Publications [#287094] of Ingrid Daubechies

Papers Published

1. Daubechies, I; Saab, R, A Deterministic Analysis of Decimation for Sigma-Delta Quantization of Bandlimited Functions, IEEE Signal Processing Letters, vol. 22 no. 11 (November, 2015), pp. 2093-2096, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1070-9908 [doi]
   (last updated on 2024/11/08)

   Abstract:
   We study Sigma-Delta (Σ Δ) quantization of oversampled bandlimited functions. We prove that digitally integrating blocks of bits and then down-sampling, a process known as decimation, can efficiently encode the associated Σ Δ bit-stream. It allows a large reduction in the bit-rate while still permitting good approximation of the underlying bandlimited function via an appropriate reconstruction kernel. Specifically, in the case of stable rth order Σ Δ schemes we show that the reconstruction error decays exponentially in the bit-rate. For example, this result applies to the 1-bit, greedy, first-order Σ Δ scheme.