Short-reach transmission systems traditionally utilize intensity modulation (IM) at the transmitter and direct detection (DD) receiver due to their cost-effectiveness, small footprint, low power consumption. However, with exponential increase in bandwidth demand, coherent optical communication have become necessary for long-haul distances, requiring application-specific integrated circuits (ASI...

We show that the continuous limit of a wide natural class of the right-invariant discrete Lagrangian systems on the Virasoro group gives the family of integrable PDE’s containing Camassa-Holm, Hunter-Saxton and Korteweg-de Vries equations. This family has been recently derived by Khesin and Misio-lek as Euler equations on the Virasoro algebra for H1 α,βmetrics. Our result demonstrates a univers...

Rules of Crowdsourcing: Models, Issues, and Systems of Control Gregory D. Saxton a , Onook Oh b & Rajiv Kishore c a Department of Communication, College of Arts and Sciences, SUNY at Buffalo, Buffalo, New York, USA b The Center for Collaboration Science, University of Nebraska at Omaha, Omaha, Nebraska, USA c Department of Management Science & Systems, School of Management, SUNY at Buffalo, Buf...

A method for constructing an object support based on K-means clustering of the object-intensity distribution is newly presented in diffractive imaging. This releases the adjustment of unknown parameters in the support construction, and it is well incorporated with the Gerchberg and Saxton diagram. A simple numerical simulation reveals that the proposed method is effective for dynamically constr...

We demonstrate the use of optical pulse-shaping technique in conjunction with difference frequency generation in a non-linear optoelectronic crystal for generating synthesized waveforms at terahertz frequencies. Spectral phase modulations, programmed using Gerchberg-Saxton algorithm and prepared in a spatial light Fourier filter, produce tailored terahertz pulses, including chirped pulses, zero...

The Papoulis-Gerchberg algorithm has been extensively used to solve the missing data problem in band-limited signals. The interpolation of low-pass signals with this algorithm can be done if the signal bandwidth is known. In practice, the signal bandwidth is unknown and has to be estimated by the user, preventing an automatic application of the Papoulis-Gerchberg algorithm. In this paper, we pr...

The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equations on the group of diffeomorphisms, preserving the H and Ḣ right-invariant metrics correspondingly. There is an analogy to the Euler equations in hydrodynamics, which describe geodesic flow for a right-invariant metric on the infinitedimensional group of diffeomorphisms preserving the volume el...