The use of linear filters, i.e. convolutions, inevitably introduces dependencies in the uncertainties of the filter outputs. Such non-vanishing covariances appear both between different positions and between the responses from different filters (even at the same position). This report describes how these covariances between the output of linear filters can be computed. We then examine the induc...

The common conviction about FIR (finite impulse response) digital filters is that the number of necessary taps, to reach the same performance as provided by IIR (infinite impulse response) digital filters, is usually too large. Moreover, the standard FIR filter design algorithm (Remez exchange) allows the design of linear-phase filters only. Therefore, IIR filters are often preferred over FIR o...

Image compression via adaptive perfect reconstruction filter banks is studied. AnM -channel filter bank is employed in a lifting scheme using MSE-adaptive predictors. FFT-ordered L-filters are used for prediction. L-filters include a class of linear and nonlinear filters. A switching between three different filters is made for applyingdifferent filters over smooth regions, around edges and over...

Abstract In this paper, a new sparsity‐optimised Farrow structure variable fractional delay (SFS‐VFD) filter is proposed to address the aperture effect in wideband array. Our method based on coefficient (anti‐)symmetry and optimises number orders of its sub‐filters, greatly reducing non‐zero coefficients. The established cost function formulated as parametric minimisation problem with multiple ...

Available online 19 July 2011

Two principal objectives of the 1983 Mental Health Act were to decrease the use of emergency orders and to give patients on observation orders the right of appeal. Statistics were collected from the 13 hospitals that admit acute psychiatric patients in the Greater Manchester area, and the figures for 1980-1 were compared with those for 1984-5. Changes in use of the different sections were exami...