Synchronization techniques.
Word synchronization techniques, random source and delay methods applied to orthogonal group code dictionaries
ORTHOGONAL FUNCTION↗
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Appendix one - on the number of orthogonal dictionaries in the group equivalence class.
Theorems and proofs on number of orthogonal dictionaries in group equivalence class
DIGITAL COMMUNICATIONS SYSTEM↗
An algorithm for summing orthogonal polynomial series and their derivatives with applications to curve-fitting and interpolation.
Algorithm for summing orthogonal polynomial series and derivatives with applications to curve fitting and interpolation
DATA SMOOTHING↗
Report of the NASA seminar on pilot-vehicle systems identification
Comparison of cross correlation and orthogonalized exponential analyses by regression analysis for identification of human pilot dynamic response characteristics
ORTHOGONAL FUNCTION↗
Use of arbitrary quasi-orthogonals for calculating flow distribution in a turbomachine
Arbitrary quasi-orthagonal method for calculating flow distribution in turbomachine suitable for computer programming
FLOW DISTRIBUTION↗
Matrix methods for calculating zeros, coefficients, Christoffel numbers, and derivatives of some orthogonal polynomials
Jacobi matrix method for calculating zeros, coefficients, Christoffel numbers, and derivatives of orthogonal polynomials
MATRIX ALGEBRA↗
A note on non-binary orthogonal codes
Construction of orthogonal matrices using integer as elements for nonbinary coding
CODING SYSTEM↗
Orthogonal polynomials on a finite pointset
Orthogonal polynomials on finite pointset - algorithm for polynomial least square fit
ORTHOGONAL FUNCTION↗
Some aspects of the Wiener theory of nonlinear systems.
Wiener theory for analysis and synthesis of nonlinear physical systems applied to non- Gaussian and Gaussian inputs
NONLINEAR SYSTEM↗
Use of arbitrary quasi-orthogonals for calculating flow distribution in a turbomachine.
Arbitrary quasi-orthogonals for calculating flow distribution in turbomachine, noting digital computer calculations
ORTHOGONAL FUNCTION↗
Use of arbitrary quasi-orthogonals for calculating flow distribution in a turbomachine.
Arbitrary quasi-orthogonals for calculating flow distribution in turbomachine, noting digital computer calculations
VELOCITY DISTRIBUTION↗
Core and repulsion integrals for Loewdin orthogonalized atomic orbitals in pi-electron systems.
Core integral and electron repulsion integral for 2p-p1 Slater-type orbitals of allyl radical and benzene molecule transformed to Lowdin orthogonalized basis set of atomic orbitals
ORTHOGONAL FUNCTION↗
Computing the pseudo-inverse
Orthogonalization algorithm for producing pseudo inverse of matrix, and realization of algorithm with Fortran program
ORTHOGONAL FUNCTION↗
Formulation of static boundary value problems for shallow shells for multiply connected regions
Static boundary value problem for multiply connected shallow shell considered arbitrary orthogonal coordinate system
COORDINATE SYSTEM↗
Mode matching method for anisotropic guides.
Mode-matching technique for bifurcated anisotropic waveguide, discussing Bresler biorthogonality relationships to derive anisotropic guide mode equations
MODE SHAPE↗
Decision rules for a two-channel deep-space telemetry system
Optimum and suboptimum decision rules for two- channel deep space telemetry system with modulation consisting of PM with two orthogonal phase functions
Butman, S.↗
On the role of the seasonal cycle
The definition of the seasonal cycle as the projection of an atmospheric time series onto a suitably defined subset of orthogonal basis functions guarantees that any atmospheric covariance may be expressed as the sum of a seasonal cycle part and a transient part (where transient refers to departures from the seasonal cycle rather than the time mean). Results are presented for the seasonal cycle contribution to the zonally averaged fluxes of momentum and heat, and for the zonally averaged height variance, in data for: the winter season, the winter season with the Fourier basis set appropriate for the seven-year time series, and the seven-year mean. The Fourier basis set calculation indicates that the interannual variability of the momentum flux is dominated by the interactions between the seasonal cycle and the meteorologically low frequency flow.
Straus, D. M.↗
High-order cyclo-difference techniques: An alternative to finite differences
The summation-by-parts energy norm is used to establish a new class of high-order finite-difference techniques referred to here as 'cyclo-difference' techniques. These techniques are constructed cyclically from stable subelements, and require no numerical boundary conditions; when coupled with the simultaneous approximation term (SAT) boundary treatment, they are time asymptotically stable for an arbitrary hyperbolic system. These techniques are similar to spectral element techniques and are ideally suited for parallel implementation, but do not require special collocation points or orthogonal basis functions. The principal focus is on methods of sixth-order formal accuracy or less; however, these methods could be extended in principle to any arbitrary order of accuracy.
Carpenter, Mark H.↗