Interpolation of bandlimited functions from quantized irregular samples
- 1 January 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 10680314,p. 412-421
- https://doi.org/10.1109/dcc.2002.999981
Abstract
The problem of reconstructing a /spl pi/-bandlimited signal f from its quantized samples taken at an irregular sequence of points (t/sub k/)/sub k/spl isin//spl Zopf// arises in oversampled analog-to-digital conversion. The input signal can be reconstructed from the quantized samples (f(t/sub k/))/sub k/spl isin//spl Zopf// by estimating samples (f(n//spl lambda/))/sub n/spl isin//spl Zopf//, where /spl lambda/ is the average uniform density of the sequence (tk)/sub k/spl isin//spl Zopf//, assumed here to be greater than one, followed by linear low-pass filtering. We study three techniques for estimating samples (f(n//spl lambda/))/sub n/spl isin//spl Zopf// from quantized irregular samples (f(t/sub k/))/sub k/spl isin//spl Zopf//, including Lagrangian interpolation, and two other techniques which result in a better overall accuracy of oversampled A/D conversion.Keywords
This publication has 7 references indexed in Scilit:
- Single-bit oversampled A/D conversion with exponential accuracy in the bit-ratePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- On simple oversampled A/D conversion in L/sup 2/(R)IEEE Transactions on Information Theory, 2001
- Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimatesIEEE Transactions on Signal Processing, 1994
- Signals Designed for Recovery After Clipping-II. Fourier Transform Theory of RecoveryAT&T Bell Laboratories Technical Journal, 1984
- Polynomial Interpolation of Randomly Sampled Bandlimited Functions and ProcessesSIAM Journal on Applied Mathematics, 1982
- System error bounds for Lagrange polynomial estimation of band-limited functions (Corresp.)IEEE Transactions on Information Theory, 1975
- Spectra of Quantized SignalsBell System Technical Journal, 1948