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Showing 1 to 20 of 23 for “"Transformation matrix"”.
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Array Signal Processing Algorithms for Beamforming and Direction Finding
… The proposed algorithms avoid the covariance matrix inversion and provide a trade-off between the complexity and performance. In reduced-rank array processing, we present CMV and CCM reduced-rank schemes based on joint iterative optimization (JIO) of adaptive filters. This scheme consists a …
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Pole-placement with minimum effort for linear multivariable systems
… novelty of the design lies in obtaining a direct transformation of the system matrices into a modified controllable canonical form. Two realizations are identified, and the algorithms to obtain them are derived. In both cases, the transformation matrix has some degrees of freedom by tuning a …
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A Two-Level Method For The Steady-State Quasigeostrophic Equation
… the Argyris finite element and derive the transformation matrix necessary to perform calculations on the reference triangle. We use the Argyris element because it is a high-order, conforming finite element for fourth order problems. In order to increase computational efficiency, we consider …
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Prescribing Dilatations in Space
On this domain, we define the dilatation from the transformation matrix A = UDVT of an affine mapping in R3 . Let B = ATA = VD2VT = [ bij]. Define the dilatation m&ar; as m&ar;=1M b11b22-b2 12 b11b33-b2 13 b22b33-b2 23 , where M2 = b 11b22 -- b212 + b11b33 -- b213 + b22b33 -- b223 + lambda (det …
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A Finite Element, Reduced Order, Frequency Dependent Model of Viscoelastic Damping
… resemblance to the original coordinates. A transformation matrix exists that transforms the reduced model back into original coordinates, and it is a subset of the transformation matrix leading to the balanced model. This whole procedure will be referred to as Yae's method within this …
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Design and analysis of a Stewart-platform-based six-axis load cell
… be optimized using the condition number of the transformation matrix. The full-scale version of the hex sensor is also designed and optimized based on its condition number.
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Analytical camera pose estimation and inverse modelling of high order radial lens distortion polynomials for close range photogrammetry
… of individual coefficients of the projective transformation matrix. This resulted in these methods being prone to parameter coupling, sign ambiguity, and multiple roots associated with some of the parameters. In the same way, recursive reversions methods proposed to compute inverses of radial …
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Design and implementation of a high precision profilometer
… precision and stability. A homogeneous transformation matrix (HTM) method was developed for calculating the profiling errors due to stage positioning errors. The actual performance and calibration of the profilometer system was investigated through various tests, including: 1) …
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Linear elastic mesh deformation via localized orthotropic material properties optimized by the adjoint method
… and is based on an element’s isoparametric transformation matrix.
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A Study of Dimensionality Reduction Techniques and its Analysis on Climate Data
… can be expressed in the form B=TX where T is the transformation matrix that acts on the data matrix X to the reduced dimensionality representation B. Other linear techniques explored are Factor Analysis and Dictionary Learning. In many problems, the observations are high-dimensional but we may …
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System variation analysis of MIG welded aluminum structural frames
… are linearized models that map the transformations between the input variations and the output variations of a particular manufacturing operation. Secondly, using the combined transformation matrix of the system, intermediate tolerances, at a particular manufacturing operation can be …
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Modal Analysis of General Cyclically Symmetric Systems with Applications to Multi-Stage Structures
… studied without any assumptions on the system matrix symmetries: asymmetric inertia matrix, damping, gyroscopic, and circulatory terms can be present. In the equation of motion of such a cyclically symmetric system, the matrix operators are proved to have properties related to the cyclic …
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Machine tool accuracy characterization, error modeling and compensation using telescopic ballbar and laser interferometer
… machining center is modeled using Homogeneous Transformation Matrix (HTM). By synthesizing the machine's parametric errors such as linear positioning errors, roll, pitch and yaw etc., an expression for the volumetric errors in the multi-axis machine is developed. The developed mathematical …
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A response surface approach to the mixture problem when the mixture components are categorized
… of work in areas not of direct interest. The transformation from a set of linearly dependent mixture components to a set of linearly independent design variables is shown. This transformation is accomplished with the use of an orthogonal matrix. Since we want the properties of the predictor ŷ …
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Variation propagation modelling and cost-oriented process optimisation for aircraft assembly
… features are modelled using the homogeneous transformation matrix method. An algorithm is developed to model the assembly technique, which has a major impact on assembly variations in overconstrained assemblies.<br/>Using a sensitivity study, the variation propagation model quantifies and …
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Resonance Fluorescence in a Photonic Crystal
… modes outside a finite crystal are linked with a transformation matrix that is interpreted as a transfer matrix. Formulas for the band structure, the reflection from a semi-infinite crystal, and the local density of states in absorbing crystals are found; defect modes and negative refraction are …
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A Neural Signal Processor for Low-Latency Spike Inference
… spike detection thresholds, spike feature transformation matrix and vector quantized clusters generated by spike sorting a short recording session. Using the spike-sorted model, the NSP performs data acquisition and real-time spike inference simultaneously. Algorithmic modules were …
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Modelling freeway pedestrian crossing behaviour in Cape Town
… and the crossing choices using a Cholesky transformation matrix were established. Finally, the implied relative sensitivities, or tradeoffs, between at-grade and footbridge crossing alternatives were estimated. The findings of this study confirm that, as expected, crossing choice is largely …
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Methodologies and Applications of Data Coordinate Conversion for Roadside LiDAR
… points collection, reference points matching, transformation matrix calculation, time synchronization, data integration, and data mapping. The raw LiDAR data is in the Cartesian coordinate system. In this coordinate system, the position of each LiDAR point is represented by (x,y,z). To map …
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Applications of a generalized integral transform to vibrations of continuous media
… of discrete masses. These equations led to a matrix eigenvalue problem from which approximate eigenvalues and eigenvectors were obtained. The differential equations were uncoupled using a transformation matrix of the eigenvectors and then were solved for the generalized time function. Finally, …
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