The Damped and Delayed Sinusoidal (DDS) model is suitable for modeling compactly short time events (as the audio transient for instance). This property is closely related to its ability to reduce the time-support of each sinusoidal component. In this work, we derive an analytical and numerical conditional CRB for this model. In particular, we show that this model has, in general and at least, s...

A closed-form algorithm, named “concerto”, is proposed for phase-based distance estimation in multi-frequency phase unwrapping (MFPU) system. The concerto method consists of three coherent estimation stages,i.e., initial modified BW estimation, residual error estimation and LS estimation , each of which has a closed-form expression and cooperates closely with each other like a concerto. Due to ...

The problem of estimating the propagation-delay of a desired signal in the presence of interferences and multipath propagation is addressed. This paper presents the maximum likelihood (ML) propagation-delay estimator for a signal arriving at a sensor array. The novel characteristic herein is that the desired signal impinges on the array with a known steering vector. This fact allows to assume a...

In most situations the best estimator of a function of the parameter exists, but sometimes it has a complex form and we cannot compute its variance explicitly. Therefore, a lower bound for the variance of an estimator is one of the fundamentals in the estimation theory, because it gives us an idea about the accuracy of an estimator. It is well-known in statistical inference that the Cram&eac...

We measured the attenuation of signal strength for Telosclass motes between 25 °C to 65 °C, with a maximum loss of 8 dB at 65 °C. A linear model for the combined reduction of the transmit power and receiver sensitivity is presented, which suggests significant impact on the transmission range and network services. Path loss and link budget analysis indicate a communication range reduction of up ...

The problem of frequency estimation of a single sinusoid observed in colored noise is addressed. Our estimator is based on the operation of the sinusoidal digital phase-locked loop (SDPLL) which carries the frequency information in its phase error after the noisy sinusoid has been acquired by the SDPLL. We show by computer simulations that this frequency estimator beats the Cramer-Rao bound (CR...

This paper presents a performance analysis of Maximum Likelihood (ML) Direction-Of-Arrival (DOA) estimation using sensor arrays for the case of a single source in white Gaussian noise. Particular attention is paid to the threshold effect that is common in nonlinear estimation. The paper presents approximations to the probability of outlier and Mean Square estimation Error (MSE) of the ML estima...

In this paper, we investigate an expectation-maximization (EM) maximum likelihood (ML) algorithm of direction finding (DF) for bistatic multiple-input multiple-output (MIMO) radar, where it is shown that the DF problem can be described as a special case of ML estimation with incomplete data. First, we introduce the signal and the noise models, and derive the ML estimations of the direction para...

Self-configuration in wireless sensor networks is a general class of estimation problems that we study via the Cramér–Rao bound (CRB). Specifically, we consider sensor location estimation when sensors measure received signal strength (RSS) or time-of-arrival (TOA) between themselves and neighboring sensors. A small fraction of sensors in the network have a known location, whereas the remaining ...

The problem of direction-of-arrival (DOA) estimation by using spectral search for a non-uniform planar array is addressed. New search methods for DOA estimation based on piecewise interpolation are proposed. The relationships between these methods and Fourier-Domain (FD) root-MUSIC are discussed. The proposed methods are based on dividing the multiple signal classification (MUSIC) null-spectrum...