The Schwartz Inequality is used to derive the Barankin lower bounds on the covariance matrix of unbiased estimates of a vector parameter, The bound is applied to communications and radar problems in which the unknown parameter is imbedded in a signal of known form and observed in the presence of additive white Gaussian noise. Within this context it is shown that the Barankin bound reduces to th...

In this paper, parameter estimation of linear frequency modulation (LFM) signals containing additive white Gaussian noise is studied. Because the center an LFM signal affected by error propagation effect, resulting in a higher to ratio (SNR) threshold, method for based on time reversal proposed. The proposed avoids SNR loss process estimating frequency, thus reducing threshold. simulation resul...

We establish upper and lower bounds on the distortion bit-cost function for incremental firstorder Σ∆ ADC with constant input signal U that is uniformly distributed on (0, 1) and additive white Gaussian (AWG) input noise. It is shown, under mild conditions, that the mean squared-error distortion D scales with the number of index bits m roughly as 1/m. This is in sharp contrast to the 1/m scalin...

PURPOSE To develop a framework to fully characterize quantitative magnetization transfer indices in the human cervical cord in vivo within a clinically feasible time. METHODS A dedicated spinal cord imaging protocol for quantitative magnetization transfer was developed using a reduced field-of-view approach with echo planar imaging (EPI) readout. Sequence parameters were optimized based in th...

In this paper, new methodology – direct approach – for the determination of the attainable CR type bound of the pure state model, is proposed and successfully applied to the wide variety of pure state models, for example, the 2-dimensional arbitrary model, the coherent model with arbitrary dimension. When the weight matrix is SLD Fisher information, the bound is determined for arbitrary pure st...

Abstract This paper proposes an object location method for all types of applications, including the Internet Things. The proposed enables estimations position and orientation on a plane or in space, especially during motion, by means signals transmitted simultaneously from two transmitters placed at known distance each other. A mathematical analysis Newton’s algorithm solving system no...

In the above-mentioned paper a Cramer-Rao bound was derived for the performance of a blind channel estimation algorithm. In this paper an error in the bound is pointed out and corrected. It is observed here that the performance of the said algorithm does not achieve the Cramer-Rao bound. In the above paper [1], important work has been done to analyze the algorithm in [2] which solves a blind ch...

This contribution considers the Cramer-Rao bound (CRB) related to the joint estimation of the carrier phase and frequency of a noisy linearly modulated signal with random data symbols, using the correct continuous-time model of the received signal. We compare our results with the existing results obtained from a (commonly used) simplified discrete-time model of the matched filter output samples...

Traditional stepped frequency chirp pulse train methods suffer from high sidelobes and ambiguous peaks, known as grating lobes and difficulty in compensating Doppler effect caused by target motion. This paper investigates a class of non-linear stepped frequency chirp pulse train with low sidelobes and capability to cancel clutter and to compensate motion. We present analytic expression for its ...

In this paper, we present the true Cramér–Rao lower bounds (CRLBs) for the estimation of phase offset for common quadrature amplitude modulation (QAM), PSK, and PAM signals in AWGN channels. It is shown that the same analysis also applies to the QAM, PSK, and PAM CRLBs for frequency offset estimation. The ratio of the modulated to the unmodulated CRLBs is derived for all QAM, PSK, and PAM signa...