Download or read book Detection of Random Signals in Dependent Gaussian Noise written by Antonio F. Gualtierotti and published by Springer. This book was released on 2015-12-15 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the necessary mathematical basis to obtain and rigorously use likelihoods for detection problems with Gaussian noise. To facilitate comprehension the text is divided into three broad areas – reproducing kernel Hilbert spaces, Cramér-Hida representations and stochastic calculus – for which a somewhat different approach was used than in their usual stand-alone context. One main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberation-limited environment. Nonetheless, the general problems dealt with in the text also provide a useful framework for discussing other current research areas, such as wavelet decompositions, neural networks, and higher order spectral analysis. The structure of the book, with the exposition presenting as many details as necessary, was chosen to serve both those readers who are chiefly interested in the results and those who want to learn the material from scratch. Hence, the text will be useful for graduate students and researchers alike in the fields of engineering, mathematics and statistics.
Download or read book Advanced Theory of Signal Detection written by Iickho Song and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a number of problems with signal detection theory, presenting a generalized observation model for signal detection problems. The model includes several interesting and common special cases, such as those describing additive noise, multiplicative noise and signal-dependent noise.
Download or read book Operating Characteristics for Maximum Likelihood Detection of Signals in Gaussian Noise of Unknown Level III Random Signals of Unknown Level written by Albert H. Nuttall and published by . This book was released on 1974 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The detection and false alarm probabilities for maximum likelihood detection of two classes of random signals in stationary Gaussian noise, where the signal and noise levels are unknown, are derived. The two classes are Gaussian signals and deterministic signals of unknown phase with slow fading on each of M potential-signal branches. For the Gaussian signals and the deterministic signals with independent Rayleigh envelope fading on each of the M branches, the performances are identical, and extensive numerical results are presented. For more general signal fading, the detection probability is presented as a finite sum of hypergeometric functions that can be easily evaluated with computer aid; however, no numerical results are given for this more general situation. (Author).
Download or read book Introduction to Random Signals and Noise written by Wim C. Van Etten and published by John Wiley & Sons. This book was released on 2006-02-03 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random signals and noise are present in many engineering systems and networks. Signal processing techniques allow engineers to distinguish between useful signals in audio, video or communication equipment, and interference, which disturbs the desired signal. With a strong mathematical grounding, this text provides a clear introduction to the fundamentals of stochastic processes and their practical applications to random signals and noise. With worked examples, problems, and detailed appendices, Introduction to Random Signals and Noise gives the reader the knowledge to design optimum systems for effectively coping with unwanted signals. Key features: Considers a wide range of signals and noise, including analogue, discrete-time and bandpass signals in both time and frequency domains. Analyses the basics of digital signal detection using matched filtering, signal space representation and correlation receiver. Examines optimal filtering methods and their consequences. Presents a detailed discussion of the topic of Poisson processes and shot noise. An excellent resource for professional engineers developing communication systems, semiconductor devices, and audio and video equipment, this book is also ideal for senior undergraduate and graduate students in Electronic and Electrical Engineering.
Download or read book Detection Performance of Signals in Dependent Noise From a Gaussian Mixture Uncertainty Class written by and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detection performance in terms of probabilities of detection and false alarm (PD and PF) is derived for a desired signal embedded in dependent (correlated) multivariate noise from a Gaussian mixture uncertainty class. This uncertainty class is defined using upper and lower bounding functions on the univariate Gaussian mixing distribution function. For a given detector operating point, expressions for PD and PF are derived. In addition, nontrivial lower and upper bounds of performance are derived which are functions of the bounding functions of the uncertainty class, the detection threshold, and the desired signal strength (only for PD).
Download or read book Detection of Known Signals in Colored Gaussian Noise written by Stanford University. Stanford Electronics Laboratories and published by . This book was released on 1965 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most common method of studying the detection of known signals in colored (nonwhite) Gaussian noise is by means of the Karhunen-Loeve (K-L) expansion. The use of the K-L expansion provides some elegant results, but it also introduces certain complications. These arise because the K-L expansion is an infinite series and therefore there are questions of convergence, interchange of the orders of integration, etc. The resolution of these problems is difficult and leads to conditions for the existence of detectors whose physical meaning is unclear. We shall present a method of reducing the detection problems to a finite-dimensional form where no convergence problems arise. The resulting simplicity provides more direct derivations and more physical insights into many earlier results and has also suggested some new ones. (Author).
Download or read book The Detection of Signals in Non Gaussian Noise written by Norman Solat and published by . This book was released on 1964 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Problem of Optimal Signal Detection in Discrete Time Correlated Non Gaussian Noise written by K. J. Sangston and published by . This book was released on 1989 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results of the detection of signals in discrete-time correlated, non-Gaussian noise in which the univariate statistics and a general covariance structure of the noise are known have been obtained. the results are predicted on the assumption that a solution to the signal detection problem based on knowledge of univariate statistics and a convariance structure is 'reasonable, ' even though it is known that in general a non-Gaussian noise process is not completely specified by such information. to examine this issue of 'reasonableness, ' we present two general non-Gaussian noise models that are equivalent in these assumed attributes and yet lead to fundamentally different detection structures. This difference in the detection structures indicate the signal detection problem is not adequately formulated without additional knowledge of the structure of the non-Gaussian noise process. We further present a specific radar example to quantify the difference in the detection structures. (rh).
Download or read book Signal Detection in Generalized Gaussian Noise written by Brajesh Kumar and published by . This book was released on 1986 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Signal Detection in Non Gaussian Noise written by Saleem A. Kassam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a unified treatment of a class of problems of signal detection theory. This is the detection of signals in addi tive noise which is not required to have Gaussian probability den sity functions in its statistical description. For the most part the material developed here can be classified as belonging to the gen eral body of results of parametric theory. Thus the probability density functions of the observations are assumed to be known, at least to within a finite number of unknown parameters in a known functional form. Of course the focus is on noise which is not Gaussian; results for Gaussian noise in the problems treated here become special cases. The contents also form a bridge between the classical results of signal detection in Gaussian noise and those of nonparametric and robust signal detection, which are not con sidered in this book. Three canonical problems of signal detection in additive noise are covered here. These allow between them formulation of a range of specific detection problems arising in applications such as radar and sonar, binary signaling, and pattern recognition and classification. The simplest to state and perhaps the most widely studied of all is the problem of detecting a completely known deterministic signal in noise. Also considered here is the detection random non-deterministic signal in noise. Both of these situa of a tions may arise for observation processes of the low-pass type and also for processes of the band-pass type.
Download or read book A Method of Producing Multiple Non correlated Random Signals from a Single Gaussian Noise Source written by P. I. P. Boulton and published by . This book was released on 1961 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book SINULAR PROBLEMS IN THE DETECTION OF SIGNALS IN GAUSSIAN NOISE written by William L. Root and published by . This book was released on 1962 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Detection of Known Signals in Nonstationary Gaussian Noise written by R. H. Prager and published by . This book was released on 1966 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Detection of Signals in Non Gaussian Noise written by D. L. Clark and published by . This book was released on 1959 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Robustness Measures for Signal Detection in Non stationary Noise Using Differential Geometric Tools written by Guillaume Julien Raux and published by . This book was released on 2006 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: We then move on to compare the effect on robustness for signal detection between non-Gaussian tail effects and residual dependency. The work focuses on robustness as applied to tail effects for the noise distribution, affecting discrete-time detection of signals in independent non-stationary noise. This approach makes use of the extension to the generalized Gaussian case allowing the comparison in robustness between the Gaussian and Laplacian PDF. The obtained results are contrasted with the influence of dependency on robustness for a fixed tail category and draws consequences on residual dependency versus tail uncertainty.
Download or read book A Theoretical Investigation of a Method for Analyzing Random Signals written by D. S. Friday and published by . This book was released on 1975 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: The zero crossings of random noise can be divided into two types, corresponding to the forward and backward rotation of a complex vector whose real and imaginary parts are the noise signal and its Hilbert transform. The statistics of the two kinds of crossing are being investigated to see how well a detection system, based upon measurements of the two kinds of crossings, can determine the presence of a non random signal in a Gaussian noise environment. A formula for the probability that the vector is rotating backwards at any fixed line had previously been used. A rigorous derivation of a more general version of this formula has now been obtained.
Download or read book Signal Detection in Non Gaussian Noise Environments written by Pankaj Srivastava and published by . This book was released on 1991 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
