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A survey of properties of ambiguity functions of analytic, quaternionic and monogenic signals

Hahn G.

Image Processing & Communications

2005

Vol. 10, no 1

13-33

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.