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Patent Issued for Advanced Synthesized Hysteresis for Signal Processing, Controllers, Music, and Computer Simulations in Physics, Engineering, and...

May 7, 2014



Patent Issued for Advanced Synthesized Hysteresis for Signal Processing, Controllers, Music, and Computer Simulations in Physics, Engineering, and Economics

By a News Reporter-Staff News Editor at Electronics Newsweekly -- Ludwig; Lester F. (San Antonio, TX) has been issued patent number 8706449, according to news reporting originating out of Alexandria, Virginia, by VerticalNews editors.

The patent's inventor is Ludwig, Lester F. (San Antonio, TX).

This patent was filed on July 19, 2011 and was published online on April 22, 2014.

From the background information supplied by the inventors, news correspondents obtained the following quote: "The invention pertains to the synthesis of various types of hysteresis, and in particular the synthesis of hysteresis operations for use in controllers, the synthesis of advanced form of hysteresis, and the advanced synthesized hysteresis for various applications such as signal processing, controllers, music, and computer simulations as may be used in physics, engineering, economics, as well as other areas.

"Hysteresis occurs in many aspects and types of physical processes [A]. In mechanical engineering hysteresis occurs in gears and other mechanical structures. Many types of familiar [B] and newly emergent [C] magnetic materials and devices exhibit various forms of magnetization hysteresis.

"Hysteresis also occurs in other types of physical processes, particularly phase transition processes [D] (including self-organizing criticality) as is well known but also notably in optical processes [E, F], some of which exhibit unusually shaped hysteresis curves [G], as well as friction, fluidics, hydrology, bilogy, and superconditivity.

"Hysteresis also occurs in financial and economic systems (for example, often occurring in modeling the effects of unemployment in an economy) [,H,I,J,K]. In the inventor's own work, hysteresis can occur in economic systems (as well as the abstractions of transaction costs as applied to communications, computers, and manufacturing systems) in responses to or control of transaction costs.

"Many systems and applications include electronic or computer control systems that operate on hysteretic subsystems or processes, and the hysteretic behavior complicates the design and operations of those control systems [L,M]. Many forms of sophisticated optimal control extend into control arrangements that involve hysteresis, as do simple household thermostats. Hysteresis processes also arise in game theory.

"In electronics, hysteresis processes have historically been utilized in noise-rejection circuits (Schmitt triggers) and non-linear oscillators. Electronic transformers and inductors inherently exhibit electrical hysteresis effects due to the natural hysteretic properties of the materials used to make the transformer core. More profoundly, the theoretically predicted (Leon Chua) and recently perfect (Stanley Williams and team) memistor, the 'fourth' passive circuit element [N], exhibits hysteresis processes (including the noteworthy 'pinched' form of hysteresis curve) [O,P]. Hysteresis processes are also employed in the design and operation of certain types of electrical AC-powered synchronous motors used to render stable exact speeds.

"In electronic vacuum-tube electric guitar amplifiers, hysteresis occurs in overdriven vacuum-tube amplifier output transformers due to the natural hysteretic properties of the materials used to make the transformer core and is a component (among many) of overdriven electric guitar vacuum-tube amplifier distortion that has become an essential aspect of contemporary popular music worldwide for many decades.

"Mathematically, hysteresis effects are effectively a type of bifurcation and are closely related to subjects such as catastrophe theory [Q]. Even simple hysteresis models can comprise tremendously extensive and intriguing families of behaviors. The modeling, study, and generalizations of hysteresis phenomena and nonlinear differential equations that possess them has been and remains a deep and interesting area of study, involving sophisticated mathematical techniques, tools, elements, and structures including differential inclusions, linear and nonlinear operator theory, singular perturbations, differential representations, linear and nonlinear spectral theory, topological degree, Poincare maps, cellular and differential automata, nural network representations, fractional calculus and fractional-order integral/differential equations (in modeling, a source of hysteresis, and as a superior type of control system compensator for systems with input hysteresis), and fractal analysis [A,R,S,T,U,V,W,X].

"Set against this background, the present invention provides a number of innovative steps of commercial value to real-time systems, control systems, numerical simulations of system, signal processing, music audio, and other applications.

"In partial relation to the present invention, the inventor has found that more generally hysteresis effects in waveform distortion and waveform shaping processes can create valuable amplitude-varying spectral effects of particular interest in musical sound synthesis and musical signal processing. Further in partial relation to the present invention, the inventor has found that time-variation or modulation of parameters controlling parameterized synthesized hysteresis also create valuable spectral effects.

"Additionally, such parameterized synthesized hysteresis as developed for the above and other applications appear to be valuable as control systems elements and as 'metamodeling' elements within numerical system simulations.

"Further, in that natural hysteresis effects in practice exhibit inherent multiple-input aspects, and often multiple-output aspects, it is useful to further extend the synthesis of hysteresis to encompass the synthesis of vector hysteresis processes."

Supplementing the background information on this patent, VerticalNews reporters also obtained the inventor's summary information for this patent: "For purposes of summarizing, certain aspects, advantages, and novel features are described herein. Not all such advantages may be achieved in accordance with any one particular embodiment. Thus, the disclosed subject matter may be embodied or carried out in a manner that achieves or optimizes one advantage or group of advantages without achieving all advantages as may be taught or suggested herein.

"Features and advantages of the invention will be set forth in the description which follows, and in part will be apparent from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.

"In one aspect of the invention provides a method for synthesis of a hysteresis function of a plurality of inputs, the method comprising: Receiving a plurality of input signals; Processing the plurality of input signals with at least a parameterized multivariable nonlinearity, the parameterized multivariable nonlinearity serving as a parameterized hysteron, to produce at least one output signal; and Processing the plurality of input signals with at least a controller function, the controller function comprising memory and producing at least one control signal responsive to at least one of the plurality of input signals, the at least once control signal for controlling the parameterized hysteron, wherein the at least one control signal is used to control the parameterized hysteron so as to create a hysteretic response to at least one of the plurality of input signals.

"For multi-variable (vector) hysteresis synthesis, the control signals produced by a controller function can accordingly be hysteretic ally responsive to at least one of a plurality of input signals.

"Another aspect invention also provides for a variety of scalar hysteresis synthesis systems and methods, for example employing the further aspects of the invention provided below (as well as elsewhere in the specification). For scalar, the control signals produced by a controller function can accordingly be hysteretically responsive to the input signal.

"In another aspect of the invention the controller function is responsive to at least one extremal value of the amplitude of at least one of the plurality of input signals. In another aspect of the invention the controller function is responsive to at least an integration of the amplitude of at least one of the plurality of input signals. In another aspect of the invention the controller function is responsive to at least one time-derivative of the amplitude of at least one of the plurality of input signals.

"In another aspect of the invention the controller function is responsive to at least one extremal value of the phase of at least one of the plurality of input signals. In another aspect of the invention the controller function is responsive to at least an integration of the phase of at least one of the plurality of input signals. In another aspect of the invention the controller function is responsive to at least one time-derivative of the phase of at least one of the plurality of input signals.

"In another aspect of the invention the controller function is responsive to at least one extremal value of a quantity responsive to the signal spectrum of at least one of the plurality of input signals. In another aspect of the invention the controller function is responsive to at least an integration of a quantity responsive to the signal spectrum of at least one of the plurality of input signals. In another aspect of the invention the controller function is responsive to at least one time-derivative of of a quantity responsive to the signal spectrum of at least one of the plurality of input signals.

"In another aspect of the invention the control signal comprises a single control signal.

"In another aspect of the invention the control signal comprises a plurality of control signals."

For the URL and additional information on this patent, see: Ludwig, Lester F.. Advanced Synthesized Hysteresis for Signal Processing, Controllers, Music, and Computer Simulations in Physics, Engineering, and Economics. U.S. Patent Number 8706449, filed July 19, 2011, and published online on April 22, 2014. Patent URL: http://patft.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=31&u=%2Fnetahtml%2FPTO%2Fsearch-bool.html&r=1532&f=G&l=50&co1=AND&d=PTXT&s1=20140422.PD.&OS=ISD/20140422&RS=ISD/20140422

Keywords for this news article include: Patents, Electronics, Engineering, Signal Processing.

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Source: Electronics Newsweekly


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