AU2001268309A1 - Methods for reducing the number of computations in a discrete fourier transform - Google Patents
Methods for reducing the number of computations in a discrete fourier transformInfo
- Publication number
- AU2001268309A1 AU2001268309A1 AU2001268309A AU6830901A AU2001268309A1 AU 2001268309 A1 AU2001268309 A1 AU 2001268309A1 AU 2001268309 A AU2001268309 A AU 2001268309A AU 6830901 A AU6830901 A AU 6830901A AU 2001268309 A1 AU2001268309 A1 AU 2001268309A1
- Authority
- AU
- Australia
- Prior art keywords
- computations
- reducing
- methods
- fourier transform
- discrete fourier
- 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.)
- Abandoned
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR 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
- G06F17/141—Discrete Fourier transforms
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR 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
- G06F17/147—Discrete orthonormal transforms, e.g. discrete cosine transform, discrete sine transform, and variations therefrom, e.g. modified discrete cosine transform, integer transforms approximating the discrete cosine transform
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Computational Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Data Mining & Analysis (AREA)
- Theoretical Computer Science (AREA)
- Discrete Mathematics (AREA)
- Algebra (AREA)
- Databases & Information Systems (AREA)
- Software Systems (AREA)
- General Engineering & Computer Science (AREA)
- Complex Calculations (AREA)
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US21066100P | 2000-06-09 | 2000-06-09 | |
US60/210,661 | 2000-06-09 | ||
PCT/US2001/018770 WO2001095142A2 (en) | 2000-06-09 | 2001-06-11 | Methods for reducing the number of computations in a discrete fourier transform |
Publications (1)
Publication Number | Publication Date |
---|---|
AU2001268309A1 true AU2001268309A1 (en) | 2001-12-17 |
Family
ID=22783762
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
AU2001268309A Abandoned AU2001268309A1 (en) | 2000-06-09 | 2001-06-11 | Methods for reducing the number of computations in a discrete fourier transform |
Country Status (4)
Country | Link |
---|---|
US (3) | US6820104B2 (en) |
AU (1) | AU2001268309A1 (en) |
TW (1) | TW544594B (en) |
WO (1) | WO2001095142A2 (en) |
Families Citing this family (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US7892681B2 (en) | 2005-07-19 | 2011-02-22 | Pelton Walter E | System of distributed electrochemical cells integrated with microelectronic structures |
US6625203B2 (en) * | 2001-04-30 | 2003-09-23 | Interdigital Technology Corporation | Fast joint detection |
JP2004120439A (en) * | 2002-09-26 | 2004-04-15 | Nec Electronics Corp | Image processor and image processing method |
DE10249697B3 (en) * | 2002-10-25 | 2004-04-15 | Gruner Ag | Electromagnetic relay with 2 parallel contact springs held in contact closed position via respective ends of flat spring pivoted at its centre |
US20070026266A1 (en) * | 2005-07-19 | 2007-02-01 | Pelton Walter E | Distributed electrochemical cells integrated with microelectronic structures |
US20070200738A1 (en) * | 2005-10-12 | 2007-08-30 | Yuriy Reznik | Efficient multiplication-free computation for signal and data processing |
US8595281B2 (en) * | 2006-01-11 | 2013-11-26 | Qualcomm Incorporated | Transforms with common factors |
US8849884B2 (en) * | 2006-03-29 | 2014-09-30 | Qualcom Incorporate | Transform design with scaled and non-scaled interfaces |
Family Cites Families (32)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3803393A (en) * | 1969-07-01 | 1974-04-09 | Nasa | Asynchronous binary array divider |
US4581715A (en) * | 1970-12-28 | 1986-04-08 | Hyatt Gilbert P | Fourier transform processor |
US3746848A (en) | 1971-12-27 | 1973-07-17 | Bell Telephone Labor Inc | Fft process and apparatus having equal delay at each stage or iteration |
US3745848A (en) * | 1971-12-30 | 1973-07-17 | H Halibrand | Side thrust limiter for ring and pinion gearing |
US4023028A (en) * | 1974-08-20 | 1977-05-10 | The United States Of America As Represented By The Secretary Of The Navy | Method and apparatus for computing the discrete Fourier transform recursively |
US4225937A (en) * | 1978-09-18 | 1980-09-30 | Xerox Corporation | Method and apparatus for suppression of error accumulation in recursive computation of a discrete Fourier transform |
US4466077A (en) | 1981-09-25 | 1984-08-14 | International Business Machines Corporation | Method and apparatus for division employing associative memory |
GB2109962B (en) | 1981-11-24 | 1985-11-27 | Standard Telephones Cables Ltd | Discrete fourier transform circuit |
FR2587819B1 (en) * | 1985-09-24 | 1989-10-06 | Thomson Csf | DEVICE FOR CALCULATING A DISCRETE, SLIDING AND NON-RECURSIVE FOURIER TRANSFORM, AND ITS APPLICATION TO A RADAR SYSTEM |
US4868776A (en) * | 1987-09-14 | 1989-09-19 | Trw Inc. | Fast fourier transform architecture using hybrid n-bit-serial arithmetic |
JP2585649B2 (en) * | 1987-11-30 | 1997-02-26 | インデータシステムズ株式会社 | Division circuit |
JPH02156328A (en) | 1988-12-08 | 1990-06-15 | Toshiba Corp | Reciprocal circuit |
JPH03204720A (en) | 1990-01-08 | 1991-09-06 | Nec Corp | Elementary function arithmetic unit |
US5245564A (en) * | 1991-05-10 | 1993-09-14 | Weitek Corporation | Apparatus for multiplying operands |
US5233551A (en) * | 1991-10-21 | 1993-08-03 | Rockwell International Corporation | Radix-12 DFT/FFT building block |
JP3175322B2 (en) * | 1992-08-20 | 2001-06-11 | 株式会社日立製作所 | Automatic logic generation method |
US5341321A (en) * | 1993-05-05 | 1994-08-23 | Hewlett-Packard Company | Floating point arithmetic unit using modified Newton-Raphson technique for division and square root |
EP0704775A1 (en) * | 1994-08-22 | 1996-04-03 | Zellweger Luwa Ag | Method and apparatus for estimating relevant quantity in the manufacture of textile products |
US6334219B1 (en) * | 1994-09-26 | 2001-12-25 | Adc Telecommunications Inc. | Channel selection for a hybrid fiber coax network |
US5563818A (en) * | 1994-12-12 | 1996-10-08 | International Business Machines Corporation | Method and system for performing floating-point division using selected approximation values |
US6240338B1 (en) * | 1995-08-22 | 2001-05-29 | Micron Technology, Inc. | Seed ROM for reciprocal computation |
KR100200479B1 (en) * | 1995-12-15 | 1999-06-15 | 윤종용 | Imdct transformation method |
US5784307A (en) * | 1996-05-31 | 1998-07-21 | Intel Corporation | Division algorithm for floating point or integer numbers |
US5818745A (en) * | 1996-05-31 | 1998-10-06 | Intel Corporation | Computer for performing non-restoring division |
JPH10198657A (en) * | 1997-01-08 | 1998-07-31 | Toshiba Corp | Signal processor |
JP3749022B2 (en) * | 1997-09-12 | 2006-02-22 | シャープ株式会社 | Parallel system with fast latency and array processing with short waiting time |
US6163791A (en) * | 1998-02-02 | 2000-12-19 | International Business Machines Corporation | High accuracy estimates of elementary functions |
DE19825070C1 (en) | 1998-06-04 | 2000-01-05 | Ericsson Telefon Ab L M | Method for determining a value representing a variation between a measurable quantity and a measurable reference quantity |
US6496795B1 (en) * | 1999-05-05 | 2002-12-17 | Microsoft Corporation | Modulated complex lapped transform for integrated signal enhancement and coding |
US6127863A (en) * | 1999-03-31 | 2000-10-03 | Cisco Systems, Inc. | Efficient fractional divider |
KR100701648B1 (en) | 1999-04-29 | 2007-04-02 | 펠턴 월터 이 | Discrete Fourier Transformation Calculation |
US6735610B1 (en) * | 1999-04-29 | 2004-05-11 | Walter E. Pelton | Apparatus, methods, and computer program products for determining the coefficients of a function with decreased latency |
-
2001
- 2001-06-11 WO PCT/US2001/018770 patent/WO2001095142A2/en active Application Filing
- 2001-06-11 AU AU2001268309A patent/AU2001268309A1/en not_active Abandoned
- 2001-06-11 US US09/878,784 patent/US6820104B2/en not_active Expired - Fee Related
- 2001-12-06 TW TW090130263A patent/TW544594B/en not_active IP Right Cessation
-
2004
- 2004-10-22 US US10/971,568 patent/US20050144208A1/en not_active Abandoned
-
2006
- 2006-02-03 US US11/347,676 patent/US20060206553A1/en not_active Abandoned
Also Published As
Publication number | Publication date |
---|---|
US20060206553A1 (en) | 2006-09-14 |
WO2001095142A2 (en) | 2001-12-13 |
US20050144208A1 (en) | 2005-06-30 |
US20020038326A1 (en) | 2002-03-28 |
WO2001095142A3 (en) | 2003-05-22 |
US6820104B2 (en) | 2004-11-16 |
TW544594B (en) | 2003-08-01 |
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