A spectral reflectance reconstruction method based on combining PCA and regularized polynomial is proposed to optimize the spectral data and channel response. Firstly, the PCA method is used to reduce the high dimensional spectral data of the training samples. Then, the polynomial expansion for channel response of the sample is carried out to improve the accuracy of spectral reconstruction thro...

Convergence analysis of iterative detectors for narrow-band multiple access is performed by using extrinsic information transfer charts. The system has no bandwidth expansion, so K users are using the same bandwidth as one single user. The load (the number of bits per channel use) of the system is therefore higher than the load in, for example, conventional CDMA systems. The analysis provide us...

We consider the problem of sending two correlated random sources over a Gaussian multiple-access channel. The sources are assumed to be temporally memoryless. The performance criterion is the MSE and we seek linear transceivers that minimize it. When the bandwidth expansion factor is unity, it is shown that uncoded transmission is the best linear code for any SNR. When the bandwidth expansion f...

CLUSTER EXPANSION WITH APPLICATIONS 3 In order to guess the correct form of a, one should consider the left side of the equation above with a(y) ≡ 0. The integral may depend on x; a typical situation is that x is characterized by a length l(x), which is a positive number, so that the left side is roughly proportional to l(x). This suggests to try a(x) = cl(x), and one can then optimize on the v...

3D Electron Microscopy aims at the reconstruction of density volumes corresponding to the mass distribution of macromolecules imaged with an electron microscope. There are many factors limiting the resolution achievable when this technique is applied to biomolecules: microscope transfer function, molecule flexibility, lack of projections from certain directions, unknown angular distribution, im...

In this paper, we present a recursive formula for the moments of phase noise in communication systems. The phase noise is modeled using continuous Brownian motion. The recursion is simple and valid for an arbitrary initial phase value. The moments obtained by the recursion are used to calculate approximations to the probability density function of the phase noise, using orthogonal polynomial se...

This paper reports a new procedure for specifying monochromatic nonradiating ~NR! current distributions ~NR sources! and the electric and magnetic fields they produce ~NR fields!. Vector spherical harmonics and a Fourier–Bessel series are used to derive a new vector spherical-wave expansion for continuous NR fields confined within a spherical volume. The analysis yields complete orthogonal sets...

CLUSTER EXPANSION WITH APPLICATIONS 3 Assumption 2. There exists a nonnegative function a on X such that for almost all x ∈ X, ∫ d|μ|(y) |ζ(x, y)| e 6 a(x). In order to guess the correct form of a, one should consider the left side of the equation above with a(y) ≡ 0. The integral may depend on x; a typical situation is that x is characterized by a length l(x), which is a positive number, so th...

a linear combination of the Poisson-distributed variables, fn. We rewrite the log-likelihood ratio in terms of sn ≡ (A/F0) τν ( e − 1 ) e−n/(τν). Most calculations in this paper rely on taking series approximations in sn and performing the summations to leading order. This approach is valid as long as A < F0, since τν ( e − 1 ) e−n/(τν) is bounded above by 1 for n ≥ 1, and the interval of conve...

Convergence analysis of iterative detectors for narrowband multiple access is performed by using extrinsic information transfer charts. The system has no bandwidth expansion, so K users are using the same bandwidth as one single user. The load (the number of bits per channel use) of the system is therefore higher than the load in, for example, conventional CDMA systems. The analysis provide use...