In linear system identification, optimal excitation signals can be determined using the Cramer-Rao bound. This problem has not been thoroughly studied for the nonlinear case. In this work, the Cramer-Rao bound for a factorisable Volterra model is derived. The analytical result is supported with simulation examples. The bound is then used to find the optimal excitation signal out of the class of...

A clock synchronization scheme is crucial for obtaining accuracy in time-based positioning systems. Existing clock synchronization schemes are mostly based on a simplified linear clock model, which unfortunately have a poor long-term synchronization accuracy. Assuming a two-way time transfer protocol, we propose a novel clock synchronization algorithm based on a precise physical clock model to ...

A new symbol timing estimator for generalized MSK signals is proposed. It is based on the squaring algorithm and has a feedforward structure. The proposed timing estimator is fully-digital and is suitable for implementation in software radios. The performance in AWGN channel is compared with the Modified Cramer-Rao bound and that of the ML algorithm. The proposed timing estimator is found to ha...

This work uses the second order statistics of the signal received by a CDMA mobile to determine what proportion of that signal consists of in-cell interference and what proportion is out-of-cell interference plus thermal noise. A least-squares estimator is derived and compared to the Cramer-Rao Lower Bound. The interference estimates are incorporated into the CDMA mobile channel decoder in orde...

Time-of-arrival localisation is a technique common to a variety of sensors and scenarios, including multistatic radar. In this paper a single target localisation algorithm is presented that meets the Cramer-Rao lower bound. The issues that arise when there are multiple targets are discussed and an algorithm is introduced that successfully performs multiple target localisation. This algorithm us...

This paper is concerned with the question of reconstructing a vector in a finitedimensional complex Hilbert space when only the magnitudes of the coefficients of the vector under a redundant linear map are known. We present new invertibility results as well as an iterative algorithm that finds the least-square solution which is robust in the presence of noise. We analyze its numerical performan...

In this correspondence, a random field model based on moving average (MA) time-series model is proposed for modeling stochastic and structured textures. A frequency domain algorithm to synthesize MA textures is developed, and maximum likelihood estimators are derived. The Cramer-Rao lower bound is also derived for measuring the estimator accuracy. The estimation algorithm is applied to real tex...