Considering finite-support signals, it is shown that the ideal sampling process can be described by means of an orthogonal projection within a Sobolev space. This interpretation is shown to account for non-uniform and for non-ideal sampling schemes as well. It further enables one to derive a minimax approximation scheme for an arbitrary linear bounded functional while utilizing the sampled vers...

This paper is a tutorial and survey paper on the Gröbner bases method and some of its applications in signal and image processing. Although all the results presented in the paper are available in the literature, we give an elementary treatment here, in the hope that it will further bring awareness of and stimulate interest in Gröbner bases among researchers in signal and image processing. We gi...

Multidimensional Synchronous Dataflow (MDSDF) [5][2] is a model of computation that has been proposed and implemented for specifying multidimensional multirate signal processing systems such as image and video processing algorithms. The model is an extension of synchronous dataflow (SDF) [4] and has all of the desirable properties of the SDF model such as static schedulability, exposure of data...

This paper considers a system design for processing a multidimensional biomedical signal formed by EEG, ECG, EOG and motion recorded from a newborn, for the purpose of detection of epileptic seizures in newborns as an extension of the method reported in [1, 8]. We describe the proposed design, and discuss how the signals will be analysed and fused to detect the occurrence of seizure. We also di...

Adam Brickman EE381K Multidimensional Signal Processing March 24, 2003 Abstract Watermarking audio files has recently become the focus of much attention. This is primarily due to faster data transmission rates on the Internet, which has allowed the often illegal proliferation of digital audio files. Watermarking may give recording companies the ability to enforce copyright protection of their p...

We de ne and construct a new family of compactly supported, nonseparable two-dimensional wavelets, \biorthogonal quincunx Coifman wavelets" (BQCWs), from their one-dimensional counterparts using the McClellan transformation. The resulting lter banks possess many interesting properties such as perfect reconstruction, vanishing moments, symmetry, diamondshaped passbands, and dyadic fractional lte...

one of the most common signals used for achieving high range resolution in radar is stepped-frequency signals. when a target is stationary in these radars, dft (discrete fourier transform) based processing is used to attain high range resolution profile (hrrp). however, in the case of moving target, due to spreading of the echo signal spectrum, dft based processing is not optimal and decreases ...

The VHDL language is considered to be an important standard among the hardware description tools. Most of the existing loop optimization techniques that consider the parallelism inherent to multi-dimensional problems depend on loop transformations not available in the current VHDL Synthesis products. This study presents a coding technique on modeling multi-dimensional (nested) loops on VHDL, wh...

Although traditional signal-based structural health monitoring algorithms have been successfully employed for small structures, their application for large and complex bridges has been challenging due to non-stationary signal characteristics with a high level of noise. In this paper, a promising damage detection algorithm is proposed by incorporation of adaptive signal processing and Artificial...