# 0.1 N = 11 winograd fft module

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A very efficient length N = 11 FFT module that can be use alone or with the PFA or the WFTA. Designed by Howard Johnson in 1981.

## N=11 fft module

A FORTRAN implementation of a length-11 FFT module to be used in a Prime Factor Algorithm program.

```C DATA C111,C112 / 1.10000000, 0.33166250 /DATA C113,C114 / 0.51541500, 0.94125350 / DATA C115,C116 / 1.41435370, 0.85949300 /DATA C117,C118 / 0.04231480, 0.38639280 / DATA C119,C1110/ 0.51254590, 1.07027569 /DATA C1111,C1112/ 0.55486070, 1.24129440 / DATA C1113,C1114/ 0.20897830, 0.37415717 /DATA C1115,C1116/ 0.04992992, 0.65815896 / DATA C1117,C1118/ 0.63306543, 1.08224607 /DATA C1119,C1120/ 0.81720738, 0.42408709 / CC-----------------WFTA N=11---------------------------- C111 T1 = X(I(2)) + X(I(11)) T6 = X(I(2)) - X(I(11))T2 = X(I(3)) + X(I(10)) T7 = X(I(3)) - X(I(10))T3 = X(I(4)) + X(I(9)) T8 = X(I(4)) - X(I(9))T4 = X(I(5)) + X(I(8)) T9 = X(I(5)) - X(I(8))T5 = X(I(6)) + X(I(7)) T10= X(I(6)) - X(I(7))C U1 = Y(I(2)) + Y(I(11))U6 = Y(I(2)) - Y(I(11)) U2 = Y(I(3)) + Y(I(10))U7 = Y(I(3)) - Y(I(10)) U3 = Y(I(4)) + Y(I(9))U8 = Y(I(4)) - Y(I(9)) U4 = Y(I(5)) + Y(I(8))U9 = Y(I(5)) - Y(I(8)) U5 = Y(I(6)) + Y(I(7))U10= Y(I(6)) - Y(I(7)) CT11 = T1 + T2 T12 = T3 + T5T13 = T4 + T11 + T12 T14 = T7 - T8T15 = T6 + T10 CU11 = U1 + U2 U12 = U3 + U5U13 = U4 + U11 + U12 U14 = U7 - U8U15 = U6 + U10 CAM0 = X(I(1)) + T13 AM2 = (T14 - T15 - T9) * C112AM3 = (T2 - T4) * C113 AM4 = (T1 - T4) * C114AM5 = (T2 - T1) * C115 AM6 = (T5 - T4) * C116AM7 = (T3 - T4) * C117 AM8 = (T5 - T3) * C118AM11 = (T12 - T11) * C1111 AM14 = (T6 + T7) * C1114AM17 = (T8 - T10) * C1117 AM20 = (T14 + T15) * C1120C AN0 = Y(I(1)) + U13AN2 = (U14 - U15 - U9) * C112 AN3 = (U2 - U4) * C113AN4 = (U1 - U4) * C114 AN5 = (U2 - U1) * C115AN6 = (U5 - U4) * C116 AN7 = (U3 - U4) * C117AN8 = (U5 - U3) * C118 AN11 = (U12 - U11) * C1111AN14 = (U6 + U7) * C1114 AN17 = (U8 - U10) * C1117AN20 = (U14 + U15) * C1120 CS0 = AM0 - C111 * T13 S7 = AM11 + C1110 * (T1 - T3)S8 = AM11 + (T2 - T5) * C119 S9 = AM14 + (T6 - T9) * C1113S10 =-AM14 + (T7 + T9) * C1112 S11 = AM17 + (T8 - T9) * C1116S12 =-AM17 + (T9 - T10) * C1115 S13 = AM20 + (T6 - T8) * C1119S14 =-AM20 + (T7 + T10) * C1118 CV0 = AN0 - C111 * U13 V7 = AN11 + C1110 * (U1 - U3)V8 = AN11 + (U2 - U5) * C119 V9 = AN14 + (U6 - U9) * C1113V10 =-AN14 + (U7 + U9) * C1112 V11 = AN17 + (U8 - U9) * C1116V12 =-AN17 + (U9 - U10) * C1115 V13 = AN20 + (U6 - U8) * C1119V14 =-AN20 + (U7 + U10) * C1118 CS15 = S0 + S7 + AM7 + AM8 S16 = S0 - S7 - AM4 - AM5S17 = S0 + S8 + AM6 - AM8 S18 = S0 - S8 - AM3 + AM5S19 = S0 + AM3 + AM4 - AM6 - AM7 S20 = S13 + AM2 + S11S21 = S13 - AM2 - S9 S22 = S14 + AM2 + S12S23 = S14 - AM2 - S10 S24 = S9 + S10 + S11 + S12 - AM2C V15 = V0 + V7 + AN7 + AN8V16 = V0 - V7 - AN4 - AN5 V17 = V0 + V8 + AN6 - AN8V18 = V0 - V8 - AN3 + AN5 V19 = V0 + AN3 + AN4 - AN6 - AN7V20 = V13 + AN2 + V11 V21 = V13 - AN2 - V9V22 = V14 + AN2 + V12 V23 = V14 - AN2 - V10V24 = V9 + V10 + V11 + V12 - AN2 CX(I(1)) = AM0 X(I(2)) = S19 + V24X(I(3)) = S15 + V20 X(I(4)) = S16 + V21X(I(5)) = S17 - V22 X(I(6)) = S18 + V23X(I(7)) = S18 - V23 X(I(8)) = S17 + V22X(I(9)) = S16 - V21 X(I(10))= S15 - V20X(I(11))= S19 - V24 CY(I(1)) = AN0 Y(I(2)) = V19 - S24Y(I(3)) = V15 - S20 Y(I(4)) = V16 - S21Y(I(5)) = V17 + S22 Y(I(6)) = V18 - S23Y(I(7)) = V18 + S23 Y(I(8)) = V17 - S22Y(I(9)) = V16 + S21 Y(I(10))= V15 + S20Y(I(11))= V19 + S24 CGOTO 20 CFigure. Length-11 FFT Module```

what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
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What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
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how nano science is used for hydrophobicity
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Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
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Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
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Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
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Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
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How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
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what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
how did you get the value of 2000N.What calculations are needed to arrive at it
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