It is known that at high signal to noise ratio (SNR), or for large coherence interval (T ), a constellations of unitary matrices can achieve the capacity of the non-coherent multiple-antenna system in block Rayleigh flat-fading channel. For a single transmit antenna system, a unitary constellation is simply a collection of T -dimensional unit vectors. Nevertheless, except for a few special case...

We address in this paper the performance analysis of 16 and 64-QAM signal constellations in Euclidean space and the {15, 3} and {63, 3} signal constellations in hyperbolic space. In order to perform the analysis we derive the probability density function of the gaussian noise in one and two dimensional hyperbolic spaces. From this, we determine the probability of error of each one of the previo...

In this letter, we show how to compute optimal constellations which maximize the capacity of M -PAM input AWGN (MIAWGN) channels with non-equiprobable symbols. We find for binary signaling that the optimal constellations, which minimize the bit error rate, will also maximize the capacity. The rate capacity of MIAWGN channels with non-equiprobable symbols and optimal constellations approaches to...

We consider the problem of digital communication in a Rayleigh flat-fading environment using a multiple-antenna system, when the channel state information is available neither at the transmitter nor at the receiver. It is known that at high SNR, or when the coherence interval is much larger than the number of transmit antennas, a constellation of unitary matrices can achieve the capacity of the...

In this project, I applied several well-known ideas developed in the computer vision field to problems in protein structure matching. Shape indexing and generalized Hough transforms are classical ideas and have been applied to protein structure matching before (eg, [1, 11, 14]). However, I am using a different representation of protein shape and different matching criteria, which yield results ...

Constellations are asymmetric generalisations of categories. Although they not required to possess a notion range, many natural examples do. These include commonly occurring constellations related concrete categories (since model surjective morphisms), and also others arising from quite different sources, including well-studied classes semigroups . We show how with well-behaved range operation ...