We introduce the MIR task of segmenting melodies into phrases, summarise the musicological and psychological background to the task and review existing computational methods before presenting a new model, IDyOM, for melodic segmentation... more
We present a method for the evaluation of creative systems. We deploy a learning-based perceptual model of musical melodic listening in the generation of tonal melodies and evaluate its output quantitatively and objectively, using human... more
Let T be the genealogical tree of a supercritical multitype Galton-Watson process, and let be the limit set of T, i.e., the set of all infinite self-avoiding paths (called ends) through T that begin at a vertex of the first generation.... more
Let T be the genealogical tree of a supercritical multitype Galton-Watson process, and let be the limit set of T, i.e., the set of all infinite self-avoiding paths (called ends) through T that begin at a vertex of the first generation.... more
We investigate a new framework for the problem of blind source identification in multichannel signal processing. Inspired by a neurophysiological data environment, where an array of closely spaced recording electrodes is surrounded by... more
Although the orthonormal discrete wavelet transform o ers the advantage of computation e ciency, it is generally not shift-invariant thereby yielding di erent transform coe cient values when applied to the same signal with di erent time... more
This paper deals with the treatment of the uneven sampled data characteristic of high sampling rate roundness measurements on scanning coordinate measuring machines. Simulations using the sampling pattern presented by these machines and... more
Katsevich reconstruction algorithm represents a breakthrough for helical cone-beam computed tomography (CT) reconstruction, because it is the first exact cone-beam reconstruction algorithm of filtered backprojection (FBP) type with 1-D... more
A novel technique for estimating system parameters based on consistent output estimate in wavelet domain is proposed as an alternative solution to the classical least squares minimization problem, in this paper. The algorithm is... more
Two variants of the SIFT algorithm are presented which operate on calibrated central projection wide-angle images characterised as having extreme radial distortion. Both define the scale-space kernel, termed the spherical Gaussian, as the... more
Starting with the traditional spectrum estimation technique, a new iterative nonparametric algorithm is developed. In each iteration of the algorithm, the effect of the previous spectral estimate is removed from the original signal by... more
We study parabolic iterated function systems (IFS) with overlaps on the real line. An ergodic shift-invariant measure with positive entropy on the symbolic space induces an invariant measure on the limit set of the IFS. The Hausdorff... more
We establish the volume conjecture for (m, 2)-cables of the figure 8 knot, when m is odd. For (m, 2)-cables of general knots where m is even, we show that the limit in the volume conjecture depends on the parity of the color (of the... more
In this paper, the properties Of the recently Proposed B-distribution are investigated. We show that this distribution satisfies most of the desirable properties sought for a time-frequency distribution. Quadratic (also known as Cohen's)... more
Two desirable properties of a signal norm to be used for the purpose of optimal control or fault detection are highlighted. These properties are shift-invariance and the permitting of persistent signals. A class of norms, called the... more
This paper presents a new implementation of the YAST algorithm for principal and minor subspace tracking. YAST was initially derived from the Subspace Projection (SP) algorithm by C.E. Davila, which was known for its exceptional... more
Pattern recognition with a digital holographic microscope working in partially coherent illumination
We describe the implementation of the automatic spatial-frequency-selection filter for recognition of patterns obtained with a digital holographic microscope working with a partially coherent source. The microscope provides the... more
How do neurons in a decision circuit integrate time-varying signals, in favor of or against alternative choice options? To address this question, we used a recurrent neural circuit model to simulate an experiment in which monkeys... more
This paper addresses the problem of estimating the shape parameters of seismic wavefields in linear array for the separation of waves by exploiting the diversity of the polarization state and propagation velocity between wavefields. We... more
This paper presents a multiscale texture classifier that exploits the Gabor-like properties of the dual-tree complex wavelet transform, shift invariance and 6 directional subbands at each scale, and uses a feature vector comprising of a... more
Executive Summary This report presents detailed information on the effort to develop acoustic sensing technologies for natural gas pipe line monitoring. It starts with a historical evolution of the project and ends with the current... more
S u m m a r y. This paper presents an efficient image registration technique using the Q-shift complex wavelet transform (Q-shift CWT). It is chosen for its key advantages compared to other wavelet transforms; such as shift invariance,... more
Support Vector Domain Description (SVDD) is one of the best-known one-class support vector learning methods, in which one tries the strategy of using balls defined on the feature space in order to distinguish a set of normal data from all... more
Mass spectrometry is becoming an important tool in biological sciences. Tissue samples or easily obtained biological fluids (serum, plasma, urine) are analysed by a variety of mass spectrometry methods, producing spectra characterized by... more
Breast cancer is the second leading cause of cancer deaths for women. Mammography is the most effective technology presently available for breast cancer screening, despite the fact that there are still some limitations of the imaging... more
In this paper the margin of stability for a 2-D discrete system is considered. The definition of the margin of stability for the 1-D case is extended to the 2-D case in terms of analytic regions of rational functions in two variables. The... more
Recently, there has been a huge interest in multiresolution representations that also perform a multidirectional analysis. The Shearlet transform provides both a multiresolution analysis (such as the wavelet transform), and at the same... more
Volume holographic correlators offer the ability to encode and compare thousands of templates in one operation. Angle multiplexing of each individual template means the position of the correlation spot in the output plane corresponds to... more
A novel cone-beam reconstruction method was proposed in 1985. The first objective of the work reported here is to implement this reconstruction method. The second objective is to compare it with the method developed by Feldkamp et al.... more
We provide an analysis of the algorithms necessary for the optimal use of multidimensional signal reconstruction from multichannel acquisition. Firstly, we provide computable conditions to test the matrix invertibility and propose... more
Let p be a positive integer not less than 2. It is shown that a necessary condition for the generalized Fermat type functional equation p j=1 a j (z)f j kj (z) ≡ 1 having non-constant meromorphic solutions f 1 , f 2 ,. .. , f p is p j=1 1... more
Let p be a positive integer not less than 2. It is shown that a necessary condition for the generalized Fermat type functional equation p j=1 a j (z)f j kj (z) ≡ 1 having non-constant meromorphic solutions f 1 , f 2 ,. .. , f p is p j=1 1... more
In the paper we discuss the Borel exceptional value of a transcendental meromorphic function and its relation with Picard and Nevanlinna exceptional values.
Most signal processing systems are based on discrete-time signals although the origin of many sources of information is analog. In this work we consider the task of signal representation by a set of basis functions. Presently, without... more
Similar to non-negative matrix factorization (NMF), complex matrix factorization (CMF) can be used to decompose a given music recording into individual sound sources. In contrast to NMF, CMF models both the magnitude and phase of a... more
Non-negative Matrix Factorisation (NMF) is a commonly used tool in many musical signal processing tasks, including Automatic Music Transcription (AMT). However unsupervised NMF is seen to be problematic in this context, and harmonically... more
It is shown that for every primitive recursive sequence [m i ] i=0 of positive integers, there is an ackermannic sequence [n i ] i=0 of positive integers such that for every partition of the product > i=0 n i into two Borel pieces, there... more
We describe a canonical form for continuous functions : [N] ∞ → [N] ∞ that commute with the shift map X → X\{min X}. Then we investigate in which cases such a function satisfies that for every A ∈ [N] ∞ , there is X ∈ [N] ∞ such that [X]... more
Shear Horizontal (SH) guided waves have been extensively used to estimate and detect defects in structures like plates and pipes. Depending on the frequency and plate thickness, more than one guided-wave mode propagates, which renders... more
The Undecimated Wavelet Transform is commonly used for signal processing due to its advantages over other wavelet techniques, but it is limited for some applications because of its computational cost. One of the methods utilised for the... more
In this article, we characterize reducing and invariant subspaces of the space of square integrable functions defined in the unit circle and having values in some Hardy space with multiplicity. We consider subspaces that reduce the... more
k-space based reconstruction in parallel imaging depends on the reconstruction kernel setting, including its support. An optimal choice of the kernel depends on the calibration data, coil geometry, and signal-to-noise ratio as well as the... more
Image blur and noise are difficult to avoid in many situations and can often ruin a photograph. We present a novel image deconvolution algorithm that deblurs and denoises an image given a known shift-invariant blur kernel. Our algorithm... more
This paper proposes two architectures of 2-D discrete wavelet transform (DWT) and inverse DWT (IDWT). The first high-efficiency architecture comprises a transform module, an address sequencer, and a RAM module. The transform module has... more
This paper presents an efficient texture synthesis based on wavelet packet tree (TSWPT). It has the advantage of using a multiresolution representation with a greater diversity of bases functions for the nonlinear time series applications... more
Wavelet packet transform known as a substantial extension of wavelet transform has drawn a lot of attention to visual applications. In this paper, we advocate using adaptive wavelet packet transform for texture synthesis. The adaptive... more
We investigate the active control of synchronization dynamics in a shift-invariant ring of N mutually coupled self-sustained electrical systems. Using the master stability function approach, we derive the regime of coupling parameters... more