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SYSTEM FOR GENERATING THE FOURIER TRANSFORM OF A FUNCTION

  • US 3,745,317 A
  • Filed: 05/21/1971
  • Issued: 07/10/1973
  • Est. Priority Date: 05/04/1970
  • Status: Expired due to Term
First Claim
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1. A system for generating the Fourier coefficients of a real function z(t) which is generated in the form of N samples equally spaced by the interval Theta from t -T to t T in the form z(p Theta ) where p is an integer such that - T/ Theta <

  • p <

    T/ Theta comprising a store unit (1) for storing N samples equally spaced by the interval Theta , of the function cos pi t/T from t -T to t T in the form cos pi p Theta /T;

    a reader (2) connected to said store for reading out every Kth samples of the functions cos pi t/T, K being an integer increasing from 1 inclusive to T/ Theta inclusive, said reader and said store unit forming a further generator (3) of samples cos ( pi Kp Theta /T);

    a multiplier (4) one of the inputs (4a) of which is connected to said generator of samples z(p Theta ) while the other of the inputs (4b) is connected to said generator (3) of samples cos ( pi Kp Theta /T);

    said multiplier selectively forming the product of z(p Theta ) and cos ( pi Kp Theta /T);

    an integrator (5) connected to said multiplier for summation of successive products each of the sums over p for which K is constant representing the Fourier coefficient associated with the frequency K/2T;

    a switch (8) for rezeroizing said integrator (5) and a clock (9) for actuating said reader, said further generator, said multiplier and said switch.

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