J. O. Coleman


TITLE:
The Fundamental Input/Output Structure of a Linear, Time-Varying Array Receiver
AUTHORS:
J. O. Coleman
ABSTRACT:
A single-output array receiver based on static antenna elements of arbitrary geometry that drive linear, time-invariant signal processing is well known to be fully characterized by a frequency response dependent on direction-of-arrival (DOA). This paper develops the generalized characterization that results when the time-invariance requirement is removed. The special case based on periodically varying signal processing is further derived and shows such a system to be fundamentally, structurally incapable of realizing a long-sought goal in navigation engineering: a frequency shift smoothly dependent on DOA. Self-contained developments of time-varying continuous-time linear systems and of a 4D Fourier-transform view of propagating electromagnetic waves are given in the appendices.
DOWNLOADABLE PREPRINT:
PDF (143 Kbytes),
STATUS:
Presented to the 2010 IEEE International Symposium on Phased Array Systems & Technology, Boston MA, USA, Oct. 12-15, 2010.
DATE OF ENTRY:
October 2010.