<< Chapter < Page Chapter >> Page >
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

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
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
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
what's the program
Jordan
?
Jordan
what chemical
Jordan
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Large dft modules: 11, 13, 16, 17, 19, and 25. revised ece technical report 8105. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col10569/1.7
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Large dft modules: 11, 13, 16, 17, 19, and 25. revised ece technical report 8105' conversation and receive update notifications?

Ask