On Nonuniform Sampling of Bandwidth-Limited Signals

Abstract-Uniform quantizers are often modeled as additive uncorrelated noise sources. This paper explores the validity of the additive noise model in the environment of time-interleaved A/D converters. Cross-channel quantizer error correlation is an important discrepancy that arises for channel time delays in close proximity. It is demonstrated through simulation that negative error correlation occurs for different granularity quantizers in close proximity. Statistical analysis is presented to characterize error correlation between quantizers with different granularity. A technique exploiting this correlation often yields significant performance gains above the optimal additive noise model solution.

show abstract

“…Otherwise, the interleaved grid can be characterized as recurrent non-uniform sampling ( [6], [7]). The goal of the second stage in Fig.…”

Section: Multi-channel Sampling and Reconstructionmentioning

confidence: 99%

Exploiting cross-channel quantizer error correlation in time-interleaved analog-to-digital converters

McMichael

Maymon

Oppenheim

2011

2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)

View full text Add to dashboard Cite

show abstract

“…The stability in a nonuniform sampling process, i.e., the requirement that small errors affecting the sample values produce small errors in the recovered functions, has been exhaustively investigated in [5,6], wherein it has been shown that a stable sampling cannot be performed at an "average" rate lower than the Nyquist one. Some closed-form expressions, which allow the interpolation of bandlimited functions from nonuniform samples, have been reported in [7]. However, they are valid only for particular sampling points arrangements, are cumbersome and not user friendly.…”

Section: Introductionmentioning

confidence: 99%

On the Compensation of Probe Positioning Errors When Using a Nonredundant Cylindrical Nf-Ff Transformation

D’Agostino¹,

Ferrara²,

Gennarelli³

et al. 2010

PIER B

View full text Add to dashboard Cite

Abstract-Two different approaches for compensating the probe positioning errors in a near-field-far-field transformation with cylindrical scanning using a nonredundant number of measurements are presented and experimentally validated in this paper. In order to evaluate the uniformly distributed samples from the irregularly spaced ones, the former makes use of the singular value decomposition method, whereas the latter employs an iterative technique. In both the cases, the near-field data needed by a standard near-field-farfield transformation are efficiently evaluated via an optimal sampling interpolation algorithm.

show abstract

“…Various authors ( [2], [3], [4], and [5]) showed that PNS can be used for sampling and reconstruction of bandpass and multiband signals using lower than Nyquist rates. Landau [6] proved that the minimum sampling rate for arbitrary sampling and reconstruction of multiband signals asymptotically reaches the signal's total bandwidth B which may be significantly lower than the Nyquist rate.…”

Section: Introductionmentioning

confidence: 99%