WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF ELECTRONICS AND INFORMATION TECHNOLOGY INSTITUTE OF RADIOELECTRONICS Report No. 12, 2004 A Survey of Properties of Ambiguity Functions of Analytic, Quaternionic and Monogenic Signals
نویسنده
چکیده
The paper investigates the properties of ambiguity functions of 2-D analytic, quaternionic and monogenic signals. In the introduction the notions of the above signals and their Wigner distributions and ambiguity functions are recalled. The properties of the ambiguity functions are investigated using two kinds of test signals: A band-pass test signal in the form of a sum of two harmonic signals with a Gaussian envelope and a low-pass signal in the form of the analytic, quaternionic and monogenic signals with a real part of a Gaussian signal of the same form as the Gaussian 2-D probability density function of correlated random variables.
منابع مشابه
Warsaw University Technology Faculty of Electronics and Information Technology Institute of Radioelectronics
The paper is devoted to the polar representation of n-D complex and hypercomplex analytic signals with emphasis on the 3-dimensional (3-D) case. Their definition is based on the proposed general form of the Cauchy integral. The definitions of complex/hypercomplex signals are presented in signaland frequency domains. The new notion of lower rank signals is introduced. It is shown that starting w...
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