Modeling multipath fading responses using multitone probing signals and polynomial approximation
Abstract
It is shown that highly accurate modeling of multipath fading responses is possible using loworder complex polynomials. This applies to all terrestrial radio systems in the channelized common carrier bands below 15 GHz, where channel widths are 40 MHz or less. The context of the study is a new multipath experiment being conducted in New Jersey over a 23mile path at 11 GHz. The transmitted signal consists of up to nine tones in a 40MHz bandwidth. The signal processing and data reduction methods are described and analyzed to assess the accuracy of polynomial fitting. The analysis uses a meansquare error measure and assumes a representative form for the underlying response function. The results predict that the vast majority of multipath fading responses can be accurately approximated over bandwidths of 40 (62) MHz using first (second) order complex polynomials.
 Publication:

AT T Technical Journal
 Pub Date:
 February 1981
 Bibcode:
 1981ATTTJ..60..193G
 Keywords:

 Mathematical Models;
 Microwave Transmission;
 Multipath Transmission;
 Polynomials;
 Signal Fading;
 Signal Processing;
 Approximation;
 Bandwidth;
 Computerized Simulation;
 Curve Fitting;
 Data Reduction;
 Error Analysis;
 RootMeanSquare Errors;
 Communications and Radar