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    BECAUSE OUR MINDS ARE ELECTROMAGNETICWE CAN BE TUNED INTO A MACHINE

    WITHOUT KNOWING IT EVEN HAPPENED

    NEIL CHOOSE IT THAT IS

    PAUL D. GATES

    THIS IS THE REASON I WAS KNOCKED OUT ON ELM ST

    IN CINCINNATI COMING HOME FROM WORK

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    NEIL DONNELLY'S PICTURE

    MY STEP-BROTHER THAT TORTURED

    ME AND THEN SAID, BECAUSE MIKE HAD CALLED

    NEIL AND PAM AND SAID HE WAS BOSS, WHEN

    MIKE WAS ABOUT 14 YEARS OLD

    THAT HE WAS TORTURING ME

    BECAUSE HIS BOSS MIKECAUSED MIKE CAUSED NEIL

    TO TORTURE ME AT 5251 SW

    4TH COURT

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    WHETHER YOU WANT TO ADMIT IT OR NOT THIS SMILING SIGNATURE

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    IS THE SIGNATURE OF A PSYCHOPATHIC KILLER, AND I KNOW

    BECAUSE I FELT IT WHILE HE WAS TORTURING ME IN PLANTATION

    FLORIDA

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    15 years

    of prescription sleeping pills, and counting.

    screaming at the TV set was the issue. I have been avictim of most of the following, and even some notmentioned.

    FROM TEMPLE OF THE SCREAMING ELECTRONS INTERNET SITEBEFORE IT WAS NOT ACCESSABLE BY ME.

    http://www.totse.org Invasive At-a-Distance Body Effects(including mind):

    Sleep deprivation and fatigue:

    Silent but instantaneous application of "electronic caffeine" signal, forces awake and keeps awakeLoud noise from neighbors, usually synchronized to attempts to fall asleep-Precision-to-the-second "allowed sleep" and "forced awakening," far too precise and repeated to be naturalDaytime "fatigue attacks" can force the victim to sleep

    Audible Voice to Skull (V2S):

    Delivered by at-a-distance radio signal

    Made to appear as emanating from thin airVoices or sound effects only the victim can hear

    Inaudible Voice to Skull (Silent Sound):

    Delivered by at-a-distance radio signal;Manifested by sudden urges to do something/go somewhereSilent (ultrasonic) hypnosis presumedProgramming hypnotic "triggers" - i.e., specific phrases, catchy songs, verbal hooks or other cues causespecific involuntary actions

    Violent muscle triggering (flailing of limbs):

    Leg or arm jerks to violently force awake and keep awake

    Whole body jerks, as if body had been hit by large jolt of electricityViolent shaking of body; seemingly as if on a vibrating surface but where surface is in reality not vibrating

    Precision manipulation of body parts (slow, specific purpose):

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    a. Stoppage of power to appliances (temporary, breaker ON)b. Manipulation of appliance settingsc. Temporary failures that "fix themselves"

    t. Forced, obviously premature failure of appliances or parts

    3. External Stress-Generating "Skits"

    * a. Participation of strangers, neighbors, and in some casesclose friends and family members in harassment i. Rudeness for no cause

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    Violent shaking of body; seemingly as if on a vibrating surface but where surface is in reality not

    vibrating

    Precision manipulation of body parts (slow, specific purpose):

    Manipulation of hands and feet

    Slow bending almost 90 degrees backward of one toe at a time or one finger at a time

    Direct at-a-distance control of breathing and vocal cords, including involuntary speechSpot blanking of memory, long- and short-term

    Reading said-silently-to-self thoughts:Engineered skits where your thoughts are spoken to you by strangers

    Real time reading sub-vocalized words, as while the victim reads a bookDirect

    ap pl ic at io n of pain to body parts:

    Hot-needles-deep-in-flesh sensationElectric shocks (no wires whatsoever applied)Powerful and unquenchable itching, often applied precisely"Artificial fever," sudden, no illness present

    Sudden racing heartbeat in a relaxed situation External

    Stress-Generating "Skits":Participation of strangers, neighbors hi harassmentRudeness for no causeTradesmen always have "problems," block your car, etc.Purchases delayed, spoiled, or lost at a high rate

    Unusually loud music, noise, far beyond normal Break-

    ins/sabotage at home:

    Shredding of clothingDestruction of furniturePetty theft

    Engineered failures of utilities Sabotage

    at work:

    Deletion/corruption of computer filesPlanting viruses which could not have come from your computer usage patternSpreading of rumors, sabotage to your working reputation

    Direct sabotage and theft of completed workTo the

    Brain:

    Microwave hearing of voice(s) that are not one's ownManipulation of emotions and attacks on self-esteemExternal induction of inappropriate thoughtsReading, echoing, broadcasting and scrambling thoughtsForced memory blanking and induced erroneous actions

    Induced changes to hearingSleep prevention each night, at exactly the same time (for weeks)Sleep induction, often at inappropriate timesVivid controlled dreams, with sense of dream being forced or narrated

    Ultra-vivid forced images, as if a cartoon or photograph forced on visual field To the Face:

    Manipulation of facial expressions

    Forced movement of jaw and clacking of teeth

    Manipulation of airways

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    BEFORE IT WAS NOT ACCESSABLE BY ME.

    http://www.totse.org Invasive At-a-Distance Body Effects (including

    mind):

    Sleep deprivation and fatigue:

    Silent but instantaneous application of "electronic caffeine" signal, forces awake and keeps awakeLoud noise from neighbors, usually synchronized to attempts to fall asleepPrecision-to-the-second "allowed sleep" and "forced awakening," far too precise and repeated to be natural

    Daytime "fatigue attacks" can force the victim to sleep

    Audible Voice to Skull (V2S):

    Delivered by at-a-distance radio signal

    Made to appear as emanating from thin airVoices or sound effects only the victim can hear

    Inaudible Voice to Skull (Silent Sound):

    Delivered by at-a-distance radio signal;Manifested by sudden urges to do something/go somewhereSilent (ultrasonic) hypnosis presumedProgramming hypnotic "triggers" - i.e., specific phrases, catchy songs, verbal hooks or other cues cause specificinvoluntary actions

    Violent muscle triggering (flailing of limbs):

    Leg or arm jerks to violently force awake and keep awakeWhole body jerks, as if body had been hit by large jolt of electricityViolent shaking of body; seemingly as if on a vibrating surface but where surface is in reality not vibrating

    Precision manipulation of body parts (slow, specific purpose):

    Manipulation of hands and feetSlow bending almost 90 degrees backward of one toe at a time or one finger at a timeDirect at-a-distance control of breathing and vocal cords, including involuntary speechSpot blanking of memory, long- and short-term

    Reading said-silently-to-self thoughts:

    Engineered skits where your thoughts are spoken to you by strangersReal time reading sub-vocalized words, as while the victim reads a book

    Direct application of pain to body parts:

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    Sleep deprivation through many different methods, including jolting the victim awake every

    time he/she begins to fall asleep for weeks, months, or even years

    'psycho-electronic' type of mind control I'm discussing here is the covert, around the clock harassment ofinnocent citizens living in their homes and communities, and is currently world wide in scope. This

    harassment includes electronic mind/body attacks, street harassment skits, destruction of family and otherrelationships and destruction of careers.

    Spreading rumours that the victim has a serious criminal record, such as accusations of being a faggot atseven years old

    when in fact they created "thing" when the Gerson's took me to Miami Beach after Ruth Gerson divorcedPaul Gerson Sr

    she even said in the car that Paul Gerson Sr, her former husband usually sits in the front seat. She said "HE"though

    she did not even realize nor did Paul Gersn Jr that "HE" means GOD.Mike Gates, behind my back, whenever I was not around would call Paul Gerson Jr and pretend as thoughhe were

    resolving something in Florida that I had supposedly done, not even realizing that all that he was being toldto call about

    was not even anything I had done. The only issue in the Gerson household had been, and Neil and Pamcontinued to keep it

    that way simply because Mike had called Pam and Neil, living 3 miles away from us, without me knowing

    it, was the divorceof Ruth and Paul Gerson Sr.

    Physical but invisible fondling, including genitalia, an equipment based equivalent of what is sometimesreported in haunted homes

    Sabotage of work and company property in custody of the victim at the victim's place of employment

    Life threatening vehicle sabotage

    I was in my cavalier when my car was set on firein 2003The stupid stuff got mixed with the bigger on the inside stuff because Mike, as a so-called investigator 50 years ago set a little shack that he had built out of cardboard

    back in the wooded area in front of our house because I had seen our mom in

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    her bra, and Mike proceeded to have Roger put his Cavalier Magazine pictures in the

    little shack that he burned down himself.

    Cavalier Magazine and Cavalier car 50 years later at the wink of an eye of HORUS

    BED COILS STANDARDIZED FOR MIND-CONTROLPOTENTIALMetal coil springs were standardized in size, are made of steel and are placed ina grid pattern in a common mattress. Standards were introduced that specifyhow many coils, and what tension were to be used in their manufacture. Theirshape is an open ended hyperbolic which is the best suited to create a similarinduced magnetic field. When one lays down the springs are compressed andhave between 5 to 7 coils compressed. This makes a field of influence aroundthe human body which is enfolded within the field of coils, which are naturalantennas to incoming electromagnetic waves. Evidence suggests that thestandardizing of bed springs was a carefully planned event designed to assistelectronic mind-control.

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    [2]. (Editor's note: DMA breaks from exposure to mobile phones have been confirmed in recent lab research [3, 4]

    (Science in Society 24).)

    Converting sound to microwavesIn 1973, Joseph C. Sharp, an experimental psychologist at Walter Reed Army Institute of Research performed anexperiment that was pivotal to the development of the torture equipment being shipped to Iraq today. He had James Linset up equipment in his laboratory which converted the shape of sound waves into microwave radiation that enabled him

    to hear himself vocalize the names of the numbers from one to ten in his head, by-passing the mechanism of his ownears. This particular experiment was never published but is mentioned in Lin's book,Microwave Auditory Effects andApplications,published in 1978 [5].The experiment has been confirmed in US Patent 6 587 729, "Apparatus for Audibly Communicating Speech Using theRadio Frequency Hearing Effect" [6]. This patent is for an improved version of the apparatus used in the 1973laboratory experiment, issued on July 1,2003 and assigned to the Secretary of the Air Force. It provides scientificevidence that it is possible to hear threatening voices in one's head without suffering from paranoid schizophrenia. Whyhas this patent been published openly at a time when the US Government is practicing a degree of secrecy that rivalsStalin's Kremlin? I have no satisfactory answer, except to say that the apparatus in the patent has already beensuperseded by equipment that achieves the same effect by far more sophisticated means. It blocks the normal processes ofmemory and thought by remote electronic means, while at the same time supplying false, distorted and/or unpleasantmemories and suggestions by means of a process called "synthetic telepathy". The equipment that produces synthetictelepathy is sometimes referred to as "influence technology".

    While voices and visions, daydreams and nightmares are the most astonishing manifestations of this weapon system, it isalso capable of crippling the human subject by limiting his/her normal range of movement, causing acute pain theequivalent of major organ failure or even death, and interfering with normal functioning of any of the human senses. Inother words, any of the tortures with which the words Guantanamo Bay have become synonymous can be achieved byremote, electronic means.

    Instruments of tortureInfluence technology is also capable of persuading the subjects that then- mind is being read, that their intellectualproperty is being plundered, and can even motivate suicide or the murder of family, friends, and co-workers. During theyears of the so-called "War on Drugs" (which preceded the "War on Terrorism"), letters that the involuntary humansubjects had written or were about to receive regularly vanished from the mail, as though the government had a hugecovert operation through post offices across the country. When George Herbert Walker Bush became president (in!989),the incidence of co-worker killings in the post offices became so great that the expression "going postal" began to

    replace the commonly used expression of "going crazy". The killing of co-workers in other workplaces began tocommand more media attention too [7].I estimate that the cost of imprisoning a human being in his/her own body and applying unremitting torture is US$5 000000 to $10 000 000 a year (see below).By "unremitting torture" I mean exactly that. Because there is no visible evidence left by this new torture equipmentsuch as damage to the skin, it is possible to torture the involuntary human subjects for 24 hours a day, 365 days a year.This can be done and is being done even on Christmas and Easter [8].I arrived at my estimate on the cost of testing/using electromagnetic weapons on a human subject by visiting a cable TVchannel that specializes in the sale of goods over the air 24 hours a day. I questioned the number of technical staffrequired, their working hours and salary range; also the number of back-up personnel required to prepare theprogramming for broadcast. I did not inquire about the cost of electronics and the schedule by which it is depreciated. Ihave estimated a cost for depreciation that is included in my estimate of the cost of torturing one involuntary humansubject for one year.

    Torture is a labor-intensive business. What objective would justify this investment? Could it be something as insane asto rule the world by enslaving the democratic governments of the more populous countries? This objective is certainlyconsistent with the United States' disdain for, and hostility toward, the United Nations, the international conventionsand covenants it has ratified in the past and customary international law [9].On 1 March 2001, the Marine Corps announced a new non-lethal weapon, "active denial technology". It producesenormous pain by allegedly boiling the molecules of water in the human skin without damaging the skin itself. Asdescribed in an article published inNew Scientist, it employs pulsed electromagnetic radiation at a frequency of 95 GHzwith a range of about 600 meters [10]. There have been several new reports in the magazine in 2005, including onepublished in July [11], describing volunteers taking part in tests to determine how safe the Active Denial System

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    TITLE: Effects of low power microwaves on thelocal cerebral blood flow of conscious rats EleanorWhite's inserted note:

    See the BOLDED text below. This abstract has implications FAR beyond "rats". Document ID:

    19810004209 N (81N12720) File Series: NASA Technical Reports Report Number: AD-A090426 Sales

    Agency & Price: CASI Hardcopy A02 CASI Microfiche A01

    Authors:

    Oscar, K. J. (Army Mobility Equipment Command)

    Published: Jun 01, 1980

    Corporate Source:

    Army Mobility Equipment Command (Fort Belvoir, VA, United States)

    Pages: 10

    Contract Number: None

    NASASubject Category: LIFE SCIENCES (GENERAL)

    Abstract:A decoy and deception concept presently being considered is to remotely create the perception of noise in the

    heads of personnel by exposing them to low power, pulsed microwaves. When people are illuminated with properlymodulated low power microwaves the sensation is reported as a buzzing, clicking, or hissing which seems to

    originate (regardless of the person's position in the field) within or just behind the head. The phenomena occurs ataverage power densities as low as microwatts per square centimeter with carrier frequencies from 0.4 to 3.0 GHz.By proper choice of pulse characteristics, intelligible speech may be created. Before this technique may be extendedand used for military applications, an understanding of the basic principles must be developed. Such anunderstanding is not only required to optimize the use of the concept for camouflage, decoy and deceptionoperations but is required to properly assess safety factors of such microwave exposure.

    Major Subject Terms:AUDITORY PERCEPTION BRAIN CIRCULATION DECEPTION MICROWAVES

    PHYSIOLOGICAL EFFECTS RADIATION EFFECTS

    Minor Subject Terms:BIOLOGICAL EFFECTS HEMODYNAMICS MILITARY TECHNOLOGY RADIATION DOSAGE SOUND

    LOCALIZATION

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    Eleanor White's comments: I have received this report in it's entirety and I find that the article itself is

    about the title: Cerebral blood flow in rats. We involuntary experimentees are extremely lucky that

    the authors mentioned the success of microwave voice to skull transmission in this official document.

    Below I have extracted some of the references to the full document which appear to be more promising and specific. This sub-listis guesswork since the references omit article titles, but any articles by Frey or Justesen are potentially useful.

    1. Frey, A.H., Messenger, R. and Eichert, E., National TechnicalInformation Service, Doc. No. AD747684 (1972)

    5. Justesen, D.R., IEEE Spectrum 16, 67-68 (1979)

    7. Frey, A.H., Feld, S.R., & Frey, B. Annals of N.Y. Academy ofScience, 247, 433-439 (1975)

    18. Frey, A.H., & Messenger, R., Science 181, 356-358 (1973)

    25. Frey, A.H., & Feld, S.R., Journal of Comp. Physiology andPsychology, 89, 183-188 (1975)

    27. King, N.W., Justesen, D.R, & Clarke, R.L., Science 172, 398-401(1977)

    -* united States Patent 6,587,729O'Loughlin, etal. July 1,2003

    Apparatus for audibly communicating speech using the radio frequency hearing effect

    Abstract

    A modulation process with a fully suppressed carrier and input preprocessor filtering to produce anencoded output; for amplitude modulation (AM) and audio speech preprocessor filtering, intelligiblesubjective sound is produced when the encoded signal is demodulated using the RF Hearing Effect.Suitable forms of carrier suppressed modulation include single sideband (SSB) and carrier suppressedamplitude modulation (CSAM), with both sidebands present.Inventors: O'Loughlin; James P. (Placitas, NM); Loree; Diana L. (Albuquerque, NM)Assignee: The United States of America as represented by the Secretary of the Air (Washington,DC)Appl. No.: 131626Filed: April 24, 2002

    Current U.S. Class: 607/55; 128/897; 332/167; 381/151; 600/586Intern'1 Class: H03C 001/54Field of Search: 332/167 381/151 607/56,55 340/384.1 600/559,23,586 128/897,898References Cited [Referenced By]

    U.S. Patent Documents3563246 Feb., 1971 Puharich et al. 607/55. 3629521 Dec.,1971 Puharich et al. 607/56. 4835791 May., 1989 Daoud375/301.

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    5450044 Sep., 1995 Hulick 332/103.

    Primary Examiner: Schaetzle; Kennedy Attorney, Agent or Firm:Skorich; James M. Goverment Interests

    The invention described herein may be manufactured and used by or for the Government for governmental purposes without the

    payment of any royalty thereon. Parent Case Text

    This application is a division of U.S. patent application Ser. No. 08/766,687 filedon Dec. 13,1996, now U.S. Pat. No. 6,470,214, and claims the benefit of theforegoing filing date. Claims

    What is claimed is:

    1. An apparatus for communicating an audio signal a(t), comprising:

    an audio predistortion filter having a filter function As(f) for producing a first output signal a(t)As(t) from the audio signal a(t);

    means for adding a bias A to the first output signal, to produce a second output signal a(t)As(f)+A;

    a square root processor for producing a third output signal (a(t)As(f)+A).sup. 1/2 responsive to the second output signal; and

    a modulator for producing a double sideband output signal responsive to the third output signal, having a carrier frequency of.omega..sub.c, and being mathematically described by (a(t)As(f)+A).sup.l/2 sin(.omega..sub.c t); and

    transmitting the double sideband output signal to a demodulator, whereby the audio signal a(t) is recovered from the doublesideband output signal.

    2. The communication apparatus defined in claim 1 wherein;

    the double sideband output signal has RF power; and

    the demodulator is for converting the RF power into acoustic pressure waves.

    3. The communication apparatus defined in claim 2 wherein:

    the demodulator converts the RF power into the acoustic pressure waves by means of thermal expansion and contraction,whereby

    the acoustic pressure waves approximate the audio signal a(t).

    4. The communication apparatus defined in claim 2 wherein the demodulator includes a mass that expands and contractsresponsive to the RE power of the double sideband output signal.

    5. The communication apparatus defined in claim 4 wherein the mass is approximately spherical.

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    The attempt to use the click process to encode speech has been based on the assumption that if simple

    tones can be encoded, speech can be encoded as well, but this is not so. A simple tone can contain

    several distortions and still be perceived as a tone whereas the same degree of distortion applied to

    speech renders it unintelligible.

    SUMMARY OF THE INVENTION

    In accomplishing the foregoing and related object the invention uses a modulation process with a fullysuppressed carrier and pre-processor filtering of the input to produce an encoded output. Where amplitudemodulation (AM) is employed and the pre-processor filtering is of audio speech input, intelligiblesubjective sound is produced when the encoded signal is demodulated by means of the RF Hearing Effect.Suitable forms of jgarrier suppressed modulation include single sideband (SSB) and carrier suppressedamplitude modulation (CSAM), with both sidebands present.

    The invention further provides for analysis of the RE hearing phenomena based on an RF to acoustictransducer model. Analysis of the model suggests a new modulation process which permits the RF HearingEffect to be used following the transmission of encoded speech.

    In accordance with one aspect of the invention the preprocessing of an input speech signal takes place with

    a filter that de-emphasizes the high frequency content of the input speech signal. The de-emphasis canprovide a signal reduction of about 40 dB (decibels) per decade. Further processing of the speech signalthen takes place by adding a bias level and taking a root of the predistorted waveform. The resultant signalis used to modulated an RF carrier in the AM fully suppressed carrier mode, with single or doublesidebands.

    The modulated RF signal is demodulated by an RF to acoustic demodulator that produces an intelligibleacoustic replication of the original input speech.

    The RF Hearing Effect is explained and analyzed as a thermal to acoustic demodulating process. Energyabsorption in a medium, such as the head, causes mechanical expansion and contraction, and thus an acousticsignal.

    When the expansion and contraction take place in the head of an animal, the acoustic signal is passed byconduction to the inner ear where it is further processed as if it were an acoustic signal from the outer ear.

    The RF to Acoustic Demodulator thus has characteristics which permit the conversion of the RF energyinput to an acoustic output.

    Accordingly, it is an object of the invention to provide a novel technique for the intelligible encoding ofsignals. A related object is to provide for the intelligible encoding of speech.

    Another object of the invention is to make use of the Radio Frequency ("RF") Hearing Effect in theintelligible demodulation of encoded signals, including speech.

    Still another object of the invention is to suitably encode a pulsed RF carrier with an amplitude modulated("AM") envelope such that the modulation will be intelligibly demodulated by means of the RF Hearing

    Effect. A related object is to permit a message to be identified and understood as speech when a listenerdoes not know beforehand that the message is speech.

    Other aspects of the invention will be come apparent after considering several illustrative embodiments,taken in conjunction with the drawings.

    DESCRIPTION OF THE DRAWINGS

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    FIG. 1 is a block diagram model of RF to Acoustic Demodulation Process making use of the Radio Frequency

    ("RF") Hearing Effect;

    FIG. 2 is a spherical demodulator and radiator having a specific acoustic impedance for demodulation using the RF HearingEffect;

    FIG. 3 is a diagram illustrating the overall process and constituents of the invention; and FIG. 4 is an

    illustrative circuit and wiring diagram for the components of FIG. 3. DETAINED DESCRIPTION OF THE

    PREFERRED EMBODIMENT

    With reference to the drawings, FIG. 1 illustrates the RF to acoustic demodulation process of the invention. Ordinarily anacoustic signal A reaches the outer ear E of the head H and traverses first to the inner ear I and then to the acousticreceptors of the brain B. A modulated RF signal, however, enters a demodulator D, which is illustratively provided by themass M of the brain, and is approximated, as shown in FIG. 2, by a sphere S of radius r in the head H. The radius r of thesphere S is about 7 cm to make the sphere S equivalent to about the volume of the brain B. It will be appreciated that wherethe demodulator D, which can be an external component, is not employed with the acoustic receptors of the brain B, it canhave other forms.

    The sphere S, or its equivalent ellipsoid or similar solid, absorbs RF power which causes an increase in temperature that inturn causes an expansion and contraction which results in an acoustic wave. As a first approximation, it is assumed that theRF power is absorbed uniformly in the brain. Where the demodulator D is external to the brain B, the medium and/or RFcarrier frequency can be selected to assure sufficiently uniform absorption.

    For the modulated RF signal of FIG. 1, the power absorbed in the sphere S is proportional to the power waveform of themodulated RF signal. The absorption rate is characterized quantitatively in terms of the SAR (Specific Absorption Rate) inthe units of absorbed watts per kilogram per incident watt per square centimeter.

    The temperature of the sphere S is taken as following the integrated heat input from the power waveform, i.e. the process isapproximated as being adiabatic, at least for short term intervals on the order of a few minutes.

    The radial expansion of the sphere follows temperature and is converted to sound pressure, p(t), determined by the radialvelocity (U.sub.r) multiplied by the real part of the specific acoustic impedance (Z.sub.s) of the sphere, as indicated inequation (1), below.

    Z.sub.s =.rho..sub.o c(jkr)/(l+jkr)=.rho..sub.o cjf7f.sub.c/(l+jf/f.sub.c) (1)

    Where:

    .rho..sub.o =density, 1000 kg/m.sup.3 for water

    c=speed of sound, 1560 m/s, in water @ 37.degree. C.

    k=wave number, 2.pi./wavelength

    r=sphere radius, in meters (m)

    f=audio frequency

    f.sub.c =lower cutoff break frequency,=c/(2.pi.r)

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    j=the 90 degree phase-shift operator

    The specific acoustic impedance for a sphere of 7 cm radius, on the order of the size of the brain, has a lower cut-offbreakfrequency of about 3,547 Hertz (Hz) for the parameters given for equation (1). The essential frequency range of speech is about300 to 3000 Hz, i.e., below the cut-off frequency. It is therefore the Real part (R.sub.e) of Z.sub.s times the radial particle

    velocity (U.sub.r) which determines the sound pressure, p(t). The real part of Z.sub.s is given by equation (la), below:

    R.sub.e (Z.sub.s)=.rho..sub.o c(f7f.sub.c).sup.2 /(l+(f7f.sub.c).sup.2) (la)

    In the speech spectrum, which is below the brain cut-off frequency, the sphere S is an acoustic filter which "rolls off", i.e.decreases in amplitude at -40 dB per decade with decreasing frequency. In addition to any other demodulation processes to beanalyzed below, the filter characteristics of the sphere will modify the acoustic signal with a 40 dB per decade slope in favor ofthe high frequencies.

    Results for an AM Modulated Single Tone

    An RF carrier with amplitude A.sub.c at frequency .omega..sub.c is AM modulated 100 percent with a single tone audio signal atfrequency .omega..sub. 1. The voltage (time) equation of this modulated signal is given by equation (2), below:

    V(t)=A.sub.c sin (.omega..sub.c t)(l+sin (.omega..sub.a t)) (2) The power signal is

    V(t).sup.2 as given by equation (3), below:

    P(t)=A.sub.c.sup.2 [3/4+sin(.omega..sub.3 t)-l/4 cos(2.omega..sub,3 t)-3/4 cos(2.omega..sub.c t)-cos(2.omega..sub.c t)sin(.omega..sub.3 t)+l/4 cos(2.omega..sub.c t) cos(2.omega..sub.3 t)] (3)

    To find the energy absorbed in the sphere, the time integral of equation (3) is taken times absorption coefficient, K. The result isdivided by the specific heat, SH to obtain the temperature of the sphere and then multiplied by the volume expansion coefficient,Mv to obtain the change in volume. The change in volume is related to the change in radius by equation (4), below:

    dV/V=3dr/r (4)

    To obtain the amplitude of the radius change, there is multiplication by the radius and division by three. The rms radial surfacevelocity, U.sub.r is determined by multiplying the time derivative by r and dividing by 2.sup. 1/2. The result, U.sub.r, isproportional to the power function, P(t) in equation (5), below.

    U.sub.r =0.3535 P(t)rKM.sub.v /(3SH) (5)

    The acoustic pressure, p(t), is given in equation (6), below, as the result of multiplying equation (5) by the Real part of thespecific acoustic impedance, R.sub.e (1).

    p(t)=R.sub.e {Z.sub.s U.sub.r }=R.sub.e (Z.sub.s)U.sub.r (6)

    The SPL (Sound Pressure Level), in acoustic dB, is approximated as 20 log[p(t)/2E-5]. The standard acoustic reference level of2E-5 Newtons per square meter is based on a signal in air; however, the head has a water-like consistency. Therefore, thesubjective level in acoustic dB is only approximate, but sufficient for first order accuracy.

    In a single tone case the incident RF power, P(t), from equation (3) has two terms as shown in equation (7), below, which are inthe hearing range.

    sin(.omega..sub.a t)-l/4 cos(2.omega..sub.a t) (7)

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    This is converted to the acoustic pressure wave, p(t), by multiplying by the specific acoustic impedance calculated at the

    two frequencies. Therefore, the resulting pressure wave as indicated in equation (8), below, becomes

    p(t)=C[Z.sub.s (.omega..sub.a)sin(.omega..sub.at)-l/4Z.sub.s (2.omega..sub.a)cos(2.omega..sub.3 t)] (8)

    The result is an audio frequency and a second harmonic at about 1/4 amplitude. Thus using an RF carrier, AM modulated by asingle tone, the pressure wave audio signal will consist of the audio tone and a second harmonic at about -6 dB, if the specific

    acoustic impedances at the two frequencies are the same. However, from equation (1) the break frequency of a model 7 cmsphere is 3.547 Hz. Most of the speech spectrum is below this frequency therefore the specific acoustic impedance is reactiveand the real component is given by equation (8a), below:

    R.sub.e (Z.sub.s (f)}=.rho..sub.o c(f/f.sub.c).sup.2 /(l+(f/f.sub.c)) (8a)

    Below the cutoff frequency the real part of the impedance varies as the square of the frequency or gives a boost of 40 dB perdecade. Therefore, if the input modulation signal is 1 kHz, the second harmonic will have a boost of about 4 time in amplitude,or 12 dB, due to the variation of the real part of the specific acoustic impedance with frequency. So the second harmonicpressure term in equation (8) is actually four times the power or 6 dB higher than the fundamental term. If the second harmonicfalls above the cutoff frequency then the boost begins to fall back to 0 dB. However, for most of the speech spectrum there is asever distortion and strong boost of the high frequency distortion components.

    Results for Two Tone AM Modulation Analysis

    Because of the distortion attending single tone modulation, predistortion of the modulation could be attempted such that theresulting demodulated pressure wave will not contain harmonic distortion. This will not work, however, because of the non-linear cross-products of two-tone modulation are quite different from single tone modulation as shown below.

    Nevertheless, two-tone modulation distortion provides an insight for the design of a corrective process for a complexmodulation signal such as speech. The nature of the distortion is defined in terms of relative amplitudes and frequencies.

    Equation (8b) is that of an AM modulated carrier for the two-tone case where .omega..sub.al and .omega..sub.a2 are of equalamplitude and together modulate the carrier to a maximum peak value of 100 percent. The total modulated RF signal is given byequation (8b), below:

    V(t)=A.sub.c sin(.omega..sub.ct)[l+l/2 sin(.omega..sub.al t)+l/2 sin(.omega..sub.a2t)]

    The square of (8b) is the power signal, which has the same form as the particle velocity, U.sub.r (t), of equation (9), below.

    From the square of (8b) the following frequencies and relative amplitudes are obtained for the particle velocity wave,U.sub.r (t), which are in the audio range;

    U.sub.r (t)=C[sin(.omega..sub.al t)+sin(.omega..sub.a2 t)+l/4 cos((.omega..sub.al -.omega..sub.a2)(t) =1/4 cos((.omega..sub.al+.omega..sub.a2)t)-l/8 cos(2.omega..sub.al t)-l/8 cos(2.omega..sub.a21)] (9)

    If the frequencies in equation (9) are below the cut-off frequency, the impedance boost correction will result in a pressurewave with relative amplitudes given in equation (9a), below:

    p(t)=C'[sin(.omega..sub.al t)+b.sup.2 sin(.omega..sub.a2 t)+(l-b.sup.2)/4 cos((.omega..sub.al -

    .omega..sub.a2)t)+(l+b.sup.2)/4cos((.omega..sub.al +.omega..sub.a2)t)-l/2cos(2.omega..sub.al)t)-b.sup.2

    12cos(2.omega..sub.a21) (9a)

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