In some applications the observed samples are inherently nonuniform. In contrast to that in this paper we take advantage of deliberate nonuniform sampling and perform DSP where the classical approaches leave off. For instance think about mobile communication or digital radio. Deliberate nonuniform sampling promises increased equivalent sampling rates with reduced overall hardware costs. The equ...

The local reconstruction from samples is one of most desirable properties for many applications in signal processing, but it has not been given as much attention. In this paper, we will consider the local reconstruction problem for signals in a shiftinvariant space. In particular, we consider finding sampling sets X such that signals in a shift-invariant space can be locally reconstructed from ...

This article describes a new kind of processing chain based on a nonuniform sampling scheme provided by a level-crossing ADC. The chain implements IIR filters which process directly the non-uniform samples without resampling in a regular scheme. The non-uniformity in the sample times leads to choose a state representation for the filters. The stability is studied and the performances of various...

In this position paper, the roles of sampling rate, i.e. alternatively, sampling time, have been investigated in the receiver design of a concentration-encoded molecular communication (CEMC) system. While several signal detection algorithms so far in CEMC are based on uniform sampling of concentration intensity at the RN, this paper presents four new sampling rate selection schemes based on bot...

We establish tight bounds on the amount on nonuniformity that is necessary for extracting a string with randomness rate 1 from a single source of randomness with lower randomness rate. More precisely, as instantiations of more general results, we show that while O(1) amount of advice regarding the source is not enough for extracting a string with randomness rate 1 from a source string with cons...

The construction of weighted extended B-splines (web-splines), as recently introduced by the authors and J. Wipper for uniform knot sequences, is generalized to the nonuniform case. We show that web-splines form a stable basis for splines on arbitrary domains in R which provides optimal approximation power. Moreover, homogeneous boundary conditions, as encountered frequently in finite element a...

This paper investigates the distribution and nonuniform complexity of problems that are com plete or weakly complete for ESPACE under nonuniform reductions that are computed by polynomial size circuits P Poly Turing reductions and P Poly many one reductions A tight exponential lower bound on the space bounded Kolmogorov complexities of weakly P Poly Turing complete problems is established A Sma...

Purpose. Striatal single photon emission computed tomography (SPECT) imaging of the dopaminergic system is becoming increasingly used for clinical and research studies. The question about the value of nonuniform attenuation correction has become more relevant with the increasing availability of hybrid SPECT-CT scanners. In this study, the value of nonuniform attenuation correction and correctio...

In this paper a new model for compression of Laplacian source is given. This model consists of hybrid quantizer whose output levels are coded with Golomb-Rice code. Hybrid quantizer is combination of uniform and nonuniform quantizer, and it can be considered as generalized quantizer, whose special cases are uniform and nonuniform quantizers. We propose new generalized optimal compression functi...

Smooth muscle cells (SMCs) are organized in various patterns in blood vessels. Whereas straight blood vessels mainly contain circumferentially aligned SMCs, curved blood vessels are composed of axially aligned SMCs in regions with vortex blood flow. The vortex flow-dependent feature of SMC alignment suggests a role for nonuniform fluid shear stress in regulating the pattern formation of SMCs. H...