We consider online stratified sampling for Monte Carlo estimation of the integral of a function given a finite budget n of noisy evaluations to the function. In this paper we address the problem of choosing the best number K of strata as a function of n. A large K provides a high quality stratification where an accurate estimate of the integral of f could be computed by an optimal oracle alloca...

Quadrature mirror filter (QMF) banks are essential building blocks of a subband/transform coder. Generally, one wants the filter bank to have the perfect reconstruction (PR) property, which means that, in absence of coding, a delayed copy of the original signal is reconstructed exactly in the critically-sampled analysis-synthesis system of Fig. 1. Although there are useful filter banks that are...

In this paper coarse media filtration has been analysed as an alternative to the traditional settling in primary, secondary and tertiary treatment of wastewater. Various filter media configurations were evaluated for enhanced primary filtration. It was found that a dual media configuration based on Kaldnes biofilm media (1 and K2modified) were most suitable when taking both separation efficienc...

We examine the problem of approximating a complex frequency response by a real-valued FIR lter according to the L 2 norm subject to additional inequality constraints for the complex error function. Starting with the Kuhn-Tucker optimality conditions which specialize to a system of nonlinear equations we deduce an iterative algorithm. These equations are solved by Newton's method in every iterat...

17 Abstract— An analysis is made on the computational complexity of Block Least Mean Square Adaptive Filter where the filter computation is decomposed into M sub filters and M=N/L where N is the filter size, L is the block size. The decomposition is done inorder to favour time-multiplexing of the filter output computation and weight-increment term computation of adaptive filter. This structure ...

The well-known a(3 filter achieves its best performance when measurement outliers are rare. Two modifications of the a(3 filter are presented for improving its performance when outliers are commonplace. The a f3 J-l filter uses a drag coefficient to ensure that the target motion model has a finite asymptotic velocity variance. Although the af3J-l filter is less sensitive to outliers than the a ...

The relationship of filter bank trees to wavelet packet trees for subspaces, decimation operators, and coordinates of the projections of a function onto the subspaces is briefly explained. Two designs for the filter banks are summarized and the equations for the designs are provided. For one of these the prototype filters are all the same, and for the other they are the same at each level of th...