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This paper presents a near-optimum, low-complexity, fixed-interval smoothing algorithm that approaches the performance of an optimal smoother for the price of two low-complexity sequential estimators (two PLLs). The proposed Smoothing PLL (S-PLL) algorithm is easy to implement and fits the Cramer-Rao bounds over a wide range of signal-to-noise ratios. Moreover we show that, compared to the conventional...
In this paper, we present a closed-form expression of a Bayesian Cramer-Rao lower bound for the estimation of a dynamical phase offset for a random BPSK sequence in an AWGN channel. The received symbols are disturbed by carrier phase offset which follows a Wiener model. Considering a received observation sequence, we provide a first analytical expression of the Bayesian CRB. Then, we derive an asymptote-based...
This paper studies the problem of tracking a Brownian phase with linear drift observed to within one digital modulation and one additive white Gaussian noise. This problem is of great importance as it models the problem of carrier synchronization in digital communications. The ultimate performances achievable for this problem are evaluated and are compared to the performances of three solutions of...
The authors deal with the use of higher-order time-frequency distributions for the detection of transient signals. They show that a recent method is linked to those objects and also related to information measures. They then propose an heuristic method to detect transients. This method uses a new adaptive estimator of the fourth-order cumulant that they study in details, before presenting simulations...
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