DNA, dichotomic classes and frame synchronization: a quasi-crystal framework

DNA, dichotomic classes and frame synchronization: a quasi-crystal framework.

In this article, we show how a new mathematical model of the genetic code can be exploited for investigating the almost periodic properties of DNA and mRNA protein-coding sequences. We present the main mathematical features of the model and highlight its connections with both number theory and group theory. The group theoretic framework presents interesting analogies with the theory of crystals...

Bit and Frame Synchronization Techniques

All graphics in this paper are created by the authors unless otherwise stated. Bit and Frame Synchronization techniques are used in order to ensure that signals transmitted from one participant of the communication can be correctly decoded by the receiver. To achieve this goal, certain timing information must be passed to the receiver such as where communication units begin and end.In this arti...

Optimal Frame Synchronization for . . .

Optimum Frame Synchronization

This paper considers the optimum method for locating a sync word periodically imbedded in binary data and received over the additive white Gaussian noise channel. It is shown that the optimum rule is to select the location that maximizes the sum of the correlation and a correction term. Simulations are reported that show approximately a 3-dB improvement at interesting signal-tonoise ratios comp...

Quasi-Equiangular Frame (QEF) : A New Flexible Configuration of Frame

Frame theory is a powerful tool in the domain of signal processing and communication. Among its numerous configurations, the ones which have drawn much attention recently are Equiangular Tight Frames(ETFs) and Grassmannian Frames. These frames both have optimality in coherence, thus bring robustness and optimal performance in applications such as digital fingerprint, erasure channels, and Compr...