مرکز منطقه ای اطلاع رساني علوم و فناوري - Effect of record length on the correlation of complex exponentials

DocumentCode :

3062065

Title :

Effect of record length on the correlation of complex exponentials

Author :

Sarkar, T. ; Nebat, J. ; Weiner, D. ; Jain, V.

Author_Institution :

Rochester Institute of Technology, Rochester, New York

Volume :

fYear :

1983

fDate :

14-16 April 1983

Firstpage :

1092

Lastpage :

1094

Abstract :

Resolution of two sinusoidal signals of frequencies f1and f2requires a time record of length at least $1/|f_{1}-f_{2}|$ . Resolution of two decaying exponentials of complex frequencies s1= σ1+jω1and s2= σ2+jω2, with $\\sigma _{2} \\leq \\sigma _{1}$ , by correlation coefficient is independent of the ratios σ2/σ1, and (ω1- ω2)/σ1for a time record of length greater than $3/|\\sigma _{1}|$ . This is also the condition for near-orthogonalization of a set of complex exponentials, with small error.