In this correspondence, we investigate two important structural properties of block 2tary PSK modulation codes, namely: linear structure and phase symmetry. For an AWGN channel, the error performance of a modulation code depends on its squared Euclidean distance distribution. Linear structure of a code makes the error performance analysis much easier. Phase symmetry of a code is important in re...

An open problem about the max-norm of the spline orthoprojector is formulated. It gives rise to several conjectures about the orthoprojectors onto some spaces of polynomials. We discuss in this note several open questions concerning the orthogonal projector onto spline spaces. The main advance on the subject has of course been Shadrin’s proof [9] of de Boor’s conjecture [1] that the max-norm of...

A proof is provided of the operational achievability of Rrt by the recursive training scheme in [1], for general wide-sense stationary and ergodic Rayleigh fading processes.

Systems using coherent multilevel PSK to communicate over flat Rayleigh fading channels are considered. We present a closed-form expression for the exact bit error probability (BEP) when the binary reflected Gray code is used to map bits to symbols. The result is a general, simple, and correct expression, which has not been previously available in the literature. A comparison between this new e...

Wireless communication systems are very vulnerable to pilot contamination attacks, which represents a major physical layer security issue. Hence, it is necessary to apply different approaches and methods to the detection of this type of attack. One effective method proposed in the literature is 2-N-PSK pilot detection, which consists of training with two random N-PSK pilots. Although the method...

{ In this, the second part of the paper we analyze a multilevel coded modulation system using PSK signaling and transmitting over the AWGN channel. We reduce the analysis of the overall system to the analysis of each decoding level, considering them as a set of related channels. The concept of a \genie aided communication system" is introduced to simplify the analysis. A comparison with the con...

|This work presents results that show how direct digital synthesis (DDS) techniques can be extended to produce frequency modulated (FM) waveforms as well as many types of digitally modulated waveforms, such as PSK or QAM. We show how digitally modulated wave-forms can be eeciently synthesized from tables of pre-computed samples. This work also reports on the implementation of these algorithms i...

The wireless communication system is a largely used in the present era of communication. The enhancements in the technology to make more reliable end to end connectivity and transfer of information lots of research being executed. The multiple input multiple output (MIMO) technique significantly improve the quality of communication. In this paper a new approach is proposed to make communication...

In this paper, multilevel coded asymmetric modulation with multistage decoding and unequal error protection (UEP) is discussed. These results further emphasize the fact that unconventional signal set partitionings are more promising than traditional (Ungerboeck-type) partitionings, to achieve UEP capabilities with multilevel coding and multistage decoding. Three types of unconventional partitio...

Abs t i-ac t The thc ory o f geometracally unaform (CL') sagnal constellat i ons arid lanear codes over groups is applzed t o the case of mdtadtmensaonal PSK szgnals. T h e tables of GU pnrtations of multidamensaonal PSI( constellataons recently f ound an [l] arc used to construct good GU codes over nonbznary abelann groups ?$'e consader Lx4PSK and LxBPSh' constellaticins used to t ransmi t cnf...