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Cramer-Rao lower bounds for biased image reconstruction [PDF]
Proceedings of 36th Midwest Symposium on Circuits and Systems, 2002 Since image reconstruction and restoration are ill-posed problems, unbiased estimators often have unacceptably high variance. To reduce the variance, one introduces constraints and smoothness penalties, which yields biased estimators. This bias precludes the use of the classical Cramer-Rao (CR) lower bound for the variance of an unbiased estimator ...
Fessler, Jeffrey A., Hero, Alfred O. III
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Blind SNR estimation based on cyclostationarity
Tongxin xuebao, 2006 Upsampling and shaping filtering introduce the cyclostationarity of transmit signals. Based on the cyclosta-tionary statistics of signals, a blind SNR estimator in AWGN channel was proposed.
HUA Meng, ZHU Jin-kang, GONG Ming
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On the attainment of the Wasserstein--Cramer--Rao lower bound
Information GeometryRecently, a Wasserstein analogue of the Cramer--Rao inequality has been developed using the Wasserstein information matrix (Otto metric). This inequality provides a lower bound on the Wasserstein variance of an estimator, which quantifies its robustness against additive noise.
Nishimori, Hayato, Matsuda, Takeru
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Frequency estimator by combination of phase difference method and interpolation algorithm
Journal of Algorithms & Computational Technology, 2019 In the traditional time-shifting based phase difference method, considerable errors may be introduced by wrapped phase problem as long as translation coefficient tends to one even in a small-scale turbulence noise.
Haitao Xu +4 more
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Cramer-Rao lower bound for cascaded adaptive notch filtering
Electronics Letters, 1987 A minimal parameter infinite-impulse-response (IIR) cascaded adaptive notch filter is presented for the estimation of a single sinusoid embedded in noise. The Cramer-Rao lower bound (CRLB) is derived for the suggested filter which takes into account both the sinusoid and noise components.
Ng, TS, Chicharo, JF
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Valid lower bound for all estimators in quantum parameter estimation
New Journal of Physics, 2016 The widely used quantum Cramér–Rao bound (QCRB) sets a lower bound for the mean square error of unbiased estimators in quantum parameter estimation, however, in general QCRB is only tight in the asymptotical limit.
Jing Liu, Haidong Yuan
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On stability of generalized phase retrieval and generalized affine phase retrieval
Journal of Inequalities and Applications, 2019 In this paper, we consider the stability of intensity measurement mappings corresponding to generalized phase retrieval and generalized affine phase retrieval in the real case. First, we show the bi-Lipschitz property on measurements of noiseless signals.
Zhitao Zhuang
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Electrically Coded Retinomorphic Spectrophotodetector
Advanced Materials, EarlyView.Self‐powered retinomorphic pyro‐photodetector is demonstrated that avoids machine‐learning post‐processing and covers 365–940 nm. Electrostatic balancing of built‐in potential produces an electrical wavelength code, delivering <3 nm wavelength decoding accuracy with ∼46 µs response.
Mohit Kumar, Hyunmin Dang, Hyungtak Seo
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Comparison of estimation limits for quantum two-parameter estimation
Physical Review ResearchMeasurement estimation bounds for local quantum multiparameter estimation, which provide lower bounds on possible measurement uncertainties, have so far been formulated in two ways: by extending the classical Cramér-Rao bound (e.g., the quantum Cramér ...
Simon K. Yung +4 more
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International Journal of Distributed Sensor Networks, 2019 Based on measurements of angle of arrival and time difference of arrival, a method is proposed to improve the accuracy of localization with imperfect sensors. A derivation of the Cramér–Rao lower bound and the root mean square error is presented aimed at
Ruirui Liu +3 more
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