This paper introduces a new scheme for the numerical computation involving shock waves. The essence of the scheme is to adaptively implement a conjugate low-pass lter to e ectively remove the accumulated numerical errors produced by a set of high-pass lters. The advantages of using such an adaptive algorithm are its controllable accuracy, relatively low cost and easy implementation. Numerical e...

One of the major challenges for state estimation algorithms, such as the Kalman lter, is the impact of outliers that do not match the assumed Gaussian process and measurement noise. When these errors occur they can induce large state estimate errors and even lter divergence. This paper presents a robust recursive ltering algorithm, the l1-norm lter, that can provide reliable state estimates in ...

This paper presents formulation and validation of an adaptive "lter for real-time calibration of redundant signals consisting of sensor data and/or analytically derived measurements. The measurement noise covariance matrix is adjusted as a function of the a posteriori probabilities of failure of the individual signals. An estimate of the measured variable is obtained as a weighted average of th...

The lter-and-reene strategy is well-established as the basis for spatial join algorithms. In contrast to the lter step, the reenement step has received little attention, despite contributing signiicantly to the total cost of a join evaluation. Sorting candidate tuples as produced by the lter step has recently been shown to reduce the I/O cost of reenement. Our paper reports investigations of sp...

Frequency-warped "lters are bene"cial in many audio applications because they inherently use nonuniform frequency resolution which may be matched so that it approximates the frequency representation of hearing. Warped transversal "lters are immediately obtained by replacing the unit delays of a conventional "lter with "rst-order allpass blocks. Implementation of warped recursive "lters is a pro...

Wavelet and short-time Fourier analysis is introduced in the context of frequency decompo-sitions. Wavelet type frequency decompositions are associated with lter banks, and using thisfact, lter bank theory is used to construct multiplicity M wavelet frames and tight frames. Theway in which lter banks lead to decomposition and recomposition of arbitrary separable Hilbertspaces is...

A general high-Q biquad lter architecture capable of operating in the GHz range is proposed and analyzed. This lter, which is usable in bandpass and lowpass applications, utilizes two e ective Q-enhancement techniques to circumvent the low-Q characteristics inherent in the circuit. Simulation results employing standard 0.5 m CMOS technology have successfully veri ed that the center frequency tu...

Machines Bill C.H. Chang, Roy C. Ko and Saman K. Halgamuge Mechatronics Research Group Dept. of Mechanical and Manufacturing Engineering The University of Melbourne, Australia bcch,royko,[email protected] Abstract High-speed and high-precision tracking control is required for future contouring machine tools. It was known that by preltering the command trajectory in an appropriate way, the conto...

An ef®cient implementation of the Volterra ®lter is presented which uses a frequency domain representation to reduce the number of computations. The multidimensional convolution of the Volterra ®lter is transformed to the frequency domain giving a transformed input matrix which is sparse and obtained directly from a one-dimensional Fourier transform. In addition to the sparse nature of the tran...