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Geometrically modulated waves

  • US 6,204,735 B1
  • Filed: 05/14/1999
  • Issued: 03/20/2001
  • Est. Priority Date: 01/24/1994
  • Status: Expired due to Fees
First Claim
Patent Images

1. A system for generating a waveform represented by one of the following equations:

  • R

    (θ

    )
    =1-θ

    4
    4!
    +θ

    8
    8!
    -θ

    12
    12!
    +θ

    16
    16!
    -θ

    20
    20!
    +θ

    24
    24!




    T=0


    (-1)T

    θ

    4

    T
    (4

    T
    )
    !
    ,
    C

    (θ

    )
    =θ

    3
    3!
    -θ

    7
    7!
    +θ

    11
    11!
    -θ

    15
    15!
    +θ

    19
    19!
    -θ

    23
    23!
    +θ

    27
    27!




    T=0


    (-1)T

    θ

    4

    T
    +3
    (4

    T
    +3
    )
    !
    ,
    I

    (θ

    )
    =θ

    2
    2!
    -θ

    6
    6!
    +θ

    10
    10!
    -θ

    14
    14!
    +θ

    18
    18!
    -θ

    22
    22!
    +θ

    26
    26!




    T=0


    (-1)T

    θ

    4

    T
    +2
    (4

    T
    +2
    )
    !
    ,
    S

    (θ

    )
    =θ

    1!
    -θ

    5
    5!
    +θ

    9
    9!
    -θ

    13
    13!
    +θ

    17
    17!
    -θ

    21
    21!
    +θ

    25
    25!




    T=0


    (-1)T

    θ

    4

    T
    +1
    (4

    T
    +1
    )
    !
    ,
    wherein θ

    is the angle in radians of the waveform;

    T is an integer from 1 to ∞

    representing the truncation point of the formula; and

    R(θ

    ) represents an amplitude of the waveform, the system comprising;

    an oscillator that receives an input and generates a binary coded decimal output;

    a binary counter that receives the binary coded decimal output and generates a binary signal;

    an EPROM that receives the binary signal at an address and generates an output corresponding to a number contained at the address;

    a digital-to-analog converter that converts the number into a voltage value; and

    a signaling power supply that receives the voltage value and generates the waveform.

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