The performance of the MUSIC estimator is studied by simulations if the estimator is applied for delay estimation of a direct sequence spread spectrum (DS/SS) signal corrupted by multiple access or multipath interference. Special emphasis is on the sensitivity to estimation errors on the dimension of the signal subspace, which case is also analytically investigated. The results show that the MU...

2.1. Detection in the Presence of Noise A simplified block diagram of a radar receiver that employs an envelope detector followed by a threshold decision is shown in Fig. 2.1. The input signal to the receiver is composed of the radar echo signal and additive zero mean white Gaussian noise , with variance . The input noise is assumed to be spatially incoherent and uncorrelated with the signal. T...

The ability to manipulate quantum systems lies at the heart of development technology. ultimate goal control is realize arbitrary operations (AQuOs) for all possible open system dynamics. However, demanding extra physical resources impose great obstacles. Here, we experimentally demonstrate a universal approach AQuO on photonic qudit with minimum resource two-level ancilla and $\log_{2}d$-scale...

A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}$ such that the disk-scaled orbit ${alpha T_n x: nin mathbb{N}, alpha inmathbb{C}, | alpha | leq 1}cap M$ is dense in $M$. The goal of t...

This paper proposes two new algorithms for the direction of arrival (DOA) estimation of P radiating sources. Unlike the classical subspace-based methods, they do not resort to the eigen-decomposition of the covariance matrix of the received data. Indeed, the proposed algorithms involve the building of the signal subspace from the Krylov subspace of order P associated with the covariance matrix ...

This paper concerns the maximum-likelihood channel estimation for MIMO systems with orthogonal space-time block codes when the finite alphabet constraint of the signal constellation is relaxed. We study the estimation subspace for the channel coefficients that this approach generates. We provide an algebraic characterisation of this subspace which turns the optimization problem into a purely al...