Download or read book Reconstruction of Periodic Bandlimited Signals from Nonuniform Samples written by Evgeny Margolis and published by . This book was released on 2004 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Periodic Nonuniform Sampling and Reconstruction of Bandlimited Signals Through Multirate Filter Banks written by Ryan Strong Prendergast and published by . This book was released on 2003 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Investigation of Nonuniform Sampling of Band limited Periodic Signals written by Bernhard Urpo Vainik and published by . This book was released on 1965 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Digital Processing and Reconstruction of Complex Signals written by Predrag B. Petrovic and published by Springer Science & Business Media. This book was released on 2010-03-21 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: In real electronic systems, voltage and current signals are not necessarily of a periodical quantity, due to the presence of nonharmonic components or/and possible stochastic variation. This book presents in three parts methods for analyzing and processing and reconstructing complex signals. The first part of this book is dedicated to the problem of measurements of the basic electric quantities in electric utilities, both from the aspect of accuracy of this type of measurements and the possibilities of simple and practical realization. The second part presents a reconstruction of trigonometric polynomials, a specific class of band-limited signals, from a number of integrated values of input signals. The third part deals with the problem of estimating the value of the active power of the ac signal in the presence of subharmonics and interharmonics. The analysis makes use of the most general model of the voltage and current signal, i.e. the most complex spectral content that can be expected to appear in practice.

Download or read book A Unified Approach to Zero crossings and Nonuniform Sampling of Single and Mul ti dimensional Signals and Systems written by Farokh A. Marvasti and published by . This book was released on 1987 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Two dimensional Nonuniform Sampling Expansions an Iterative Approach written by Paul Leo Butzer and published by . This book was released on 1988 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Signal Reconstruction Algorithms for Time Interleaved ADCs written by Anu Kalidas Muralidharan Pillai and published by Linköping University Electronic Press. This book was released on 2015-05-22 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analog-to-digital converter (ADC) is a key component in many electronic systems. It is used to convert analog signals to the equivalent digital form. The conversion involves sampling which is the process of converting a continuous-time signal to a sequence of discrete-time samples, and quantization in which each sampled value is represented using a finite number of bits. The sampling rate and the effective resolution (number of bits) are two key ADC performance metrics. Today, ADCs form a major bottleneck in many applications like communication systems since it is difficult to simultaneously achieve high sampling rate and high resolution. Among the various ADC architectures, the time-interleaved analog-to-digital converter (TI-ADC) has emerged as a popular choice for achieving very high sampling rates and resolutions. At the principle level, by interleaving the outputs of M identical channel ADCs, a TI-ADC could achieve the same resolution as that of a channel ADC but with M times higher bandwidth. However, in practice, mismatches between the channel ADCs result in a nonuniformly sampled signal at the output of a TI-ADC which reduces the achievable resolution. Often, in TIADC implementations, digital reconstructors are used to recover the uniform-grid samples from the nonuniformly sampled signal at the output of the TI-ADC. Since such reconstructors operate at the TI-ADC output rate, reducing the number of computations required per corrected output sample helps to reduce the power consumed by the TI-ADC. Also, as the mismatch parameters change occasionally, the reconstructor should support online reconfiguration with minimal or no redesign. Further, it is advantageous to have reconstruction schemes that require fewer coefficient updates during reconfiguration. In this thesis, we focus on reducing the design and implementation complexities of nonrecursive finite-length impulse response (FIR) reconstructors. We propose efficient reconstruction schemes for three classes of nonuniformly sampled signals that can occur at the output of TI-ADCs. Firstly, we consider a class of nonuniformly sampled signals that occur as a result of static timing mismatch errors or due to channel mismatches in TI-ADCs. For this type of nonuniformly sampled signals, we propose three reconstructors which utilize a two-rate approach to derive the corresponding single-rate structure. The two-rate based reconstructors move part of the complexity to a symmetric filter and also simplifies the reconstruction problem. The complexity reduction stems from the fact that half of the impulse response coefficients of the symmetric filter are equal to zero and that, compared to the original reconstruction problem, the simplified problem requires only a simpler reconstructor. Next, we consider the class of nonuniformly sampled signals that occur when a TI-ADC is used for sub-Nyquist cyclic nonuniform sampling (CNUS) of sparse multi-band signals. Sub-Nyquist sampling utilizes the sparsities in the analog signal to sample the signal at a lower rate. However, the reduced sampling rate comes at the cost of additional digital signal processing that is needed to reconstruct the uniform-grid sequence from the sub-Nyquist sampled sequence obtained via CNUS. The existing reconstruction scheme is computationally intensive and time consuming and offsets the gains obtained from the reduced sampling rate. Also, in applications where the band locations of the sparse multi-band signal can change from time to time, the reconstructor should support online reconfigurability. Here, we propose a reconstruction scheme that reduces the computational complexity of the reconstructor and at the same time, simplifies the online reconfigurability of the reconstructor. Finally, we consider a class of nonuniformly sampled signals which occur at the output of TI-ADCs that use some of the input sampling instants for sampling a known calibration signal. The samples corresponding to the calibration signal are used for estimating the channel mismatch parameters. In such TI-ADCs, nonuniform sampling is due to the mismatches between the channel ADCs and due to the missing input samples corresponding to the sampling instants reserved for the calibration signal. We propose three reconstruction schemes for such nonuniformly sampled signals and show using design examples that, compared to a previous solution, the proposed schemes require substantially lower computational complexity.

Download or read book Processing Estimation and Measurement of Signals Parameters in Public Distribution Networks written by Predrag Petrović and published by Springer Nature. This book was released on 2023-09-28 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses a relevant field of digital processing and measurement of signals in distribution networks. The importance of the covered topic is evidenced by extensive foreign and domestic professional literature, in the form of publications in leading international journals, and numerous professional and scientific books. For the past two decades, the author has published a number of papers both in international journals and at leading world conferences, further verifying the results he has achieved in this field. It should be noted that he is also the holder of several national patents, which were created precisely as a result of working on the problems of processing complex signals of voltage and current. Readers of this book will be the students of master and doctoral studies both in the country and abroad and experts in the field of signal processing. It is a valuable source for future authors of professional and scientific papers, as a basis on which to start when developing completely new techniques for processing complex signals not only in the power system, but also in other fields of engineering and everyday life.

Download or read book Sampling Theory a Renaissance written by Götz E. Pfander and published by Birkhäuser. This book was released on 2015-12-08 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories. Today, research themes such as Compressed Sensing and Frame Theory re-energize the broad area of Sampling Theory. This volume illustrates the renaissance that the area of Sampling Theory is currently experiencing. It touches upon trendsetting areas such as Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite Rate of Innovation, System Theory, as well as sampling in Geometry and Algebraic Topology.

Download or read book Nonuniform Sampling written by Farokh Marvasti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of nature is often through nonuniform observations in space or time. In space, one normally observes the important features of an object, such as edges. The less important features are interpolated. History is a collection of important events that are nonuniformly spaced in time. Historians infer between events (interpolation) and politicians and stock market analysts forecast the future from past and present events (extrapolation). The 20 chapters of Nonuniform Sampling: Theory and Practice contain contributions by leading researchers in nonuniform and Shannon sampling, zero crossing, and interpolation theory. Its practical applications include NMR, seismology, speech and image coding, modulation and coding, optimal content, array processing, and digital filter design. It has a tutorial outlook for practising engineers and advanced students in science, engineering, and mathematics. It is also a useful reference for scientists and engineers working in the areas of medical imaging, geophysics, astronomy, biomedical engineering, computer graphics, digital filter design, speech and video processing, and phased array radar.

Download or read book On the Reconstruction of Bandlimited Signals from Sampled Values written by Nassar Dastrange and published by . This book was released on 1973 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sampling theorem states that any frequency bandlimited signal can be exactly reconstructed from its sampled values. Different forms of this theorem have been reviewed since 1841 up to the present time. Kramer's generalized sampling theorem has been extended to two dimensions, and the form for higher dimensions can be derived by the same method. Upper bounds for the variations of sampled signals were investigated, and it was shown that tighter bounds can be established. Although the sampling theorem for sequency bandlimited signals was proved by the aid of Kramer's generalized sampling theorem we showed that this theorem can be proved directly or by the method of Shannon's sampling theorem in Fourier analysis. This is in agreement with the result of Campbell, that for some cases Kramer's generalized theorem does not enlarge the class of functions to which sampling theorems can be applied. Because of the recent interest in applications of sampling theorems in discrete and finite Walsh-Fourier analysis we introduced new forms of these theorems and proved them by simple techniques. These results were applied easily for the development of periodic and nonperiodic sampling theorems for two dimensions. Finally, a definition in Haar-Fourier analysis is created, which is analogous to the definition of M-sequency bandlimited signals. Based on this definition several useful theorems are established which show similarities between sampling theorems in Walsh and Haar-Fourier analysis.

Download or read book Periodic Signals Reconstruction of Undersampled written by Anthony Joseph Silva and published by . This book was released on 1986 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under certain conditions, a periodic signal of unknown fundamental frequency can still be recovered when sampled below the Nyquist rate, or twice the highest frequency present in the waveform. A new sampling criterion has been proposed which enumerates such conditions. It has been shown that in theory, if the signal and sampling frequencies are not integrally related, and the signal is band-limited (to a range the extent of which is known but otherwise unrestricted), then the signal waveshape can always be recovered. If the fundamental frequency is known to lie within a range not spanning any multiple of half the sampling rate, then the temporal scaling for the reconstructed waveform can be determined uniquely, as well. Procedures have also been proposed for reducing time-scale ambiguity when the latter condition is not met. A previously presented time domain algorithm for reconstructing aliased periodic signals has been implemented and modified. A new algorithm, operating in the frequency domain, has been proposed and implemented. In the new algorithm, the signal fundamental frequency is first estimated from the discrete Fourier transform of the aliased data through an iterative procedure. This estimate is then used to sort the aliased harmonics.

Download or read book SIGNAL RECONSTRUCTION FROM NONUNIFORM SAMPLES written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Sampling and reconstruction is used as a fundamental signal processing operation since the history of signal theory. Classically uniform sampling is treated so that the resulting mathematics is simple. However there are various instances that nonuniform sampling and reconstruction of signals from their nonuniform samples are required. There exist two broad classes of reconstruction methods. They are the reconstruction according to a deterministic, and according to a stochastic model. In this thesis, the most fundamental aspects of nonuniform sampling and reconstruction, according to a deterministic model, is analyzed, implemented and tested by considering specific nonuniform reconstruction algorithms. Accuracy of reconstruction, computational efficiency and noise stability are the three criteria that nonuniform reconstruction algorithms are tested for. Specifically, four classical closed form interpolation algorithms proposed by Yen are discussed and implemented. These algorithms are tested, according to the proposed criteria, in a variety of conditions in order to identify their performances for reconstruction quality and robustness to noise and signal conditions. Furthermore, a filter bank approach is discussed for the interpolation from nonuniform samples in a computationally efficient manner. This approach is implemented and the efficiency as well as resulting filter characteristics is observed. In addition to Yen's classical algorithms, a trade off algorithm, which claims to find an optimal balance between reconstruction accuracy and noise stability is analyzed and simulated for comparison between all discussed interpolators. At the end of the stability tests, Yen's third algorithm, known as the classical recurrent nonuniform sampling, is found to be superior over the remaining interpolators, from both an accuracy and stability point of view.

Download or read book Sampling Theory written by Yonina C. Eldar and published by Cambridge University Press. This book was released on 2015-04-09 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to sampling for engineers, covering the fundamental mathematical underpinnings together with practical engineering principles and applications.

Download or read book Sampling Approximation and Signal Analysis written by Stephen D. Casey and published by Springer Nature. This book was released on 2024-01-04 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.

Download or read book Academic Press Library in Signal Processing written by Paulo S.R. Diniz and published by Academic Press. This book was released on 2013-09-21 with total page 1559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume, edited and authored by world leading experts, gives a review of the principles, methods and techniques of important and emerging research topics and technologies in machine learning and advanced signal processing theory. With this reference source you will: - Quickly grasp a new area of research - Understand the underlying principles of a topic and its application - Ascertain how a topic relates to other areas and learn of the research issues yet to be resolved - Quick tutorial reviews of important and emerging topics of research in machine learning - Presents core principles in signal processing theory and shows their applications - Reference content on core principles, technologies, algorithms and applications - Comprehensive references to journal articles and other literature on which to build further, more specific and detailed knowledge - Edited by leading people in the field who, through their reputation, have been able to commission experts to write on a particular topic

Download or read book 2000 IEEE International Conference on Acoustics Speech and Signal Processing written by IEEE Signal Processing Society and published by . This book was released on 2000 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: