IEEE Xplore - Login

Cart | Sitemap | Help

Login


	BROWSE	SEARCH	IEEE XPLORE GUIDE	SUPPORT


Article Information

Hypercomplex signals-a novel extension of the analytic signal tothe multidimensional case Bulow, T.; Sommer, G. Signal Processing, IEEE Transactions on Volume 49, Issue 11, Nov 2001 Page(s):2844 - 2852 Digital Object Identifier 10.1109/78.960432 Summary:The construction of Gabor's (1946) complex signal-which is also known as the analytic signal-provides direct access to a real one-dimensional (1-D) signal's local amplitude and phase. The complex signal is built from a real signal by adding its Hilbert transform-which is a phase-shifted version of the signal-as an imaginary part to the signal. Since its introduction, the complex signal has become an important tool in signal processing, with applications, for example, in narrowband communication. Different approaches to an n-D analytic or complex signal have been proposed in the past. We review these approaches and propose the hypercomplex signal as a novel extension of the complex signal to n-D. This extension leads to a new definition of local phase, which reveals information on the intrinsic dimensionality of the signal. The different approaches are unified by expressing all of them as combinations of the signal and its partial and total Hilbert transforms. Examples that clarify how the approaches differ in their definitions of local phase and amplitude are shown. An example is provided for the two-dimensional (2-D) hypercomplex signal, which shows how the novel phase concept can be used in texture segmentation » View citation and abstract



IEEE Members

Log in by entering your IEEE Web Account Username and Password. IEEE Communications Society members: If you subscribe to the IEEE Electronic Periodicals Package or IEEE Electronic Periodicals Package Plus, you must access your subscription at www.comsoc.org.



Users at Subscribing Institutions

Check with your librarian, information professional, or system manager to determine if you need to log in. Please complete the online Technical Support Form if you need assistance.



Already Purchased This Article?

Select the Purchase History link to access the document. You will have 5 Days after purchase to access the Full Text PDF. Please complete the online Technical Support Form if you need assistance.



Guests

• Search and access Abstract records free of charge • Register for table of contents alerts • Purchase Full Text PDF documents » Learn more about subscription options or how to become an IEEE Member.

You are not logged in.

Username

Password

» Forgot your password?

Please remember to log out when you have finished your session.

You must log in to access:
• Advanced or Author Search
• CrossRef Search
• AbstractPlus Records
• Full Text PDF
• Full Text HTML

Access this document

» Buy this document now

» Learn more about

subscription options

» Learn more about

purchasing articles

and standards

Learn more about IEEE Subscriptions

Help Contact Us Privacy & Security IEEE.org