Advanced signal processing handbook: theory and by Stergios Stergiopoulos

By Stergios Stergiopoulos

Advances in electronic sign processing algorithms and desktop expertise have mixed to supply real-time platforms with services a long way past these of simply few years in the past. Nonlinear, adaptive equipment for sign processing have emerged to supply larger array achieve functionality, although, they lack the robustness of traditional algorithms. The problem is still to strengthen an idea that exploits the benefits of both-a scheme that integrates those tools in functional, real-time systems.The complicated sign Processing guide is helping you meet that problem. past supplying a very good advent to the foundations and purposes of complex sign processing, it develops a commonly used processing constitution that takes good thing about the similarities that exist between radar, sonar, and scientific imaging platforms and integrates traditional and nonlinear processing schemes.

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By contrast, the LMS algorithm is an O(M) algorithm, in that its computational complexity increases linearly with M. When M is large, the computational complexity of O(M2) algorithms may become objectionable from a hardware implementation point of view. There is therefore a strong motivation to modify the formulation of the RLS algorithm in such a way that the computational complexity assumes an O(M) form. This objective is indeed achievable, in the case of temporal processing, first by virtue of the inherent redundancy in the Toeplitz structure of the input data matrix and second by exploiting this redundancy through the use of linear least-squares prediction in both the forward and backward directions.

C. Kak, Ultrasonic Diffraction Imaging, TR-EE 82–80, Department of Electrical Engineering, Purdue University, West Lafayette, IN, August 1982. 9. W. Flax and M. O’Donnell, Phase-aberration correction using signals from point reflectors and diffuse scatterers: basic principles, IEEE Trans. Ultrasonics, Ferroelectrics Frequency Control, 35(6), 758–767, 1988. 10. C. S. D. E. Trahey, A comparative evaluation of several algorithms for phase aberration correction, IEEE Trans. Ultrasonics, Ferroelectrics Frequency Control, 41(5), 631–643, 1994.

Hatzinakos, Blind image deconvolution, Signal Processing Magazine, 13, 43–64, May 1996. 40. , Chelmsford, MA, 1998. 41. S. Stergiopoulos, R. Alterson, D. Havelock, and J. Grodski, Acoustic Tomography Methods for 3D Imaging of Shallow Buried Objects, 139th Meeting of the Acoustical Society of America, Atlanta, GA, May 2000. 1 The Filtering Problem The term “filter” is often used to describe a device in the form of a piece of physical hardware or software that is applied to a set of noisy data in order to extract information about a prescribed quantity of interest.

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