Title :
Identifiability of a band-limited system from its cyclostationary output autocorrelation
Author :
Chen, Yuanjie ; Nikias, Chrysostomos L.
Author_Institution :
Rockwell Int. Corp., Newport Beach, CA, USA
fDate :
2/1/1994 12:00:00 AM
Abstract :
It has been established in the literature that a time-limited linear time invariant (LTI) system can be uniquely identified from its cyclostationary output autocorrelation when the input is a sequence of equispaced Dirac delta functions with independent identically distributed (i.i.d.) random amplitudes. The authors show that this is, however, not true for a band-limited system. A necessary and sufficient condition for a band-limited system to be uniquely identified from its cyclostationary output autocorrelation is given
Keywords :
correlation theory; identification; linear systems; signal processing; bandlimited system; cyclostationary output autocorrelation; equispaced Dirac delta functions; independent identically distributed amplitude; linear time invariant system; necessary condition; random amplitudes; sufficient condition; time-limited system; Autocorrelation; Bandwidth; Data communication; Fourier transforms; Frequency response; Image processing; Signal processing; Sufficient conditions; White noise;
Journal_Title :
Signal Processing, IEEE Transactions on
