Title :
Reconstruction of mixed-phase signals from sum-of-autotriplecorrelations using least squares
Author :
Akgil, T. ; El-Jaroudi, Amro
Author_Institution :
Dept. of Electr. & Electron. Eng., Cukurova Univ., Adana, Turkey
fDate :
1/1/1998 12:00:00 AM
Abstract :
A least squares minimization technique for the reconstruction of a real, discrete-time signal from a sum-of-autotriplecorrelations (SOA) sequence is presented. Compared with other methods, our approach has many advantages. First, the reconstruction is based on simple one-dimensional (1-D), instead of two-dimensional (2-D), time-domain operations. Moreover, unlike some current methods, it is possible to perform the reconstruction even if the z transform of the signal has roots on the unit circle. We present the derivation of the approach and simulation results
Keywords :
Z transforms; correlation methods; discrete time systems; higher order statistics; least squares approximations; poles and zeros; sequences; signal reconstruction; spectral analysis; time-domain analysis; 1D time-domain operations; higher order statistics; least squares minimization; mixed-phase signals reconstruction; real discrete-time signal; roots; simulation results; sum-of-autotriplecorrelations sequence; unit circle; z transform; Additive noise; Fourier transforms; Gaussian noise; Least squares methods; Parameter estimation; Semiconductor optical amplifiers; Signal processing algorithms; Signal reconstruction; System identification; Two dimensional displays;
Journal_Title :
Signal Processing, IEEE Transactions on
