2 research outputs found
Identification of Linear Time-Varying Systems Through Waveform Diversity
Linear, time-varying (LTV) systems composed of time shifts, frequency shifts,
and complex amplitude scalings are operators that act on continuous
finite-energy waveforms. This paper presents a novel, resource-efficient method
for identifying the parametric description of such systems, i.e., the time
shifts, frequency shifts, and scalings, from the sampled response to linear
frequency modulated (LFM) waveforms, with emphasis on the application to radar
processing. If the LTV operator is probed with a sufficiently diverse set of
LFM waveforms, then the system can be identified with high accuracy. In the
case of noiseless measurements, the identification is perfect, while in the
case of noisy measurements, the accuracy is inversely proportional to the noise
level. The use of parametric estimation techniques with recently proposed
denoising algorithms allows the estimation of the parameters with high
accuracy.Comment: Accepted for publication in IEEE Transactions on Signal Processing;
32 pages, 13 figure
Cramer-Rao Lower Bounds of Joint Delay-Doppler Estimation for an Extended Target
The problem on the Cramer-Rao Lower Bounds (CRLBs) for the joint time delay
and Doppler stretch estimation of an extended target is considered in this
paper. The integral representations of the CRLBs for both the time delay and
the Doppler stretch are derived. To facilitate computation and analysis, series
representations and approximations of the CRLBs are introduced. According to
these series representations, the impact of several waveform parameters on the
estimation accuracy is investigated, which reveals that the CRLB of the Doppler
stretch is inversely proportional to the effective time-bandwidth product of
the waveform. This conclusion generalizes a previous result in the narrowband
case. The popular wideband ambiguity function (WBAF) based delay-Doppler
estimator is evaluated and compared with the CRLBs through numerical
experiments. Our results indicate that the WBAF estimator, originally derived
from a single scatterer model, is not suitable for the parameter estimation of
an extended target