TY - JOUR
T1 - Bounds for Estimation of Multicomponent Signals with Random Amplitude and Deterministic Phase
AU - Francos, Joseph M.
AU - Friedlander, Benjamin
N1 - Funding Information:
Manuscript received July 26, 1993; revised September 13, 1994. This work was supported by the Army Research Office under contract no. DAAL03-91-C-0022 and the U.S. Army Communications Electronics Command, Center for Signals Warfare. The associate editor coordinating the review of this paper and approving it for publication was Prof. Douglas Williams J. M. Francos is with the Department of Electrical and Computer Engineering, Ben-Gurion University. Beer-Sheva, Israel.
PY - 1995/1/1
Y1 - 1995/1/1
N2 - We study a class of nonstationary multicomponent signals, where each component has the form a{t) exp jϕ(t). where a(t) is a random amplitude function, and ϕ{t ) is a deterministic phase function. The amplitude function consists of a stationary Gaussian process and a time varying mean. The phase and the amplitude mean are characterized by a linear parametric model, while the covariance of the amplitude function is parameterized in some general manner. This model encompasses signals that are commonly used in communications, radar, sonar, and other engineering systems. We derive the Cramér-Rao bound (CRB) for the estimates of the amplitude and phase parameters, and of functions of these parameters, such as the instantaneous frequencies of the signal components.
AB - We study a class of nonstationary multicomponent signals, where each component has the form a{t) exp jϕ(t). where a(t) is a random amplitude function, and ϕ{t ) is a deterministic phase function. The amplitude function consists of a stationary Gaussian process and a time varying mean. The phase and the amplitude mean are characterized by a linear parametric model, while the covariance of the amplitude function is parameterized in some general manner. This model encompasses signals that are commonly used in communications, radar, sonar, and other engineering systems. We derive the Cramér-Rao bound (CRB) for the estimates of the amplitude and phase parameters, and of functions of these parameters, such as the instantaneous frequencies of the signal components.
UR - http://www.scopus.com/inward/record.url?scp=0029307646&partnerID=8YFLogxK
U2 - 10.1109/78.382401
DO - 10.1109/78.382401
M3 - Article
AN - SCOPUS:0029307646
SN - 1053-587X
VL - 43
SP - 1161
EP - 1172
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 5
ER -