This study considers linear filtering methods for minimising the end-to-end average distortion of a fixed-rate source quantisation system. For the source encoder, both scalar and vector quantisation are considered. The codebook index output by the encoder is sent over a noisy discrete memoryless channel whose statistics could be unknown at the transmitter. At the receiver, the code vector corre...

Transmitter leakage (TxL) has a significant impact on the performance of frequency division duplex devices using zero-IF receivers and thus requires a suitable compensation. In contrast to analog approaches, digital TxL compensation approaches can easily be reconfigured and therefore are highly attractive for multiband mobile devices. In this contribution, we present a system model, describing ...

A quantisation of the KP equation on a cylinder is proposed that is equivalent to an infinite system of non-relativistic one-dimensional bosons carrying masses m = 1, 2, . . . The Hamiltonian is Galilei-invariant and includes the split Ψ m1 Ψ m2 Ψm1+m2 and merge Ψ m1+m2 Ψm1Ψm2 terms for all combinations of particles with masses m1, m2 and m1 + m2, with a special choice of coupling constants. Th...

We show that if space is compact, then trajectories cannot be defined in the framework of the quantum Hamilton–Jacobi (HJ) equation. The starting point is the simple observation that when the energy is quantised it is not possible to make variations with respect to the energy, and the time parameterisation t − t0 = ∂ES0, implied by Jacobi’s theorem, which leads to the group velocity, is ill def...

A mathematical quantisation of a Random Access Memory (RAM) is proposed starting from its matrix representation. This quantum RAM (q-RAM) is employed as the neural unit of q-RAM-based Neural Networks, q-RbNN, which can be seen as the quantisation of the corresponding RAM-based ones. The models proposed here are direct realisable in quantum circuits, have a natural adaptation of the classical le...

We show that the SuperKamiokande atmospheric neutrino results explain electric charge quantisation, provided that the oscillation mode is ν µ → ν τ and that the neutrino mass is of the Majorana type.

In this letter we wish to clarify in which sense the tensor nature of the commutation relations [xμ,xν ] = iθμν underlying Minkowski spacetime quantisation cannot be suppressed even in the twisted approach to Lorentz covariance. We then address the vexata quaestio: “why θ?”

We present a new algorithm for rescaling images inspired by fractal coding. It uses a statistical model of the relationship between detail at different scales of the image to interpolate detail at one octave above the highest spatial frequency in the original image. We compare it with Bspline and bilinear interpolation techniques and show that it yields a sharper looking rescaled image.