From: utzoo!decvax!pur-ee!malcolm Newsgroups: net.math Title: Interpolation of Complex Numbers - (nf) Article-I.D.: pur-ee.524 Posted: Mon Sep 6 01:26:49 1982 Received: Mon Sep 6 06:34:54 1982 #N:pur-ee:6600005:000:1109 pur-ee!malcolm Sep 5 14:08:00 1982 I had excellent luck the last time I submitted one of my research problems to the network, so I am going to try again. Part of the problem is that I am not sure the best way to pose the problem....please bear with me. If anybody has seen a problem of this type or knows of any references. I am doing work on Ultrasonic Diffraction Tomagraphy and we have to interpolate complex numbers. The actual interpolation is easy and is well described by a number of books. The problem is do we represent the complex numbers in rectangular form or in polar form. Consider the numbers 0+j1 and 0-j1. In rectangular form this averages to 0, while in polar form they become mag=1, phase=90 and mag=1, phase=-90 and they average to +1. The results are quite different. Since we are using the interpolation to supply numbers for an FFT algorithm my inclination is to say that the rectangular form should be used. I can't even begin to justify my choice though. How about it net-land??? Does anybody have any ideas?? Malcolm Slaney Purdue EE Dept. {decvax,harpo,ihnss,ucbvax} !pur-ee!malcolm