By Stergios Stergiopoulos
Advances in electronic sign processing algorithms and computing device expertise have mixed to supply real-time platforms with features 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, even though, they lack the robustness of traditional algorithms. The problem continues to be to increase an idea that exploits some great benefits of both-a scheme that integrates those equipment in useful, real-time systems.
The complex sign Processing instruction manual is helping you meet that problem. past providing an excellent advent to the rules and functions of complex sign processing, it develops a usual processing constitution that takes good thing about the similarities that exist between radar, sonar, and clinical imaging structures and integrates traditional and nonlinear processing schemes
Read or Download Advanced signal processing handbook : theory and implementation for radar, sonar, and medical imaging real time systems PDF
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Additional info for Advanced signal processing handbook : theory and implementation for radar, sonar, and medical imaging real time systems
The important virtue of complex adaptive filters is that they preserve the mathematical formulation and elegant structure of complex signals encountered in the aforementioned areas of application. If the signals to be processed are real, we naturally use the real form of the adaptive filtering algorithm of interest. Given the complex form of an adaptive filtering algorithm, it is straightforward to deduce the corresponding real form of the algorithm. Specifically, we do two things: 1. The operation of complex conjugation, wherever in the algorithm, is simply removed.
The role of each multiplier in the filter is to multiply the tap input, to which it is connected by a filter coefficient referred to as a tap weight. Thus, a multiplier connected * to the kth tap input u(n – k) produces the scalar version of the inner product, w k u(n – k), where wk is the respective tap weight and k = 0, 1, …, M – 1. The asterisk denotes complex conjugation, which assumes that the tap inputs and, therefore, the tap weights are all complex valued. The combined role of the adders in the filter is to sum the individual multiplier outputs and produce an overall filter output.
8. D. 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.