Efficient Sampling of Band-Limited Signals From Sine Wave Crossings

@article{Selva2012EfficientSO,
  title={Efficient Sampling of Band-Limited Signals From Sine Wave Crossings},
  author={Jesus Selva},
  journal={IEEE Transactions on Signal Processing},
  year={2012},
  volume={60},
  pages={503-508}
}
  • J. Selva
  • Published 30 September 2010
  • Computer Science
  • IEEE Transactions on Signal Processing
This correspondence presents an efficient method for reconstructing a band-limited signal in the discrete domain from its crossings with a sine wave. The method makes it possible to design analog-to-discrete (A/D) converters that only deliver the crossing timings, which are then used to interpolate the input signal at arbitrary instants. Potentially, it may allow for reductions in power consumption and complexity in these converters. The reconstruction in the discrete domain is based on a… 
View on IEEE
arxiv.org
6 Citations
Background Citations
1
Methods Citations
3

Figures from this paper

6 Citations

Citation Type

Citation Type

Amplitude sampling for signal representation
TLDR
This thesis explores signal representation and recovery based on uniform amplitude sampling with either assuming infinite-precision timing information or time restricted to a uniform grid.
Delta-Ramp Encoder for Amplitude Sampling and Its Interpretation as Time Encoding
TLDR
This paper explores signal representation and recovery based on uniform amplitude sampling with assumed infinite precision timing information and proposes an iterative amplitude-sampling algorithm that achieves a faster convergence rate than frame-based reconstruction for nonuniform sampling.
An Interpolation Filter Design for the Full Digital Audio Amplifier
TLDR
A novel design based on the recently-proposed modified Farrow filter is proposed, which shows a better pass-band distortion performance maintaining similar degree of complexity compared with the conventional Lagrange interpolation filter.
Estimation of Time-Limited Channel Spectra From Nonuniform Samples
  • J. Selva
  • Computer Science
    IEEE Transactions on Signal Processing
  • 2015
TLDR
Using this alternative model, a linear estimator is presented that approximately minimizes the expected root-mean-square (RMS) error for a deterministic channel and takes into account the spectrum's smoothness (time width), thus providing a performance improvement.
On Quasi-Isometry of Threshold-Based Sampling
TLDR
This paper characterizes this metric structure, making Hermann Weyl's discrepancy measure canonical for threshold-based sampling, and demonstrates the usefulness of the approach by means of a novel adaptive threshold- based sampling scheme.
Delta-Ramp Encoder: Amplitude Sampling meets Time Encoding
TLDR
This paper explores signal representation and recovery based on uniform amplitude sampling with assumed infinite precision timing information and proposes an iterative amplitude-sampling algorithm which achieves a faster convergence rate than frame-based reconstruction for nonuniform sampling.

References

SHOWING 1-10 OF 30 REFERENCES
Functionally Weighted Lagrange Interpolation of Band-Limited Signals From Nonuniform Samples
  • J. Selva
  • Computer Science
    IEEE Transactions on Signal Processing
  • 2009
TLDR
It is shown in this paper that the function can be selected so that the interpolation error decreases exponentially with the number of samples, for the case in which the sampling instants have a maximum deviation from a uniform grid.
A zero crossing-based spectrum analyzer
  • S. Kay, R. Sudhaker
  • Computer Science, Engineering
    IEEE Trans. Acoust. Speech Signal Process.
  • 1986
TLDR
The zero-based spectrum analyzer alleviates many of the shortcomings of the conventional A/D converter-based Spectrum analyzer, in particular, the hardware is simple and the dynamic range and speed limitations of the A/ D converter are reduced.
Encoding Bandpass Signals Using Zero/Level Crossings: A Model-Based Approach
TLDR
The proposed signal representation is an alternative to standard analog to discrete conversion based on the sampling theorem, and in principle possesses some of the desirable attributes of signal representation in natural sensory systems.
Design of Barycentric Interpolators for Uniform and Nonuniform Sampling Grids
  • J. Selva
  • Mathematics
    IEEE Transactions on Signal Processing
  • 2010
TLDR
An evaluation procedure for barycentric interpolators and their derivatives is presented that minimizes the number of divisions, solving at the same time the numerical problems associated with small denominators.
An Implicit Sampling Theorem for Bounded Bandlimited Functions
Band-Limited Random-Real-Zero Signals
Band-limited (BL) random-real-zero (RRZ) signals are a class of stationary stochastic processes whose zero crossings are the randomly perturbed zeros of a sinusoid. They are the only nontrivial…
Zero-Crossing-Based Ultra-Low-Power A/D Converters
TLDR
The technical issues unique to these A/D converters as well as solutions that have been developed to improve their performance and practicality are discussed and a series of prototype designs whose performance ranges from 8 bit, 200 MS/s to 12 bit, 50MS/s are described.
Zero-crossing based spectral analysis and SVD spectral analysis for formant frequency estimation in noise
TLDR
It is shown that an initial stage of filter-bank analysis is effective for achieving noise robustness and the zero-crossing method performs well for estimating low frequencies and hence for first formant frequency estimation in speech at high noise levels.
Analog-to-Digital Converters: Digitizing the Analog World
TLDR
New mixed-signal circuit architectures, which are more suitable for A/D conversion in scaled CMOS technologies and are more energy efficient than traditional architectures, are described.
Nonuniform sampling : theory and practice
TLDR
1. An Introduction to Sampling Analysis P. Marvasti, M.I. Zayed, P.L. Butzer, et al.
...
1
2
3
...