similar data profile, forming a graph Q of augmented rows and a graph R of augmented columns by similarity or correlation of common entries; and expanding the data matrix d(q, r) in terms of an orthogonal basis of a graph Q×R to infer/estimate the missing values in said data matrix d(q, r) on the diffusion geometry coordinates.

An information retrieval system that deals with the problems of synonymy, polysemy, and retrieval by concept by allowing for a wide margin of uncertainty in the initial choice of keywords in a query. For each input query vector and an information matrix, the disclosed system solves an optimization problem which maximizes the stability of a solution at a given level of misfit. The disclosed system may include a decomposition of the information matrix in terms of orthogonal basis functions. Each basis encodes groups of conceptually related keywords. The bases are arranged in order of decreasing statistical relevance to a query. The disclosed search engine approximates the input query with a weighted sum of the first few bases. Other commercial applications than the disclosed search engine can also be built on the disclosed techniques.

A method and system is described for more optimally managing the usage of a wideband space-time multipath channel. The wideband space-time multipath channel is decomposed into a plurality of orthogonal sub-channels, where the orthogonal sub-channels having the best signaling characteristics are used for transmitting one or more signal streams. For purposes of decomposing the wideband space-time multipath channel into a plurality of orthogonal sub-channels, channel estimates are determined for each signal propagation path. A closed-form singular value decomposition of the channel corresponding to each receive antenna before coherent combining is utilized to obtain an orthogonal decomposition of the overall effective space-time channel after coherent combining. By using the overall effective space-time channel after coherent combining rather than before coherent combining, the complexity and correspondingly the resources required for obtaining the orthogonal sub-channels is significantly reduced. The method and system further provide for transmit power to be allocated between the selected sub-channels in order to minimize the effective bit-error rate for a fixed average throughput or to maximize average throughput for a fixed minimum effective bit-error rate.

A stereo audio signal is processed to determine primary and ambient components by transforming the signal into vectors corresponding to subband signals, and decomposing the left and right channel vectors into ambient and primary components by matrix and vector operations. Principal component analysis is used to determine a primary component unit vector, and ambience components are determined according to a correlation-based cross-fade or an orthogonal basis derivation.

A video display system based on constructing images through displaying orthogonal basis function components of the image is disclosed. The system is comprised of two display components aligned and driven concurrently. The first display component is a coarse pixel array. The second display component is a spatial light modulator whose geometric details are finer than the first pixel array. The overall system reconstructs the intended video to be displayed at the finer geometric details of the second display component at a minimal image quality loss through the use of time-domain display of orthogonal image basis function components. The resultant system has a considerably reduced interconnection complexity and number of active circuit elements, and also requires a considerably smaller video data rate if a lossy image reconstruction scheme is used. An embodiment with a LED based display and an LCD based spatial light modulator utilizing the concepts, and methods to drive the displays are described herein.

The invention discloses a high-precision large-caliber electric reflecting mirror frame based on an orthogonal axis, relates to an electric reflecting mirror frame, and aims to solve the problems that the process of guiding the transmission direction of a large-caliber laser beam is not precise enough and is not easily controlled, and collimated guide and near-field adjustment for the laser beam are poor in flexibility. A rack is connected with a pitching shaft frame through a rotation shaft, the pitching shaft frame is used for adjusting pitching angles relative to the rack, the pitching shaft frame and the rotation shaft are connected with a deflection shaft frame, the deflection shaft frame is used for adjusting deflection relative to the pitching shaft frame, a transverse positioning barrier strip is close to the inner side surface of a transition frame, an axial positioning barrier strip is close to the inner side surface of a second positioning frame, a mini-driver output end of a pitching shaft micro-actuator is connected with the pitching shaft frame through a pitching connection block, and a mini-driver output end of a deflection shaft micro-actuator is connected with the deflection shaft frame through a deflection connection block. The high-precision large-caliber electric reflecting mirror frame is used for a light beam guide system of an inertial confinement laser fusion device or other optical path adjustment systems needing large calibers.

The invention discloses a self-adaptation compression reconstruction method based on energy effectiveness observation in a cognitive sensor network. The self-adaptation compression reconstruction method based on the energy effectiveness observation in the cognitive sensor network comprises the steps that (1) a node carries out local detection and compression measurement on data which are actually sensed through an analog transcriber according to the characteristic that power consumption of the node of a cognitive sensor is limited, (2) a space-time relevance structure of sensing signals is used, sensing data are mapped to a wavelet orthogonal basis cascading dictionary to carry out sparse conversion and to carry out self-adaptation observation through a weighting energy subset function, appropriate observation values are obtained in an energy effectiveness mode, orthogonalization is carried out on selected observation vectors to construct a measurement matrix, (3) the sensing data after compression measurement are fed back to an aggregation node through a report channel, the aggregation node carries out self-adaptation reconstruction on the sensing data by using a gradient projection sparse reconstruction Barzilai-Borwein method based on a convex relaxation method, and effective compromise between reconstruction performance and energy consumption of the node is achieved. The self-adaptation compression reconstruction method based on the energy effectiveness observation in the cognitive sensor network can carry out accurate reconstruction on the sensing signals, ensures energy effectiveness of the sensing node, and has actual application significance.

A differential method has been developed which determines displacement from the midpoint of optical transmission (±45°) and utilizes the coupled nature of the two signals for common mode noise rejection to enhance the detection of chiral species. A beam of light is modulated, applied to the chiral mixture, and then split into a first beam and a related orthogonal beam by a polarizer or prism. The first beam and orthogonal beam are converted into electrical signals before a differential comparison of the signals is performed to detect a desired chiral species within the chiral mixture.

The invention discloses a local spline embedding-based orthogonal semi-monitoring subspace image classification method. The method comprises the following steps of: 1) selecting n samples serving as training sets and the balance serving as testing sets from image data sets, wherein the training sets comprise marked data and unmarked data; 2) building an extra-class divergence matrix and an intra-class divergence matrix by using the marked data; (3) training data characteristic space distribution by using a whole and building a Laplacian matrix in a local spline embedding mode; 4) according to a local spline, embedding an orthogonal semi-monitoring subspace model, and searching a projection matrix to perform dimensionality reduction on the original high dimension characteristic; 5) building a classifier for the training samples after the dimensionality reduction by using a support vector machine; and 6) performing the dimensionality reduction on the testing sets by using the projection matrix and classifying the testing sets after the dimensionality reduction by using the classifier. In the method, the information, such as image sample marking, characteristic space distribution and the like, is fully utilized; potential semantic relevance among image data can be found out; and image semantics can be analyzed and expressed better.

The present invention belongs to the technical field of optoelectronic equipment calibration, and particularly relates to a star sensor reference cube-prism installation error calibration apparatus. According to the present invention, a photoelectric autocollimator and a single star simulator are respectively placed on two orthogonal axes of a reference plane, a detected star senor is placed at the intersection point position of the two axes so as to make the normal lines of the two orthogonal light reflection surfaces of the detected star senor reference prism be respectively parallel to the two orthogonal axes, the optical axes of the photoelectric autocollimator and the single star simulator are respectively adjusted to parallel to the reference plane through a theodolite, the star sensor is installed on a star sensor three-dimensional adjustment reference base, the input optical axis of the star sensor and the output optical axis of the single star simulator are adjusted to achieve a parallel state through the star sensor three-dimensional adjustment reference base, a detected reference cube-prism is arranged on the upper surface of the housing of the detected star senor, the installation angle error of the reference cube-prism round the X-axis and the Y-axis is measured by using photoelectric autocollimation, the star sensor three-dimensional adjustment reference base rotates 90 DEG, and the installation angle error of the reference cube-prism round the Z-axis is measured.

A triaxial sensor substrate is adapted for use in measuring the acceleration and angular rate of a moving body along three orthogonal axes. The triaxial sensor substrate includes three individual sensors that are arranged in the plane of the substrate at an angle of 120 degrees with respect to one another. Each sensor is formed from two accelerometers having their sensing axes canted at an angle with respect to the plane of the substrate and further being directed in opposite directions. The rate sensing axes thus lie along three orthogonal axes.

In order to reduce or eliminate angular acceleration sensitivity, a two substrate configuration may be used. Each substrate includes three accelerometers that are arranged in the plane of the substrate at an angle of 120 degrees with respect to one another. The sensing axes of the accelerometers of the first substrate are canted at an angle with respect to the plane of the first substrate toward the central portion thereof so that they lie along three skewed axes. Similarly, the sensing axes of the accelerometers of the second substrate are canted at an angle with respect to the plane of the second substrate away from the central portion thereof so that they lie along same three but oppositely directed axes. The sensing axes of the first and second substrates are aligned to prevent angular acceleration sensitivity.

The invention discloses a database based complex-contour aircraft distributed heat environment parameter prediction method and belongs to the field of aircraft heat environment design. The method comprises the steps that an aircraft surface heat flow database is established, order reducing processing is conducted on the database by utilizing a POD method to obtain orthogonal basis vectors of the database, and aircraft surface heat environment parameters can be predicted along a ballistic trajectory by combining with a corresponding basic coefficient interpolation method. The method can really reflect the space distribution characteristics and interference characteristics of the aerodynamic heat environment for all points on the surface of a complex-contour aircraft. Value result comparison shows that the method can remarkably improve the computational efficiency, and prediction precision is not lost. A surface distributed heat flow is provided for calculation of a heat proof temperature field through the points along the ballistic trajectory, more exquisite temperature distribution can be obtained, and accordingly the design level of a whole heat preventing and insulation system is improved.

The invention discloses a novel analytical method of deformation monitoring data of a dam slope. Dam slope displacement and a factor influencing the dam slope displacement are monitored, monitoring data are selected, a regression analysis based on proper orthogonal decomposition is carried out to obtain a feature orthogonal basis of proper orthogonal decomposition; quantile regression analyses are carried out on the feature orthogonal basis and the damp slope displacement to obtain regression equation parameters of all quantiles, and then original data substitution is carried out to obtain a quantile regression equation of the original data; and then changing situations of regression equation estimation values of independent variables under different quantiles as well as whether the regression equation estimation values pass the significance test successfully are analyzed and the influence degrees on the dam slope displacement by the independent variables are determined. According to the invention, the method has the great significance in early-warning model establishment for a slope of a dam, slope prediction and forecasting method providing, and slope sensitive influence factor analyses.

The invention provides an MIMO system channel estimation method and device in a 60GHz indoor scene, and relates to the field of communications. The method comprises the following steps: obtaining a first channel estimation value of each user equipment; carrying out two-dimensional discrete Fourier transform on the first channel estimation value to obtain a spatial pattern point set; grouping all user equipment according to the spatial pattern point set, using the same pilot frequency on the same group of users, and obtaining a second channel estimation value of each user equipment in each group to realize the MIMO system channel estimation in the 60GHz indoor scene. According to the MIMO system channel estimation method in the 60GHz indoor scene provided by the invention, the discrete Fourier transform is used as a spatial basis expansion model of orthogonal basis to parameterize a user equipment channel, thereby reducing the dimensionality of an unknown channel parameter, reducing training and feedback costs and easing pilot frequency pollution.

It is attained by being provided with a motor constant calculation unit for calculating electric constants of a motor, and by correcting setting values of electric constants defined on one of the axes of two orthogonal axes, by a functional expression using a state variable defined on the same axis, and by correcting them by a functional expression using a state variable defined on the other axis.

The invention discloses a method for designing multi-user signal and energy simultaneous transmission system low complexity transceivers. The method comprises the following steps that a base station conducts channel estimation to obtain channel vectors between the base station and all users; an interference channel matrix of each user is defined, each interference channel matrix is composed of all channel vectors excerpt the channel vector of the corresponding user, singular value decomposition is conducted on each interference channel matrix to obtain a zero space orthogonal basis matrix, a zero-forcing precode and a maximum joint transmit precode of each user are calculated, and each transmit precode is fixed as the weighted combination of the corresponding zero-forcing precode and the corresponding maximum joint transmit precode; the joint design problem of transmit end precode weights based on transmit power minimizatio, and receiving end power splitting factors is solved through the positive semi-definite relaxation technology to obtain precode weight vectors and the receiving end power splitting factors; finally, the base station conducts precoding on emission signals and sends the power splitting factors to the corresponding users through control channels at the same time. The method reduces the transmit power and also lowers the calculation complexity.

The invention discloses a BD (block diagonalization) pre-coding method and device, wherein the method comprises the following steps: determining a total user channel matrix Hs according to a downlink channel matrix of each user in a system; carrying out QR factorization on a conjugate transpose matrix of the total user channel matrix Hs to obtain a product of an orthogonal matrix Q and an upper triangular matrix R, and expressing the total user channel matrix Hs as the product of a lower triangular matrix L and a conjugate transpose matrix QH of the orthogonal matrix Q; carrying out inverse calculation on the lower triangular matrix L to obtain L-1; according to the inversed L-1 of the lower triangular matrix L and the orthogonal matrix Q, obtaining a null space orthogonal basis of an interference channel matrix of each user; according to the null space orthogonal basis of the interference channel matrix of each user, constructing a linear pre-coding matrix of each user; and carrying out linear pre-coding on a transmitting signal of each user by utilizing the constructed linear pre-coding matrix. The technical scheme disclosed by the invention can reduce the system complexity and improve the coding efficiency.

The invention relates to a multi-feature-combined Hash information retrieval method. The method is characterized by comprising the following basic steps that 1, an objective function is set up, data distribution of an object space is protected, compact matrix basis in an NMF is obtained, and redundancy is reduced; 2, alternative optimization is carried out, U and V are optimized through an iterative process, and updating rules of the base operator U and low-dimension data V are obtained; 3, global convergence is carried out, and alternating iteration is carried out through the original objective function; 4, a Hash function is generated, and finial results are obtained by calculating the hamming distance between training data and a test sample, namely XOR operation; 5, complexity analysis is carried out on the methods in the step 1 to step 4. By means of the method, probability distribution of data can be effectively protected, redundancy of low-dimension data is reduced, and therefore a Hash embedded function can be learned, wherein through the Hash embedded function, multiple expressions obtained from multiple sources can be fused, and RKNMF can be used for protecting high-dimension joint distribution and obtaining orthogonal basis.

The invention discloses a phase compensation implementation method of a continuous variable quantum key distribution system. A sender performs Gaussian modulation on initial continuous key data by using the coherent state and then sends the modulated signals to a receiver through an optical fiber channel; and the receiver performs preprocessing, error corrosion and confidentiality enhancement on the acquired initial continuous key data by using an algorithm based on orthogonal basis expansion so as to acquire the final security key. According to the method, the practical use of the continuous variable quantum cryptography is prompted, and environmental interference and human attack affected by the quantum signals in the quantum communication process can also be effectively suppressed.

The invention relates to a method for reconstructing the spectral reflectance of a single-pixel detector based on sparse priors, which performs principal component analysis on the training sample set, and obtains the first three principal components of the spectral reflectance data of the training sample set as the reconstruction basis function Vector; through the single-pixel detector to collect the spectral energy of a single multi-spectral test color block, the energy value U is obtained; in the process of solving the training sample set, the basis function vector B, the basis function vector coefficient a and the specific coefficient of the measurement matrix are obtained The reflectance of the test sample is reconstructed by the obtained spectral energy U collection for a single multi-spectral test color patch. The present invention can make full use of the spatially sparse feature of spectral reflectance and the sparse prior knowledge of the relative spectral power distribution of the lighting source based on the principal component orthogonal basis, reduce the optical complexity of the multi-spectral data acquisition system, reduce the number of samples, and improve the spectrum of the reflectance Improve reconstruction efficiency and improve reconstruction accuracy.

We introduce a thoracic cage coordinate system for recording pathology locations in lung CT volume data. The centerlines of each individual rib are extracted and labeled from top to bottom. For each pair of ribs, a three-dimensional (“3D”) orthogonal basis is computed by eigen-analysis of the rib centerline points, which are taken as the x, y, and z axes. The rib pairs form a set of reference planes. Therefore, there are a set of coordinate systems (x, y, z), each of which is locally valid between two adjacent planes. To define a location globally, a fourth parameter, n, is added to identify the serial number of the reference plane. The complete coordinate is recorded as (n, x, y, z). This system is robust against deformations due to bending and twisting, and is relatively stable over inhalation. Further, this system may be readily adapted in other 3D modalities, such as MRI volume data.

The invention discloses a method and a device for sending feedback of channel state information and relates to the technical field of communication networks. The method and the device for sending feedback of the channel state information can send feedback of the channel state information in a multi-dimensional antenna array on the basis of multi-layer data transmission of a generated codebook and reduce the amount of feedback bits. The technical scheme of the method and the device for sending feedback of the channel state information includes: determining a second orthogonal basis vector set and the set number of the second orthogonal basis vector set according to a predefined first basis vector set, determining a third orthogonal basis vector set corresponding to every data layer according to the second orthogonal basis vector set, respectively calculating second level code words for every data layer, and sending the set number of the second orthogonal basis vector set, the third orthogonal basis vector set corresponding to every data layer and the second level code words corresponding to every data layer to a base station, so that the multi-layer code words can be combined by the base station. The method and the device for sending feedback of the channel state information can be used for sending feedback of the channel state information.

Systems and methods for efficiently conveying one or more broadband communication channels over a transmission medium. Communication is effected by transforming an incoming digital bit stream into a prime frequency information stream that includes a plurality of prime frequency components. This transformation can be accomplished through the use of a plurality of mathematical basis functions. The prime frequency information stream is then transmitted over the transmission medium. More particularly, digital bit streams carried on one or more incoming channels are in the form of binary "on" and "off" bits. These digital bits are converted into a plurality of prime frequency components which together comprise a prime frequency information stream. The conversion process maps each of respective incoming digital bits to a corresponding one of a group of orthogonal basis functions.