The frequency‐domain grating

FrequencyDomain Identification:AnAlgorithmBasedOn AdaptiveRationalOrthogonal System ?

This paper presents a new adaptive algorithm for frequency-domain identification. The algorithm is related to the rational orthogonal system (Takenaka-Malmquist system). This work is based on an adaptive decomposition algorithm previously proposed for decomposing the Hardy space functions, in which a greedy sequence is obtained according to the maximal selection criterion. We modify the algorit...

Independent Scaling of a Delay in FrequencyDomain System

|Numerical conditioning and identiiability are key factors in frequency domain system identiication. Independent frequency scaling of a delay in transfer function models is studied in view of these two topics, both for ordinary s-domain descriptions as well as for descriptions with orthogonal polyno-mials in the Laplace-plane. Algorithms are proposed to device independent scaling during estimat...

Independent Scaling of a Delay in FrequencyDomain System Identi cation

Numerical conditioning and identiiability are key factors in frequency domain system identiication. Independent frequency scaling of a delay in transfer function models is studied in view of these two topics, both for ordinary s-domain descriptions as well as for descriptions with orthogonal polynomials in the Laplace-plane. Algorithms are proposed to determine optimal independent scaling durin...

The Diffraction Grating

The abutting grating illusion

Two line gratings abutting each other with a phase shift of half a cycle elicit the perception of an illusory line running orthogonally between the two sets of grating lines. We found that rating strength increases with increasing number of lines, line length, and phase angle. In contrast, rating strength decreases with increasing spacing of lines, lateral misalignment, rotation of one grating ...