Ellipses and harmonic Möbius transformations.
On the subgroups of the Picard group.
Coarse quantization for random interleaved sampling of bandlimited signals
The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let be a bandlimited signal that is sampled on a collection of interleaved grids { + } with offsets T n n = 1 N ⊂ [ 0 ,T ] . If the offsets are chosen independently and uniformly at random from [0] and if the sample values of are quantized with a first order Sigma-Delta algorithm, then with high probability the quantization error...
Coarse quantization for random interleaved sampling of bandlimited signals
The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let be a bandlimited signal that is sampled on a collection of interleaved grids { + } with offsets . If the offsets are chosen independently and uniformly at random from [0] and if the sample values of are quantized with a first order Sigma-Delta algorithm,...
On the principal congruence subgroups of the Hecke-group .
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