An approach to designing multidimensional linear-phase FIR diamond subband filters having the perfect reconstruction property is presented. It based on a transformation of variables technique and equivalent generalized McClellan transformation. Methods for whole class are given. The consists two parts; design 1-D filters. use Lagrange halfband discussed. modification particular filter which gives pair simple that almost similar each other in their frequency characteristics but still form...

Objective To investigate the utility and accuracy of radial-aortic arterial transfer functions for derivation central blood pressure waveforms. Design Prospective measurement peripheral waveforms in patients undergoing coronary angiography or percutaneous intervention. Methods Simultaneous invasive aortic non-invasive radial were recorded 78 subjects (61 male : 17 female). Data applied to a single-input/single-output model calculation function (TF). Individual TFs derived by two methods...

Arterial transfer functions have been promoted for the derivation of central aortic waveform characteristics not usually accessible noninvasively, but possibly prognostic significance. The utility generalized rather than gender-specific has assessed. Invasive and noninvasive radial (Millar Mikro-tip tonometer) blood pressure waveforms were recorded simultaneously in 78 subjects (61 male 17 female). Average obtained whole group each gender by two methods. Reverse transformation was performed...

Arterial transfer functions (TFs) describe the relationship between pressure waveform at different arterial sites. Generalized TFs are used to reconstruct central aortic waveforms from non-invasively obtained peripheral and have been promoted as potentially clinically useful. A limitation is paucity of information on their 'generalizability' with no existing number subjects required construct a satisfactory TF, nor adequate prospective validation available. We therefore investigated...

The processing of signal on graphs is becoming an important emerging area that has great potential in a wide variety applications, e.g. social network. work by Narang and Ortega (2012) laid the framework for critically sampled orthogonal two-channel filter bank undirected bipartite graphs. design method presented does not allow tailoring filters spectral response control reconstruction error bank. This present to based Bernstein polynomial approximation constrained optimization. allows...

The processing of data defined on irregular discrete domains, i.e., graph signals, is becoming an emerging area with great application potential. Using spectral theory, Narang and Ortega (2013) laid the framework for two channel filter banks critical sampling bipartite signals. bank can be extended to any arbitrary using notion separable filtering. design biorthogonal by based factorization a maximally flat polynomial. technique does not allow much control response filters, resulting in...

Graph Signal Processing (GSP) leverages pair-wise relationship between nodes of a graph to formulate operators on signals defined over the nodes. Most existing signal in literature are linear, and can be described by linear transformation matrices. Recently, works emerging that consider time correlation signals, leading time-vertex processing. By exploiting joint correlations across topology time, better results obtained. In this brief, we propose median operator will leverage correlation,...

The objective of this study was to investigate the determinants aortic pressure waveform morphology in thoracoabdominal aorta with specific reference features potential prognostic value for cardiovascular disease. In particular, we aimed determine location major wave reflection sites within aorta. Aortic waveforms were acquired 2-Fr Millar Mikro-tip catheter transducers 40 subjects (26 men, 14 women), and repeated 10 subjects, at five predetermined points aorta: root, transverse arch, levels...

Graph signal processing (GSP) is a field that deals with data residing on irregular domains, i.e. graph signals. In this field, the filter bank one of most important developments, owing to its ability provide multiresolution analysis However, current research focuses static The does not exploit temporal correlations time-varying signals in real-world applications, such as wireless sensor networks. paper, theory and design joint time-vertex nonsubsampled are developed, using generalized...

Many wavelet filters found in the literature have irrational coefficients and thus require infinite precision implementation. One of most popular filter pairs is "9/7" biorthogonal pair Cohen, Daubechies Feauveau (1992), which adopted FBI finger-print compression standard. We present a technique to rationalize that will preserve biorthogonality perfect reconstruction. Furthermore, zeros at z=-1 also be preserved. These are important for achieving regularity. The rationalized characteristics...

In this paper, we propose a fast watermarking system that works on the H.264/AVC motion vectors. By restricting access to DCT coefficients and pixel information, computational complexity of watermark embedder/extractor is kept low much lower than H.264 decoder. The error propagation due prediction compensation monitored its effect limited by tracking method based solely information from bitstream. Although work focuses standard, novel technique also applicable MPEG1-2 MPEG4 video standards

Most wavelet filters reported in the literature have irrational coefficients. Hardware implementation can be simpler if filter coefficients are rational valued. In this paper, we present novel methods to rationalize both orthogonal and biorthogonal with perfect reconstruction vanishing moments preservation. Rational obtained using lattice structures. complementary technique which one set of is expressed terms other. The rationalized characteristics that very close original filters....

A technique for denoising signals defined over graphs was recently proposed by Chen et al. (2014). The is based on a regularisation framework and achieved solving an optimisation problem. Matrix inversion required approximate solution that avoids directly calculating the inverse, using graph filter, technique, however, requires eigendecomposition resulting filter degree high. In this study, authors propose computationally efficient least squares approximation of eigenvalues inverse. They...

The recovery of missing samples from available noisy measurements is a fundamental problem in signal processing. This process also sometimes known as graph inpainting, reconstruction, forecasting or inference. Many the existing algorithms do not scale well with size and/or they cannot be implemented efficiently distributed manner. In this paper, we develop efficient for time-varying signals. priori assumptions are that smooth respect to topology and correlative across time. These can...

Graph filter banks play a crucial role in the vertex and spectral representation of graph signals.The notion twochannel nonsubsampled (NSGFBs) on an undirected was introduced recently.The absence downsampling/upsampling operators allows greater flexibility design NSGFBs that achieve perfect reconstruction.However take response into account has not been adequately addressed yet.Based polynomial/rational lifting scheme, this letter presents simple method to with good...

An orthonormal Hilbert-pair consists of a pair conjugate-quadrature-filter (CQF) banks such that the equivalent wavelet function both are approximate Hilbert transforms each other. We found celebrated wavelets Daubechies, which have maximum vanishing-moment (VM), cannot be used to construct good Hilbert-pairs. In this letter, we reduce number VM by one and with almost VM. Each time-reverse versions other, individual least asymmetric type (i.e., linear phase CQF)

A new approach is presented for designing the recently introduced class of triplet halfband filterbank which are defined by three kernels. The Parametric Bernstein Polynomial used to construct filterbanks have advantage structural perfect reconstruction and regularity. design free parameters achieved through a least squares method. novel iterative procedure employed optimize objective function multiquadratic parameters. technique flexible in that it allows filters with different...

The work by Narang and Ortega ["Perfect reconstruction two-channel wavelet filter banks for graph structured data," IEEE Trans. Signal Process., vol. 60, no. 6, pp. 2786-2799, Jun. 2012], ["Compact support biorthogonal filterbanks arbitrary undirected graphs," 61, 19, 4673-4685, Oct. 2013] laid the foundations critically sampled perfect bank signals defined on graphs. This basic is applicable only to bipartite graphs but using notion of separable filtering, can be applied any In this paper,...