Truncation and aliasing errors for Whittaker-Kotelnikov-Shannon sampling expansion

Let B^pΩ, 1 ≤ p 〈 ∞, be the space of all bounded functions from Lp（R） which can be extended to entire functions of exponential type Ω. The uniform error bounds for truncated Whittaker-Kotelnikov-Shannon series based on local sampling are derived for functions f ∈ B^pΩ without decay assumption at infinity. Then the optimal bounds of the aliasing error and truncation error of Whittaker-Kotelnikov-Shannon expansion for non-bandlimited functions from Sobolev classes L/（Wp（R）） are determined up to a logarithmic factor.

Aliasing Errors in Parallel Signature Analyzers

A Linear Feedback Shift Register (LFSR)can be used to compress test response data as a Signature Analyzer(SA). Parallel Signature Analyzers (PSAs) implemented as multiple input LFSRs are faster and re- quire less hardware overhead than Serial Signature Analyzers (SSAs)for compacting test response data for Built-In Serf-Test (BIST)in IC or hoard-testing environments. However, the SAs are prone to aliasing errors because of some specific types of error patterns. An alias is a faulty output signature that is identical to the fault-free signature. A penetrating analysis of detecting capability of SAs depends strongly on mathematical manipulations, instead of being aware of some special cases or examples. In addition , the analysis should not be restricted to a particular structure of LFSR, but be appropriate for various structures of LFSRs. This pa- per presents necessary and sufficient conditions for aliasing errors based on a complete mathematical descrip- tion of various types of SAs. An LFSR reconfiguration scheme is suggested which will prevent any aliasing double errors. Such a prevention cannot be obtained by any extension of an LFSR.

On the aliasing error in a class of bidimensional wavelet subspaces

This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2（R^2）-norm estimation of the aliasing error. the setting of a class of bidimensional matrix of determinant ±2. The explicit is established, from which we obtain an

Feasibility study on application of satellite formations for eliminating the influence from aliasing error of ocean tide model

Currently,aliasing error of temporal signal model becomes the main factor constraining the accuracy of temporal gravity field.In provision of three types of satellite formations,i.e.,GRACE-type,Pendulum-type and n-s-Cartwheel-type,which are suitable for gravity mission and composed of observation in different directions,here we design two cases and conduct a simulation experiment on the feasibility to apply satellite formations for eliminating the influence from the aliasing error of ocean tide models.The result of our experiment shows that,when the aliasing error is disregarded,n-s-Cartwheel formation can provide the best conditions for gravity field determination,which,compared with GRACE-type,can improve the accuracy by 43%.When aliasing error of the ocean tide model acts as the main source of error,the satellite formation applied in dynamic method for gravity field inversion cannot eliminate aliasing or improve the accuracy of gravity field.And due to its higher sensitivity to the high-degree variation of gravity field,the Cartwheel-type formation,which includes the radial observation,can result in the gravity field containing more high-frequency signals for the ocean tide model error,and lead to a dramatically larger error.

ON BANDLIMITED SCALING FUNCTION

This paper discuss band-limited scaling function, especially on the interval band case and three interval bands case, its relationship to oversampling property and weakly translation invariance are also studied. At the end, we propose an open problem.