Morphological Processing of Complex Signals – An Extension of Mathematical Morphology to AC Signals

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Authors
  1. Rivest, J-F.
Corporate Authors
Defence R&D Canada - Ottawa, Ottawa ONT (CAN)
Abstract
This report presents an extension of Mathematical Morphology to complex signals. This extension is done by modifying the order relationship upon which all the morphological operators are based. This extension of Mathematical Morphology is essential if one wishes to use the methods of MM to process complex signals, such as communication and radar signals that feature an in-phase and an in-quadrature component. All the basic operators such as dilations, erosions, openings and closings are developed in this report. The concept of geodesy on complex signals is explored in detail, along with the morphological approach to segmentation. The complex watershed transformation is also developed. These transformations are illustrated on complex test signals, radar signals, Fast Fourier Transforms and complex spectrograms. Because of the proposed order relationship, the umbra of a complex signal is radically diérent from the umbra of a gray-tone function. Therefore, the implementation of measurements is also diérent from the classical measurements performed on gray- tone images. This is illustrated with an example: granulometry and pattern spectrum on a chirped radar signal.

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Report Number
DRDC-OTTAWA-TR-2006-004 — Technical Report
Date of publication
01 Jan 2006
Number of Pages
82
DSTKIM No
CA027392
CANDIS No
525478
Format(s):
Electronic Document(PDF)

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