The Wavelet Digest Homepage
Return to the homepage
Search the complete Wavelet Digest database
Help about the Wavelet Digest mailing list
About the Wavelet Digest
The Digest The Community
 Latest Issue  Back Issues  Events  Gallery
The Wavelet Digest
   -> Volume 5, Issue 2

Preprints: Physical wavelets and radar
images/spacer.gifimages/spacer.gif Reply into Digest
Previous :: Next  
Author Message
Gerald Kaiser (

PostPosted: Wed Dec 04, 2002 9:49 am    
Subject: Preprints: Physical wavelets and radar
Reply with quote

Preprints: Physical wavelets and radar


To appear in IEEE Antennas and Propagation Magazine

Author: Gerald Kaiser, University of Massachusetts at Lowell

ABSTRACT: This is a tutorial paper in which the idea of radar
ambiguity functions is generalized to the context of "physical
wavelets." A time signal psi(t) is fed into a small transmitter
following an arbitrary (known) trajectory a(t) in space. The resulting
electromagnetic wavelet is reflected from an object following an
arbitrary (unknown) trajectory b(t), and the reflected wave is finally
received by an receiver following an arbitrary (known) trajectory
c(t). This results in a received time signal chi(t). The objective is
to estimate the unknown trajectory b(t) from a knowledge of the
transmitted signal psi(t), the received signal chi(t), and the known
trajectories a(t) and c(t) of the transmitter and the receiver. This
problem is solved by maximizing the AMBIGUITY FUNCTIONAL, which
generalizes the usual radar ambiguity functions (both wideband and
narrowband). When all three trajectories are assumed to be linear and
c(t)=a(t), so that the radar is monostatic, then the above ambiguity
functional reduces to the usual wideband ambiguity function, which is
just the wavelet transform of chi(t) with respect to psi(t) as the
basic wavelet. When psi(t) is assumed to be narrowband, this further
reduces to the narrowband ambiguity function, which is just the
windowed Fourier transform of the VIDEO SIGNAL of chi(t) with respect
to the basic window represented by the video signal of psi(t).
All times are GMT + 1 Hour
Page 1 of 1

Jump to: 

disclaimer -
Powered by phpBB

This page was created in 0.025578 seconds : 18 queries executed : GZIP compression disabled