Feichtinger, H.G. and K. Grochenig,Error analysis in regular and irregular sampling theory, Applicable analysis, to appear.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....have been used. In essence, all rendering methods involve resampling, which requires reconstruction of a continuous signal from a set of discrete samples. Since Shannon s sampling theorem [53] does not hold for irregular spacing between samples, one have to consider recently developed theory [13] to guarantee some level of reconstruction quality. Visualization of Unsteady Jet Flow The accurate analysis of unsteady flow in high speed jets is essential in the identification and assessment of noise production mechanisms. The importance of this problem is driven by more stringent noise ....

H.G. Feichtinger, and K. Grochenig,"Error Analysis in Regular and Irregular Sampling Theory ", Applicable Analysis, 50:167-189, 1993.

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Feichtinger, H.G. and K. Grochenig,Error analysis in regular and irregular sampling theory, Applicable analysis, to appear.

....In this paper we propose three theorems on the representation of band limited functions in a solid Banach space of functions on a locally compact abelian (lca. group G. Although the method of proof is closely related to the techniques described in an earlier paper by Feichtinger and Gr ochenig [8] (for G = R d ) the results are more general in the following aspects: they are valid for general lca. groups, thus providing the irregular analogue of Kluvanek s sampling theorem over general lca. groups, which in turn has found attention in the applied community recently (cf. 1] for ....

H. G. Feichtinger and K. Grochenig. Error analysis in regular and irregular sampling theory. Applicable Analysis, 50(3-4):167-189, 1993.

....required in order to ensures the existence of non zero band limited functions. In the present paper we study various types of error estimates for these reconstruction methods. Our theorems extend the corresponding earlier results in the literature, given for the Euclidean n space only, as in (cf. [8]) We will give qualitative estimates for the jitter error, for the aliasing error, or truncation errors and combined errors. These error estimates apply uniformly to large families of function spaces. Even for the Euclidean case our results apply to cases which have not been covered previously. ....

.... of the covering induced by the supports of the functions ( i ) This relaxation will allow us to handle also the situation of clusters, but prohibits the use of simple equivalent (e.g. weighted norms) over the families of sampling values (f(x i ) Following Feichtinger and Gr ochenig [8], we de ne for any xed compact (and symmetric) neighborhood U 0 of the identity the local maximal function (x) sup y2U0 jf(x y)j; 2) and furthermore for any compact neighborhood U the local U oscillation by 5 Osc U f(x) sup z2U jf(x z) f(x)j: 3) We will make use of the space CB de ned ....

H.G. Feichtinger and K. Grochenig. Error analysis in regular and irregular sampling theory, Appl. Anal. 50 (1993), 167-189.

No context found.

H.G.Feichtinger and K.Grochenig, Error analysis in regular and irregular sampling theory, Appl. Anal., Vol.50(1993), 167-189.

....variations of the Shannon Whittaker Kotel nikov sampling theorem [6, 26, 33] However, in many applications, for instance in astronomy, seismology, tomography and physics, one is forced to sample signals at nonuniformly spaced points. This problem has received much attention in the past years, see [2, 14 16, 18, 31] for history and references. But despite an abundance of work on the irregular sampling problem [30] lists about 300 references its numerical and algorithmic aspects have been neglected so far. Simple iterative algorithms have Correspondence to: K. Grochenig The second named author ....

Feichtinger, H.G., Grochenig, K: (1993) Error analysis in regular and irregular sampling theory. Applicable Analysis 50, 167--189

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H. G. Feichtinger and K. Grochenig. Error analysis in regular and irregular sampling theory. Applicable Analysis, 50:167--189, 1993.

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