modulation is a proven method to realize high-resolution A/D converters. A particularly efficient way to implement such a modulator uses double-sampling where the sampling frequency is twice the master-clock frequency. Unfortunately path mismatch between both sampling branches causes a part of the quantisation noise to fold from the Nyquist frequency back in the signal band. This degrades the p...

We show that several standard associative quantizations can be expressed as cochain module twists in the spirit of Moyal products, at least to O(~), but where the twist element is not a cocycle. This puts such quantisations induced by covariance groups into the setting of our previous work on semiclassicalisation of differential structures where we showed that that noncommutative geometry force...

Coupling any interacting quantum mechanical system to gravity in one (time) dimension requires the cosmological constant to belong to the matter energy spectrum and thus to be quantised, even though the gravity sector is free of any quantum dynamics. Furthermore, physical states are also confined to the subspace of the matter quantum states for which the energy coincides with the value of the c...

Abstract: In this study, an efficient approach for detecting zero-quantised discrete cosine transform (DCT) coefficients for video coding is developed. Compared with conventional detection methods of zero-quantised DCT coefficients used in H.264/AVC, the proposed algorithm has two major features. First, a new classification of patterns for DCT, quantisation, inverse quantisation and inverse dis...

A generalisation of the recently formulated nonlinear quantisation of a parameterised theory is presented in the context of quantum gravity. The parametric quantisation of a Friedmann universe with a massless scalar field is then considered in terms of the analytic solutions of the resulting evolution equations. PACS numbers: 04.20.Fy, 04.60.Ds, 04.60.Kz, 11.10.Lm In a recent paper [1] the quan...