Conservative Signal Processing Architectures For Asynchronous, Distributed Optimization Part II: Example Systems

This paper provides examples of various synchronous and asynchronous signal processing systems for performing optimization, utilizing the framework and elements developed in a preceding paper. The general strategy in that paper was to perform a linear transformation of stationarity conditions applicable to a class of convex and nonconvex optimization problems, resulting in algorithms that operate on a linear superposition of the associated primal and dual decision variables. The examples in this paper address various specific optimization problems including the LASSO problem, minimax-optimal filter design, the decentralized training of a support vector machine classifier, and sparse filter design for acoustic equalization. Where appropriate, multiple algorithms for solving the same optimization problem are presented, illustrating the use of the underlying framework in designing a variety of distinct classes of algorithms. The examples are accompanied by numerical simulation and a discussion of convergence

Conservation in signal processing systems

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2012.Cataloged from PDF version of thesis.Includes bibliographical references (p. 205-209).Conservation principles have played a key role in the development and analysis of many existing engineering systems and algorithms. In electrical network theory for example, many of the useful theorems regarding the stability, robustness, and variational properties of circuits can be derived in terms of Tellegen's theorem, which states that a wide range of quantities, including power, are conserved. Conservation principles also lay the groundwork for a number of results related to control theory, algorithms for optimization, and efficient filter implementations, suggesting potential opportunity in developing a cohesive signal processing framework within which to view these principles. This thesis makes progress toward that goal, providing a unified treatment of a class of conservation principles that occur in signal processing systems. The main contributions in the thesis can be broadly categorized as pertaining to a mathematical formulation of a class of conservation principles, the synthesis and identification of these principles in signal processing systems, a variational interpretation of these principles, and the use of these principles in designing and gaining insight into various algorithms. In illustrating the use of the framework, examples related to linear and nonlinear signal-flow graph analysis, robust filter architectures, and algorithms for distributed control are provided.by Thomas A. Baran.Ph.D

Design and implementation of discrete-time filters for efficient sampling rate conversion

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2007.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Includes bibliographical references (p. 63-64).Rate-conversion systems are used in an array of applications, including the oversampled audio and video CODECs often found in entertainment and communications systems. It is common practice for many such systems to sample signals at rates which are much faster than the minimum required to represent some bandwidth of interest, and high-quality filters are often implemented at this fast rate. Therefore, their designs tend to be computationally expensive. A number of structures have been proposed to address this, including polyphase implementations and folded structures for linear-phase FIR filters. In this thesis, techniques which combine benefits from both classes of structures are discussed, and an efficient class of structures is proposed. The Generalized Transposition Theorem is also reviewed to demonstrate that an efficient downsampling structure also implies an equally efficient, closely-related upsampling structure. Techniques are investigated for designing minimum multiply filters for the class of structures presented, and methods are discussed for designing filters that, for a given set of frequency domain filter specifications, often require fewer multipliers and have smaller maximum error than Parks-McClellan designs.by Thomas A. Baran.S.M

Effect of isovector-scalar meson on neutron star matter in strong magnetic fields

We study the effects of isovector-scalar meson $\delta$ on the equation of state (EOS) of neutron star matter in strong magnetic fields. The EOS of neutron-star matter and nucleon effective masses are calculated in the framework of Lagrangian field theory, which is solved within the mean-field approximation. From the numerical results one can find that the $\delta$-field leads to a remarkable splitting of proton and neutron effective masses. The strength of $\delta$-field decreases with the increasing of the magnetic field and is little at ultrastrong field. The proton effective mass is highly influenced by magnetic fields, while the effect of magnetic fields on the neutron effective mass is negligible. The EOS turns out to be stiffer at $B < 10^{15}$G but becomes softer at stronger magnetic field after including the $\delta$-field. The AMM terms can affect the system merely at ultrastrong magnetic field($B > 10^{19}$G). In the range of $10^{15}$ G -- $10^{18}$ G the properties of neutron-star matter are found to be similar with those without magnetic fields.Comment: 26 pages, 9 figure

Overnight Atmospheric Transport and Chemical Processing of Photochemically Aged Houston Urban and Petrochemical Industrial Plume

Overnight atmospheric transport and chemical evolution of photochemically aged Houston urban and petrochemical industrial plume were investigated in July 2005. We report here on the 26 July episode in which the aged plume was tagged 1.5 h before sunset with a pair of free-floating controlled meteorological balloons, which guided quasi-Lagrangian aircraft sampling in the plume as it was advected 300 km to the north over 8 h. The aged plume around sunset was well mixed within a 1600 m residual layer, and was characterized by enhanced levels of aerosol, O3, CO, olefins, acetaldehyde, total odd nitrogen compounds (NOy), and relatively small amounts (\u3c1 \u3eppbv) of NO x. The plume experienced appreciable shearing overnight due to the development of a low-altitude nocturnal jet between 300 and 500 m above mean sea level (MSL). However, the plume above 600 m MSL remained largely undiluted even after 8 h of transport due to lack of turbulent mixing above the jet. About 40-60% of the NOx present in the aged plume around sunset was found to be depleted over this 8 h period. A constrained plume modeling analysis of the quasi-Lagrangian aircraft observations suggested that by dawn this NO x was converted to nitric acid, organic nitrates, and peroxy acyl nitrates via reactions of NO3 radicals with enhanced levels of olefins and aldehydes in the plume. Sensitivity of NOx depletion to heterogeneous hydrolysis of N2O5 on aerosols was examined. These results have significant implications for the impacts of urban and industrial pollution on far downwind regions

Fast Ionic Conductivity in the Most Lithium-Rich Phosphidosilicate Li14SiP6.

Solid electrolytes with superionic conductivity are required as a main component for all-solid-state batteries. Here we present a novel solid electrolyte with three-dimensional conducting pathways based on "lithium-rich" phosphidosilicates with ionic conductivity of σ > 10-3 S cm-1 at room temperature and activation energy of 30-32 kJ mol-1 expanding the recently introduced family of lithium phosphidotetrelates. Aiming toward higher lithium ion conductivities, systematic investigations of lithium phosphidosilicates gave access to the so far lithium-richest compound within this class of materials. The crystalline material (space group Fm3m), which shows reversible thermal phase transitions, can be readily obtained by ball mill synthesis from the elements followed by moderate thermal treatment of the mixture. Lithium diffusion pathways via both tetrahedral and octahedral voids are analyzed by temperature-dependent powder neutron diffraction measurements in combination with maximum entropy method and DFT calculations. Moreover, the lithium ion mobility structurally indicated by a disordered Li/Si occupancy in the tetrahedral voids plus partially filled octahedral voids is studied by temperature-dependent impedance and 7Li NMR spectroscopy