Prony filtration of seismic data: theoretical background

Extracting Seismic Profiles from Background Seismic Signals

The idea of obtaining the seismic trace representing the impulse response at one receiver due to a source at another receiver has discussed by many authors. Jon Claerbout (see e.g. Rickett and Claerbout, 1996; Claerbout, web) introduced the concept to seismology. It has been investigated in the laboratory by Lobkis and Weaver (2001), observed in seismic data by Campillio and Paul (2003), and in...

Theoretical Background

Data Fusion-Based Distributed Prony Analysis

This paper presents a distributed Prony analysis algorithm using data fusion approach. This classic approach can be found in Kalman filter’s measurement update. Distributed optimization algorithms, e.g., alternating direction method of multipliers (ADMM), suitable for constrained optimization problems, have been proposed in the previous literature to develop distributed architecture. In this ar...

SmartFolio Theoretical Background

Filtration of respired gases: theoretical aspects.

The filtration of aerosols and the behavior of aerosolized particles are less intuitive and more complex than commonly indicated in the medical literature, but once the basic principles are presented, they are not difficult to understand or apply. Particles with diameters close to the most penetrating particle size are clearly the particles of greatest concern, interest, and value in considerin...