• Aucun résultat trouvé

Representation of Signals as Series of Orthogonal Functions

N/A
N/A
Info
Télécharger
Protected

Academic year: 2021

Partager "Representation of Signals as Series of Orthogonal Functions"

Copied!
29
0
0

Chargement.... (Voir le texte intégral maintenant)

Texte intégral

Loading

Figure

Fig. 1. Fourier series of a square wave of period T = 1. (a) Signal (red dashed line) and partial Fourier series with N = 10 (blue line)
Fig. 2. Left: Legendre polynomials P n (x) for n = 0 to 4. Right: Legendre polynomial for n = 50 and its approximation as a cosine function.
Fig. 3. Fourier-Legendre reconstruction of the Gaussian function of Eq. 3.11 with a= 0.3.
Fig. 4. Spherical coordinate system: r is the distance from the center, θ the colatitude (zero at North pole) and φ is the longitude (zero on the x axis).
+7

Références

Télécharger maintenant ( PDF - 29 Page - 826.01 KB )

Documents relatifs

On the Hausdorff summability of series associated with a Fourier and its allied series

TRIPATHY, On the absolute Hausdorff summability of some series associated with Fourier series and its allied series,

ON THE ABSOLUTE CESARO SUMMABILITY FACTORS OF FOURIER SERIES (*)

Various results on summability factors of Fourier series due to Prasad [12], Izumi and Kwata [5], Cheng [3], Pati [8] and Dikshit [4] were generalized by Pati and Sinha [11].. in

Winding numbers and Fourier series

In October 1995 Ha¨ım Br´ezis visited Rutgers University and gave a lecture at the seminar of Israel Gelfand on his recent work with Louis Nirenberg on the extension of the notion

series entieres Fourier

La convergence normale de la s´ erie P f n implique sa convergence uniforme et, pour tout x ∈ E, la convergence absolue de la s´ erie de terme g´ en´ eral f n (x).. Remarquons

Fourier series

[r]

Multifractal analysis of the divergence of Fourier series

There exist old results measuring the size of sets of points of divergence of Fourier series.. For example, in the book of Kahane and Salem [9], we can find such results for

On convergence of orthogonal series of Bessel functions

L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » ( http://www.sns.it/it/edizioni/riviste/annaliscienze/ ) implique l’accord

On the absolute summability factors of Fourier series at a given point

Toute utili- sation commerciale ou impression systématique est constitutive d’une infraction pénale.. Toute copie ou impression de ce fichier doit conte- nir la présente mention