Introduction 2 Signal arithmetic 3 Signals and noise 6 Smoothing 11 Differentiation 17 Resolution enhancement 26 Harmonic analysis 28 Convolution 31 Deconvolution 32 Fourier filter 34 Integration and peak area measurement 35 Linear least-squares curve fitting 37 Multicomponent spectroscopy 49 Non-linear iterative curve fitting 54 Accuracy and precision of peak parameter measurement 58 SPECTRUM ...

Introduction 2 Signal arithmetic 3 Signals and noise 6 Smoothing 11 Differentiation 17 Peak Sharpening 26 Harmonic analysis 28 Convolution 31 Deconvolution 32 Fourier filter 34 Integration and peak area measurement 35 Linear least-squares curve fitting 37 Multicomponent spectroscopy 49 Non-linear iterative curve fitting 54 Accuracy and precision of peak parameter measurement 58 SPECTRUM signal ...

We present a practical S-matrix to potential inversion procedure for coupled-channel scattering. The inversion technique developed is applied to non-diagonal S J ll ′ for spin one projectiles, yielding a tensor interaction T R and is also applicable to spin-1 2 plus spin-1 2 scattering. The method is a generalization of the iterative-perturbative, IP, method. It is tested and evaluated and we i...

Introduction 2 Signal arithmetic 3 Signals and noise 6 Smoothing 11 Differentiation 17 Peak Sharpening 26 Harmonic analysis 28 Convolution 31 Deconvolution 32 Fourier filter 34 Integration and peak area measurement 35 Linear least-squares curve fitting 37 Multicomponent spectroscopy 49 Non-linear iterative curve fitting 54 Accuracy and precision of peak parameter measurement 58 SPECTRUM signal ...

Iterative Proportional Fitting (IPF), also known as biproportional tting, `raking' or the RAS algorithm, is an established procedure used in a variety of applications across the social sciences. Primary amongst these for urban modelling has been its use in static spatial microsimulation to generate small area microdata individual level data allocated to administrative zones. The technique is ma...

Iterative Proportional Fitting (IPF) generates from an input matrix W a sequence of matrices that converges, under certain conditions, to a specific limit matrix Ŵ . This limit is the relative-entropy nearest solution to W among all matrices of prescribed row marginals r and column marginals c. We prove this known fact by a novel strategy that contributes a pure algorithmic intuition. Then we f...

Clothoids, i.e. curves Z(s) in RI whoem curvatures xes) are linear fitting functions of arclength ., have been nued for some time for curve fitting purposes in engineering applications. The first part of the paper deals with some basic interpolation problems for lothoids and studies the existence and uniqueness of their solutions. The second part discusses curve fitting problems for clothoidal ...

In curve fitting problems, the selection of knots in order to get an optimized curve for a shape design is well-known. For large data, this problem needs to be dealt with optimization algorithms avoiding possible local optima and at the same time getting to the desired solution in an iterative fashion. Many evolutionary optimization techniques like genetic algorithm, simulated annealing have al...