Interpolation of bandlimited functions from quantized irregular samples
© 2002 IEEE. The problem of reconstructing a π-bandlimited signal f from its quantized samples taken at an irregular sequence of points (t k ) k∈ZZ arises in oversampled analog-to-digital conversion. The input signal can be reconstructed from the quantized samples (f(t k )) k∈ZZ by estimating samples (f(n/λ)) n∈ZZ , where λ is the average uniform density of the sequence (t k ) k∈ZZ , assumed here to be greater than one, followed by linear low-pass filtering. We study three techniques for estimating samples (f(n/λ)) n∈ZZ from quantized irregular samples (f(t k )) k∈ZZ , including Lagrangian interpolation, and two other techniques which result in a better overall accuracy of oversampled A/D conversion.
Cvetković, Z; Daubechies, I; Logan, BF
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