33 results about "Gram schmidt" patented technology

A system for detecting and correcting impulse noise present on an input data signal includes an impulse detector module receiving an input data signal and producing as output an correction enable signal indicating when an impulse correction is required. An impulse corrector module receives the input data signal and a correction enable signal and produces a corrected data signal, e.g., having the impulse canceled or blanked, as output. A reliability estimator and selector module receives the corrected data signal and the input data signal and selects as output the input signal which is more reliable. In one embodiment, the impulse detector includes first and second complementary impulse detectors, the outputs of which are analyzed by an enable and correction module to produce an impulse detection signal with improved accuracy. Preferably, the enable and correction module also indicates the most appropriate type of impulse correction in accordance with the detection signals from the complementary detectors. A novel system and method of detecting impulses based on Gram Schmidt techniques is also presented. In this method, one or more channels of a multi-channel data signal are kept free of data. When a whitening filter is applied, impulses on these quiet channels are emphasized. The Gram Schmidt technique exploits this fact to provide for improved impulse detection. The system can be modified to detect other types of low dimensionality noise.

An adaptive signal processing system utilizes a Multistage Weiner Filter having an analysis section and a synthesis section that includes a processor. The processor includes an algorithm for generating a data adaptive linear transformation, computing an adaptive weighting w_med of the data, and applying the computed adaptive weighting w_med to a function of a main input signal and an auxiliary input signal to generate an output signal. A plurality of building blocks in a Gram-Schmidt cascaded canceller-type configuration sequentially decorrelate input signals from each other to produce a single filtered output signal. Each building block generates an adaptive weight w_med that is applied to generate a local output signal. The effect of non-Gaussian noise contamination on the convergence MOE of the system is negligible. In addition, when desired signal components are included in weight training data they cause little loss of noise cancellation.

An improved multi-user selecting method based on block diagonalization multiple-input multiple-output system of norm is provided, firstly selecting a maximum user of the channel Frobenius norm, then adding the maximum user of the equivalent channel Frobenius norm sum acquired by multiplying channels of all selected user with corresponding precoding matrix in a backup user collection in turn, until the maximum number of users can be supported by the system synchronously. The invention reduces the calculation complexity from two sides: adopting an heuristic Gram-Schmidt orthogonalization method to simplify the design flow of the precoding matrix; after selceting a user every time, updating the backup user collection to make users of the collelction and users of the selected user collection satisfy the orthogonality, thereby reducing the searching range selected by users at next time.

The invention relates to a gear fault diagnosis method based on the orthogonal match between multiple parallel dictionaries. According to the method, gear vibration signals are expressed in the mode of linear superposition of simple and sparse atoms of the multiple parallel dictionaries. As for the multiple parallel dictionaries, Fourier dictionaries and impact time frequency dictionaries are selected to form the multiple dictionaries according to the characteristics of the gear vibration signals, matched atoms are selected in parallel in all sub-dictionaries with a genetic algorithm, coefficients of all orders are compared to obtain a most matched atom, Gram-Schmidt orthogonalization is performed on the atom, and then a new atom library is formed. Analysis signals are projected to the atom library, and the projections are subtracted from the signals to form residual signals to be decomposed the next time. The decomposition process is completed after the iteration end conditions are met, the matched atoms and the matching coefficient are extracted, the matched atoms based on the impact time frequency dictionaries are reconstructed, corresponding impact components can be obtained, and then fault information of the gear vibration signals is demodulated and extracted for fault diagnosis.

The invention discloses a high resolution remote sensing image segmentation method based on Gram-Schmidt fusion and locally excitatory globally inhibitory oscillator networks (LEGION). The method comprises the following steps: resampling the multispectral wave bands of a high resolution remote sensing image, and enabling the multispectral wave bands to have same size and pixel amount as a panchromatic wave band; performing Gram-Schmidt fusion on the panchromatic wave band and the multispectral wave bands to lead each of the multispectral wave bands to have higher space resolution and basically maintain the spectral information; calculating the average value of the all wave band pixel values of all pixels, and merging the information of the multiple wave bands into a wave band to serve as input data of an LEGION segmentation method; segmenting the merged single wave band image by the LEGION method; and inputting the segmentation result in a result image, and displaying the result image in a visualized mode. By means of the method in the invention, the defect that the LEGION segmentation method only can utilize single wave band information is solved, and the high resolution remote sensing image can be segmented more accurately and effectively.

The invention discloses a method for fusing unmanned aerial vehicle image and multispectral image based on Gram-Schmidt transformation, and method comprises the steps: two sets of individual multiband images including multispectral low spatial resolution remote-sensing images and tri-band high spatial resolution unmanned aerial vehicle visible light images with the same pixel sizes can be acquired through image preprocessing; multiple linear regression, reconstruction and Gram-Schmidt transformation are performed on the remote-sensing images, remote-sensing image GS constituent can be obtained, the same reconstruction and Gram-Schmidt transformation are performed on the unmanned aerial vehicle images, and unmanned aerial vehicle GS constituent can be obtained; gradient filtering is performed on the unmanned aerial vehicle GS constituent, texture information is obtained and is added to 1-4 GS constituent of the remote-sensing images with a certain weight; Gram-Schmidt inverse transformation is performed on an enhanced result, redundant information can be removed, and final fused images can be obtained. According to the invention, limitation of fusing single band panchromatic data and multispectral images in a fusing method in the prior art can be extended, diversity of fusing data can be added, and a fusing method having spectrum retention and information quality which are considered at the same time can be realized.

The invention relates to an super-directivity beam forming method based on modal decomposition and synthesis. The super-directivity beam forming method comprises the steps of firstly, decomposing the optimal solution on the basis of the beam forming theory, representing the optimal solution as a matrix form, then utilizing Gram-Schmidt orthogonal transformation for giving a solution formula of a related matrix, and then utilizing the matrix form of the optimal solution for decomposing the optimal beam into various-order modal beams with different directivities and robustness, wherein the factor with the maximum directivity is obtained by overlaying directivity factors of the various-order modal beams. Finally, a uniformity rectilinear figure array is used as an example, and the final robust super-directivity beam is obtained by selecting the proper modal beam to carry out synthesis. According to the super-directivity beam forming method based on modal decomposition and synthesis, the detects that in the prior art, accuracy is not enough, and the application range is limited are overcome according to the characteristics that the optimal solution of the beam forming theory is not limited by the matrix form, and the accurate recursion formula is used for the Gram-Schmidt orthogonal transformation.

A Lenstra-Lenstra-Lovász (LLL)-based technique is utilized to reduce the complexity of a MIMO detector. Basis vectors can be pre-sorted, such as by V-BLAST ordering or sorted-QR ordering, prior to applying Gram-Schmidt Orthogonalization (GSO) to further improve performance. Alternatively, a joint sorting and LLL reduction (JSAR) technique can be utilized such that after each reduction step, a vector remaining to be reduced can be selected that will minimize the overall complexity. The JSAR technique can be applied on real or complex lattice bases. LLL reduction can be stopped after a predetermined threshold is exceeded.

Circuitry speeds up the QR decomposition of a matrix. The circuitry can be provided in a fixed logic device, or can be configured into a programmable integrated circuit device such as a programmable logic device. This implementation performs Gram-Schmidt orthogonalization with no dependencies between iterations. QR decomposition of a matrix can be performed by processing entire columns at once as a vector operation. Data dependencies within and between matrix columns are removed, as later functions dependent on an earlier result may be generated from partial results somewhere in the datapath, rather than from an earlier completed result. Different passes through the matrix are timed so that different computations requiring the same functional units arrive at different time slots. After the Q matrix has been calculated, the R matrix may be calculated from the Q matrix by taking its transpose and multiplying the transpose by the original input matrix.

System and method for computing QR matrix decomposition and inverse matrix R⁻¹. A circuit is configured to implement a QR decomposition of a matrix A into two matrices Q and R using a Modified Gram Schmidt (MGS) process. The circuit includes a specified portion dedicated to computing matrix Q. Matrix Q is computed via the specified portion based on first inputs using the MGS process, where the first inputs include the matrix A and possibly a scaling factor σ. The identity matrix may be scaled by the scaling factor σ, thereby generating scaled identity matrix σI. Scaled matrix σR⁻¹ (or unscaled R⁻¹) may be computed via the specified portion based on second inputs provided to the portion using the MGS process, where the second inputs include the (possibly scaled) identity matrix. If scaled, the scaled matrix σR⁻¹ may be unscaled, thereby computing matrix R⁻¹. Matrix R⁻¹ is stored and/or output.

The invention discloses an emission wave beam nulling widening method based on orthogonal projection, and relates to the digital array radar emission wave beam nulling widening technology. The method utilizes a reconstruction zero setting vector matrix, and data volume is reduced greatly. In addition, in order to avoid matrix inversion operation, a Gram-Schmidt orthogonalization (GSO) thought is introduced, and a recursion method is employed to carry out deducing of orthogonal complementary space. The provided method achieves emission wave beam nulling widening rapidly and flexibly under a condition that an emission wave beam pointing direction, a zero setting direction and a nulling width are known and the anti-interference performance of the system is enhanced.

The invention discloses a factor score-based tobacco sales quantity prediction method. The method comprises the steps of collecting data of a plurality of independent variable factor groups to establish a database; obtaining corresponding factor scores through methods of data quantitative processing, centralization processing, Gram-Schmidt transform, collaborative filtering and the like; and according to weights of factors, predicting a sales quantity. According to the method, by utilizing an internet platform, relations with tobacco retailers and consumers can be established, and consumer information can be obtained in time; various influence factors are subjected to score value assignment, so that the sales quantity of cigarettes is predicted, accurate marketing is achieved, and tobacco industry reform is facilitated.

The invention discloses a hyperspectral image abundance estimation method based on an orthogonal basis, and relates to a hyperspectral image processing technology, which is used to solve the problem that an existing method is complex in operation. The algorithm uses the Gram-Schmidt method to calculate the end vector group to obtain the corresponding orthogonal basis set, solves the unmixed equations, and solves the eigenvectors of each orthogonal basis.; And the to-be-unmixed spectrum vector is projected to the feature vector, and the length ratio of the projection vector to the orthogonal basis is calculated to obtain abundance estimation of the end member represented by the orthogonal basis. Through comparative analysis of different algorithms, the algorithm only needs to perform vectorinner product operation, so that the operation complexity is reduced, the abundance estimation time of the hyperspectral image is shortened, and the abundance estimation efficiency of the hyperspectral image is improved. Through simulation data and actual image data experiments, the effectiveness of the algorithm is verified.

The invention discloses a unitary space-time coding proposal based on a Gram-Schmidt orthogonalization process. The proposal comprises: a first steps of acquiring a coding structure with high coding rate by cascading a plurality of quasi-orthogonal blocks behind a prior code; a second step of acquiring full diversity gain by the constellation rotation of the coding structure of the first step; and a third steps of subjecting the coding structure acquired in the second step to the Gram-Schmidt orthogonalization process for the mutual orthogonalization of transmission vectors of the constructed coding structures in different transmission antennae to acquire unitary space-time codes. The unitary space-time coding proposal does not need channel evaluation for decoding, and can sufficiently use related time of the channel to improve the coding rate of the codes and acquire the full diversity gain.

The invention discloses a three-way seismic design ground motion generation method combining orthogonalization and an influence matrix method, and can be used in the field of structural seismic designand analysis. According to the method, perfect matching with a target spectrum is realized by utilizing an influence matrix method, and Gram Schmidt orthogonalization is introduced to realize that acorrelation coefficient between any two seismic oscillation components is zero, namely, statistical independence of components in any two directions is met. According to the method, the calculation process is rigorous, the calculation efficiency is high, and high-precision matching of the three-way seismic oscillation time history and the target design spectrum and statistical independence betweenevery two time history can be realized at the same time.

The invention provides a receiver detection method based on a 80211ac RF consistency testing system. The method comprises the steps of supposing a fact that a channel matrix is known, performing QR decomposition detection based on corrected Gram Schmidt orthogonalization on the channel matrix H, and obtaining a decomposed matrix Q, a decomposed matrix R and an initial detected value matrix; afterwards, determining whether the matrix R are ideal matrixes, and if not, eliminating interferences of partial signals from the system, utilizing a zero forcing detection algorithm on the new system, and updating and rearranging an existing detection result. On condition that an ideal solution is not obtained by means of traditional SQRD detection, the receiver detection method performs functions of updating detected data by means of the zero forcing detection algorithm after system reconstruction, improving performance of the traditional SQRD detection algorithm, and improving EVM index of an RF testing system.

The invention relates to a cigarette essence quality detection method. According to the method, a colorimeter is adopted to detect values L, a and b of a cigarette essence standard substance and values L, a and b of a to-be-detected sample; the values L, a and b of the to-be-detected sample are compared with the values L, a and b of the standard substance, and delta(L), delta(a), delta(b) and delta(E) are obtained; a near-infrared spectrometer is adopted to collect a spectrum of the cigarette essence standard substance and a spectrum of the to-be-detected sample, and the collected spectra arepretreated to eliminate noise and correct baselines; in combination with a Gram-Schmidt orthogonalization method, the cigarette essence standard substance is selected to serve as a standard, and the similarity between the cigarette essence to-be-detected sample and the standard substance is calculated; and when the cigarette essence to-be-detected sample meets the relations that the delta(E) is smaller than or equal to 1.0, the similarity n is greater than or equal to 90%, and absolute values of the delta(L), the delta(a) and the delta(b) are all smaller than or equal to 0.5, the detected cigarette essence to-be-detected sample is qualified. The method is objective, easy and convenient to implement, accurate in calculation result, fast in detection process and easy to apply and popularize.