ES391582A2 - System for forming the fourier transform of a function - Google Patents

System for forming the fourier transform of a function

Info

Publication number
ES391582A2
ES391582A2 ES391582A ES391582A ES391582A2 ES 391582 A2 ES391582 A2 ES 391582A2 ES 391582 A ES391582 A ES 391582A ES 391582 A ES391582 A ES 391582A ES 391582 A2 ES391582 A2 ES 391582A2
Authority
ES
Spain
Prior art keywords
theta
products
fourier transform
samples
function
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
ES391582A
Other languages
Spanish (es)
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Commissariat a lEnergie Atomique et aux Energies Alternatives CEA
Original Assignee
Commissariat a lEnergie Atomique CEA
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Commissariat a lEnergie Atomique CEA filed Critical Commissariat a lEnergie Atomique CEA
Publication of ES391582A2 publication Critical patent/ES391582A2/en
Expired legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)

Abstract

Improvements made to the object of main patent no. 370,083, filed on July 30, 1969, by: procedure and device to calculate the Fourier transform of a function, this being a real function z (t) known in a 2T amplitude interval in the form of z samples (p {theta }) regularly spaced at intervals {theta}, procedure according to which, for each value of the integer K that increases from 1 to T/{theta} inclusive, the products of z/p {theta}) are made by cos π/T Kp {theta} corresponding, and eventually or in substitution to the products of z (p {theta}) by sin π/T kp {theta}, to all the aforementioned values of p of - T/{theta} a + T/{theta} and all these successive products are added together, each of these sums representing the sampling point relative to the K/2T frequency of the fourier transform, characterized in that the successive samples cos π/T p are stored {theta} or sen π/T p {theta} in the places of successive addresses of a numerical memory, because the samples z (p {theta}) are memorized in the form a numerical and because the partial products and the sums representing the sampling points are made numerically. (Machine-translation by Google Translate, not legally binding)
ES391582A 1970-05-26 1971-05-26 System for forming the fourier transform of a function Expired ES391582A2 (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR7019221A FR2088191B2 (en) 1970-05-26 1970-05-26

Publications (1)

Publication Number Publication Date
ES391582A2 true ES391582A2 (en) 1978-01-16

Family

ID=9056158

Family Applications (1)

Application Number Title Priority Date Filing Date
ES391582A Expired ES391582A2 (en) 1970-05-26 1971-05-26 System for forming the fourier transform of a function

Country Status (7)

Country Link
BE (1) BE767692R (en)
CH (1) CH539300A (en)
DE (1) DE2125917A1 (en)
ES (1) ES391582A2 (en)
FR (1) FR2088191B2 (en)
GB (1) GB1329511A (en)
IT (1) IT991512B (en)

Also Published As

Publication number Publication date
FR2088191B2 (en) 1976-04-16
DE2125917A1 (en) 1971-12-09
GB1329511A (en) 1973-09-12
BE767692R (en) 1971-10-18
FR2088191A2 (en) 1972-01-07
CH539300A (en) 1973-08-31
IT991512B (en) 1975-08-30

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Legal Events

Date Code Title Description
FD2A Announcement of lapse in spain

Effective date: 20170703