Method, apparatus and system for rendering an information bearing function of time

Abstract

An embodiment of the present invention is directed to a method for partitioning an energy or power source. The energy source may be, for example, a battery or batteries or other power supply or power supplies for an electronic device, such as a cell phone, or mobile device. The energy source (battery for example), or power supply, provides power to a cell phone, or mobile device or any other load or power consuming device. Partitioning this energy source is a technique for controlling its operation so that power is provided to the power consuming device, such as a cell phone more efficiently, thereby extending the length of time the phone can be used between re-charging.

What is claimed is: 
     
         1 . A method for partitioning an energy source or power source comprising:
 identifying one or more energy sources or power sources, each energy source or power source having one or more corresponding waveform sample regions;   identifying one or more associated waveform statistics that are associated with the one or more energy sources or power sources; and   partitioning at least one of the energy sources or power sources into one or more partitions,   wherein the number of partitions and the one or more associated waveform statistics are a function of a desired resolution for an information bearing function of time with a desired efficiency.   
     
     
         2 . The method as claimed in  claim 1 , wherein the number of partitions is based on statistics of a desired information bearing function of time. 
     
     
         3 . The method as claimed in  claim 1 , wherein the information bearing function of time is a signal. 
     
     
         4 . The method as claimed in  claim 3 , wherein the signal is a modulated carrier signal. 
     
     
         5 . The method as claimed in  claim 3 , wherein the signal includes information. 
     
     
         6 . The method as claimed in  claim 3 , wherein the signal has an entropy value from zero to a maximum value, wherein the maximum value depends on one or more degrees of freedom. 
     
     
         7 . The method as claimed in  claim 6 , wherein the degrees of freedom may be manipulated by changing an impedance or impedances. 
     
     
         8 . The method as claimed in  claim 6 , wherein degrees of freedom may be manipulated by changing a rate or rates of charge. 
     
     
         9 . The method as claimed in  1 , wherein m the number of inputs and n the number of outputs may assume any independent integer values greater than or equal to 1. 
     
     
         10 . The method as claimed in  claim 1 , further comprising:
 optimizing the desired efficiency,   wherein the optimizing step is based on instantaneous efficiency {hacek over (η)} and/or average waveform efficiency η WF.     
     
     
         11 . The method as claimed in  claim 1 , wherein the function of the desired resolution is: i≦2 k  where:
 i=number of partitions; and 
 k=desired resolution for rendering the information bearing function of time. 
 
     
     
         12 . The method as claimed in  claim 1 , further comprising:
 determining one or more rendering parameters of a particular partition based on one or more auxiliary degrees of freedom.   
     
     
         13 . The method as claimed in  claim 12 , wherein the rendering parameters include one or more of an function of amplitude, function of phase or function of frequency, or a combination thereof. 
     
     
         14 . The method as claimed in  claim 1 , wherein the energy source or power source delivers energy or power via an energy differential or power differential. 
     
     
         15 . The method as claimed in  claim 1 , further comprising:
 deriving an energy source or power source differential from a voltage, a current, an electromagnetic field, differential voltage, differential current, or differential electromagnetic field or any combination thereof.   
     
     
         16 . The method as claimed in  claim 1 , further comprising: utilizing a plurality of energy sources or power sources in the partitioning step. 
     
     
         17 . The method as claimed in  claim 1 , wherein each of the one or more energy sources or power sources includes a plurality of domains. 
     
     
         18 . The method as claimed in  claim 1 , wherein the energy source or power source is either a fixed energy/power source or a variable energy/power source. 
     
     
         19 . The method as claimed in  claim 1 , further comprising:
 defining a voltage domain as a function of V ξ −V ξ−1 =ΔV i  where ξ is a suitable integer.   
     
     
         20 . The method as claimed in  claim 19 , wherein the voltage domain is fixed. 
     
     
         21 . The method as claimed in  claim 19 , wherein the voltage domain is adjustable over a range of ΔV i , or a multiplicity thereof. 
     
     
         22 . The method as claimed in  claim 1 , further comprising:
 constructing a complex signal envelope based on at least a portion of apriori system information.   
     
     
         23 . The method as claimed in  claim 22 , further comprising:
 parsing at least a portion of the system information to form one or more than one H v,i (x) domains.   
     
     
         24 . The method as claimed in  claim 23 , further comprising adjusting a quantity v i  based on H v,i (x) formula where v is an index for supplemental blended controls for one or more degrees of freedom. 
     
     
         25 . The method as claimed in  claim 24 , further comprising generating a blended control function {tilde over (ℑ)}{H(x) v,i } where v=1, 2, 3 . . . , using {H v,i (x)} l  domains, where l=1, 2, 3 . . . . 
     
     
         26 . The method as claimed in  claim 23 , further comprising:
 processing H(x) using a plurality of parallel paths.   
     
     
         27 . The method as claimed in  claim 25 , wherein the blended control function includes at least partial cross-correlations with related domains and/or between differing control paths. 
     
     
         28 . The method as claimed in  claim 25 , wherein the blended control function is independent of cross-correlation with related domains and/or between differing control paths. 
     
     
         29 . The method as claimed in  claim 1 , further comprising:
 determining one or more cross-correlations between portions of domains, or functions of domains;   generating one or more blended controls based on the determining step.   
     
     
         30 . The method as claimed in  claim 29 , further comprising:
 approximating a statistical dependence for the cross-correlations; and   creating a composite statistic from the blended controls.   
     
     
         31 . The method of  claim 1 , further comprising:
 establishing one or more processing paths associated with the partitioning step   
     
     
         32 . The method as claimed in  claim 31 , further comprising utilizing a parameter to align and/or coordinate the processing paths. 
     
     
         33 . The method as claimed in  claim 32 , wherein the parameter is independent of the energy source or power source. 
     
     
         34 . The method as claimed in  claim 32 , wherein the parameter is partially dependent on the energy source or power source 
     
     
         35 . The method as claimed in  claim 1 , further comprising:
 switching the energy source or power source at a rate less than a sampling rate.   
     
     
         36 . The method as claimed in  claim 1 , further comprising:
 switching the energy source or power source at a rate less than or equal to Nyquist rate.   
     
     
         37 . The method as claimed in  claim 1 , further comprising:
 establishing one or more sampling rates related to domains; and   utilizing one or more of the sampling rates in the partitioning step.   
     
     
         38 . The method as claimed in  claim 1 , further comprising:
 establishing one or more domain bandwidths, each of the one or more domain bandwidths being less than or equal to a rendering bandwidth.   
     
     
         39 . The method as claimed in  claim 1 , further comprising: utilizing one or more FLUTTER™ blended control paths to manipulate the partitions. 
     
     
         40 . The method as claimed in  claim 1 , further comprising:
 coordinating at least two partition paths based on one or more parameters of the information bearing function of time.   
     
     
         41 . The method as claimed in  claim 40 , wherein the one or more parameters of the information bearing function of time include: a function of phase, and/or a function of amplitude. 
     
     
         42 . The method as claimed in  claim 1 , further comprising:
 utilizing the one or more partitions based on an operational state of one or more energy sources and/or power sources.   
     
     
         43 . The method as claimed in  claim 1 , further comprising:
 utilizing an apriori characterization of a system response in the partitioning step.   
     
     
         44 . The method as claimed in  claim 1 , further comprising:
 utilizing an apriori characterization to control an operational state of at least one of the energy sources and/or power sources.   
     
     
         45 . The method as claimed in  claim 1 , further comprising:
 accessing an apriori characterization prior to the partitioning step.   
     
     
         46 . The method as claimed in  claim 1 , further comprising:
 coordinating one or more FLUTTER™ blended control parameters.   
     
     
         47 . The method as claimed in  claim 46 , wherein the one or more FLUTTER™ blended control parameters depend on statistics, ranges, domains, logic functions and/or metrics. 
     
     
         48 . The method as claimed in  claim 46 , wherein the coordinating is a function of one or more transmitter parameters, interface circuits impedances, waveform statistics, data rate or rates, channel frequency or frequencies. 
     
     
         49 . The method as claimed in  claim 1 , wherein one or more of the partitions are randomly allocated. 
     
     
         50 . The method as claimed in  claim 1 , wherein one or more of the energy partitions are allocated to transition between constellation points at substantially common radii. 
     
     
         51 . The method as claimed in  claim 1 , wherein one or more partitions are allocated based on a radial difference of an average of a particular space or related metric. 
     
     
         52 . The method as claimed in  claim 1 , further comprising:
 imparting information to one or more information domains {tilde over (ℑ)}{H(x) v     i   } from one or more sources to interface to an RF signal modulation architecture.   
     
     
         53 . The method as claimed in  claim 1 , further comprising:
 modifying an operational state of a power supply and/or energy source during partitioning.   
     
     
         54 . The method as claimed in  claim 1 , further comprising:
 switching between two or more power supplies during partitioning.   
     
     
         55 . The method as claimed in  claim 1 , further comprising:
 operating a partition at a rate or bandwidth that is lower than a rendered signal rate or bandwidth.   
     
     
         56 . The method as claimed in  claim 1 , wherein one or more partitions are allocated based on efficiency of operation. 
     
     
         57 . The method as claimed in  claim 1 , further comprising:
 sampling partitions at an average rate lower than the Nyquist rate.   
     
     
         58 . The method as claimed in  claim 1 , wherein the partition is determined from one or more of energy, amplitude, or phase, statistic or a mixture thereof. 
     
     
         59 . The method as claimed in  1 , wherein the information bearing function of time is formed from suitable transformation of differential entropy surfaces and information input H(x). 
     
     
         60 . The method claimed in  59 , wherein the differential entropy surfaces are formed with points, lines, line segments, splines, manifolds, patches, partial planes, sub surfaces, and facets in any combination. 
     
     
         61 . The method as claimed in  1 , wherein the information bearing function of time is formed from suitable transformation of differential entropy volumes and information input H(x). 
     
     
         62 . The method as claimed in  60 , wherein the differential entropy surfaces are derived from data in multiple dimensions and domains. 
     
     
         63 . The method as claimed in  61 , wherein the entropy volumes are derived from data in multiple dimensions and domains. 
     
     
         64 . The method as claimed in  claim 1 , wherein the number of partitions equals 3. 
     
     
         65 . The method as claimed in  claim 1 , wherein the number of partitions is between three and six. 
     
     
         66 . The method as claimed in  claim 1 , wherein the number of partitions varies based on a power source energy source impedance. 
     
     
         67 . A method for allocating one or more than one source of information from a set of information {H 1 (x), H 2 (x) . . . H m (x)} comprising:
 processing allocated uncertainty of the source of information to form blended controls;   identifying one or more degrees of freedom present in the source of information;   manipulating degrees of freedom, based on the blended control functions,   wherein the degrees of freedom have one or more constituent signals and energy partitions;   compositing statistically weighted constituent signals to render an information bearing function of time; and   allocating the source of information based on the composting step.   
     
     
         68 . The method as claimed in  67 , wherein the set of information {H 1 (x), H 2 (x) . . . H m (x)} are utilized in part or whole to render one or more than one information bearing function of time or other metric, up to n information bearing functions of time or metric. 
     
     
         69 . A method adapted to generate an information bearing function of time comprising:
 utilizing a mathematical description of modulation;   generating a functional description of an original data set that is to modulated;   generating an estimation function (Dε R ) with differential quantities;   calculating one or more values for the information bearing function of time based on real-time input samples and the estimation function; and   generating the information bearing of function of time based on the calculating step.   
     
     
         70 . The method as claimed in  claim 69 , wherein the mathematical description of modulation includes real and imaginary components and/or numbers. 
     
     
         71 . The method as claimed in  claim 69 , wherein the mathematical description includes digital I and Q components. 
     
     
         72 . The method as claimed in  claim 69 , wherein the information bearing function of time is a modulated RF carrier waveform. 
     
     
         73 . The method as claimed in  claim 72 , wherein dynamic range of the modulated RF carrier waveform is approximately between 10 dB and 174 dB. 
     
     
         74 . The method as claimed in  claim 72 , wherein the modulated RF carrier signal is at two or more power levels. 
     
     
         75 . A method for rendering a representation of an information bearing function of time comprising:
 accessing parameters of a desired information bearing function of time, including multiple signals;   compositing selected ones of the multiple signals; and   rendering a representation of the desired information bearing function of time is based on the compositing step.   
     
     
         76 . The method as claimed in  claim 75 , wherein the compositing step includes examining a covariance of statistical parameters of a signal of interest. 
     
     
         77 . The method as claimed in  claim 75 , wherein the compositing step is based on one or more cross-correlations. 
     
     
         78 . The method as claimed in  claim 75 , wherein the compositing step includes calculations of statistical dependencies. 
     
     
         79 . The method as claimed in  claim 75 , wherein the multiple signals include one or more subsets of signals. 
     
     
         80 . The method as claimed in  claim 75 , wherein the multiple signals comprise three or more signals. 
     
     
         81 . The method as claimed in  claim 75 , wherein the multiple signals comprise two or more from a set of amplitude functions and/or magnitude functions and one or more phase functions. 
     
     
         82 . The method as claimed in  claim 81 , wherein each of the two or more amplitude functions have an associated frequency and bandwidth and/or rate. 
     
     
         83 . The method as claimed in  claim 82 , wherein a first amplitude function has a first frequency and a second amplitude function has a second frequency, and
 wherein the first frequency does not equal the second frequency.   
     
     
         84 . The method as claimed in  claim 82 , wherein two or more functions have associated spectral density and frequency spans. 
     
     
         85 . The method as claimed in  claim 84 , wherein a first function has a first spectral density and associated frequency span and a second function has a second spectral density and associated frequency span. 
     
     
         86 . The method as claimed in  claim 85 , wherein the first spectral density and the second spectral density are at least partially independent of one another. 
     
     
         87 . The method as claimed in  claim 75 , wherein the representation of the desired information bearing function of time is an RF carrier signal. 
     
     
         88 . The method as claimed in  claim 75 , wherein the parameters of a desired information bearing function of time are based on apriori information and/or system characterization. 
     
     
         89 . A method for generating an information bearing function of time comprising: identifying one or more characteristics of a desired information bearing function of time;
 identifying selected multiple signals from an information source; and   synthesizing a representation of the desired information bearing function of time based upon a composition of the selected multiple signals,   wherein the representation is a waveform representation of the desired information bearing function of time having desired thermodynamic efficiency properties.   
     
     
         90 . The method as claimed in  claim 89 , wherein the composition includes examining covariance of statistical parameters of a signal of interest. 
     
     
         91 . The method as claimed in  claim 89 , wherein the composition includes cross-correlations and/or calculated dependencies. 
     
     
         92 . The method as claimed in  claim 89 , wherein the multiple signals include three or more signals. 
     
     
         93 . The method as claimed in  claim 92 , wherein the three or more signals include two or more from a set of amplitude and/or magnitude functions and one or more phase functions. 
     
     
         94 . The method as claimed in  claim 93 , wherein each of the two or more from a set of amplitude and/or magnitude functions has associated frequencies. 
     
     
         95 . The method as claimed in  claim 89 , wherein the desired information bearing function of time includes signals, wave representations or composite waveforms. 
     
     
         96 . The method as claimed in  claim 89  wherein the desired information bearing function of time has:
 a first amplitude and phase distribution having a first spectral distribution and frequency span and 
 a second amplitude and phase distribution having a second spectral distribution and frequency span. 
 wherein the first spectral distribution does not equal the second spectral distribution, and the first frequency span may or may not equal the second frequency span. 
 
     
     
         97 . The method as claimed in  claim 89 , wherein the characteristics of a desired information bearing function of time are based on apriori information and/or characterization. 
     
     
         98 . A method for generating an information bearing function of time comprising:
 accessing parameters of a desired information bearing function of time;   generating a first subset representation of the desired information bearing function of time based on one or more input signals and a first function;   comparing the first subset representation of the desired information bearing function of time to the parameters of the desired information bearing function of time;   identifying a differential quantity based on the comparing step;   compositing the one or more input signals with additional one or more input signals when the differential quantity exceeds a predetermined threshold; and generating a second subset representation of the desired information bearing function of time based on the compositing step.   
     
     
         99 . The method as claimed in  claim 98 , wherein the differential quantity is a function of characteristics of the desired information bearing function of time. 
     
     
         100 . The method as claimed in  claim 99 , wherein the desirable characteristics of the desired information bearing function of time include one or more of function of amplitude, function of frequency and/or function of phase. 
     
     
         101 . The method as claimed in  claim 98 , further comprising:
 identifying one or more statistics of amplitude, frequency and/or phase; and   utilizing the one or more identified statistics in the compositing step.   
     
     
         102 . The method as claimed in  claim 98 , wherein the parameters of a desired information bearing function of time are based on apriori information and/or characterization. 
     
     
         103 . The method as claimed in  claim 98 , wherein the first subset representation and the second subset representation are based on non-linear functions. 
     
     
         104 . The method as claimed in  claim 98 , wherein the parameters of the desired information bearing function of time include real and imaginary components and/or numbers that are established prior to generating the first subset representation of the desired information bearing function of time. 
     
     
         105 . A method for operating one or more energy sources or power sources comprising:
 accessing characterizations of an information bearing function of time;   accessing a plurality of input sources that provide input signals;   compositing two or more of the input signals to generate a representation of the information bearing function of time;   selecting an operational state of at least one of the one or more energy sources or power sources based on the compositing step.   
     
     
         106 . An apparatus to control one or more energy sources or power sources comprising:
 a storage module adapted to store one or more functions of characteristics of a desired information bearing function of time;   a first processing module adapted to receive one or more input signals and at least one of the functions of characteristics of a desired information bearing function of time and provide a first subset of output signals;   a second processing module, operatively coupled to the first processing module, adapted to receive one or more input signals and provide a second subset of output signals;   a third processing module, operatively coupled to the second processing module, adapted to composite the first subset of output signals with the second subset of output signals to generate a representation of the desired information bearing function of time.   
     
     
         107 . The apparatus as claimed in  claim 106 , wherein the first processing module and the second processing module possess non-linear operations. 
     
     
         108 . The apparatus as claimed in  claim 106 , further comprising:
 an output node, operatively coupled to the third processing module, adapted to receive the representation of the desired information bearing function of time and provide a linear representation of the desired information bearing function of time.   
     
     
         109 . The apparatus as claimed in  claim 106 , wherein one or more input signals are reconstituted during compositing. 
     
     
         110 . A method for rendering a representation of an information bearing function of time comprising:
 utilizing one or more energy sources or power sources;   partitioning at least one of the one or more energy sources or power sources as a function of a domain or domains to generate signals;   allocating the signals to render the representation of the information bearing function of time, such that the allocation causes an operational state of at least one of the one or more energy sources or power sources to change.   
     
     
         111 . The method as claimed in  claim 110 , further comprising:
 iteratively processing a blending function for allocating the signals, using at least one iteration.   
     
     
         112 . The method as claimed in  claim 110 , wherein the representation of the information bearing function of time is a waveform. 
     
     
         113 . The method as claimed in  claim 112 , wherein the waveform is based on a stimulus function. 
     
     
         114 . The method as claimed in  claim 113 , wherein the stimulus function is determined based on expected signal statistics. 
     
     
         115 . The method in  claim 110 , wherein the allocating step further comprises:
 minimizes the partitions of the partitioning step.   
     
     
         116 . The method as claimed in  claim 115 , wherein the partitioning step produces three partitions. 
     
     
         117 . The method as claimed in  claim 115 , wherein the partitioning step produces between four and six partitions. 
     
     
         118 . A method for rendering a representation of an information bearing function of time comprising:
 accessing parameters of a plurality of desired information bearing functions of time;   compositing multiple signals for each of the plurality of desired information bearing functions of time; and   generating a representation of each of the plurality of the desired information bearing functions of time as a function of the compositing step.   
     
     
         119 . A method comprising:
 accounting for a number of desired degrees of freedom in a system;   accounting for a number of undesired degrees of freedom in the system;   exciting one or more of the desired degrees of freedom with energy; and   assessing a response by one or more of the undesired degrees of freedom and one or more of the desired degrees of freedom.   
     
     
         120 . The method as claimed in  claim 119 , further comprising:
 utilizing apriori information to identify desired degrees of freedom and undesired degrees of freedom.   
     
     
         121 . The method as claimed in  claim 119 , further comprising:
 characterizing the desired degrees of freedom and the undesired degrees of freedom for the system.   
     
     
         122 . The method as claimed in  claim 119 , wherein the undesired degrees of freedom include rotational, translational, vibrational and other forms of spurious energy. 
     
     
         123 . The method as claimed in  claim 119 , further comprising:
 identifying a total number of degrees of freedom by accounting for a number of desired degrees of freedom and a number of undesired degrees of freedom.   
     
     
         124 . The method as claimed in  claim 119 , further comprising:
 estimating a probability that one or more of the undesired degrees of freedom will be in an unexcited state; and   controlling one or more of the undesired degrees of freedom utilizing the probability.   
     
     
         125 . The method as claimed in  claim 124 , further comprising:
 identifying one or more thermal characteristics to estimate the probability that one or more of the undesired degrees of freedom will be in an unexcited state.   
     
     
         126 . The method as claimed in  claim 119 , further comprising:
 estimating a probability that one or more of the desired degrees of freedom will be in an unexcited state; and   controlling one or more of the desired degrees of freedom utilizing the probability.