Title :
Interpolation of bandlimited functions from quantized irregular samples
Author :
Cvetkovi, Zoran ; Daubechies, Ingrid ; Logan, Benjamin F.
Abstract :
The problem of reconstructing a π-bandlimited signal f from its quantized samples taken at an irregular sequence of points (tk)k∈Z arises in oversampled analog-to-digital conversion. The input signal can be reconstructed from the quantized samples (f(tk))k∈Z by estimating samples (f(n/λ))n∈Z, where λ is the average uniform density of the sequence (tk)k∈Z, assumed here to be greater than one, followed by linear low-pass filtering. We study three techniques for estimating samples (f(n/λ))n∈Z from quantized irregular samples (f(tk))k∈Z, including Lagrangian interpolation, and two other techniques which result in a better overall accuracy of oversampled A/D conversion.
Keywords :
bandlimited signals; binary sequences; interpolation; low-pass filters; quantisation (signal); signal reconstruction; signal sampling; A/D conversion; Lagrangian interpolation; average uniform density; bandlimited functions; irregular sequence; linear low-pass filtering; oversampled analog-to-digital conversion; pi-bandlimited signal; quantized irregular samples; sample estimation; signal reconstruction; Analog-digital conversion; Costs; Interpolation; Lagrangian functions; Predictive models; Quantization; Signal analysis; Signal resolution; Signal sampling; Statistical analysis;
Conference_Titel :
Data Compression Conference, 2002. Proceedings. DCC 2002
Print_ISBN :
0-7695-1477-4
DOI :
10.1109/DCC.2002.999981
