<content> TIME DOMAIN FUNCTION </content>

3941c9d2-8aef-475c-acb3-c743f29c41c0 96 Reg Curry 3 1 true false 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

FFT TRANSFORM WORKING

TSTART 1 time :

MY CONVENTION

<content> TIME DOMAIN FUNCTION </content>

tmax 1106 -^* :

tmin 1109 -^* :

Nt 104^:

Δt tmax tmin - Nt / :

Δt 9.990 1011 -^*

k 1 Nt range :

Nt 1104^*

t k el k Δt * :

t min 9.990 1011 -^*

t max 9.990 107 -^*

Nt k length :

E.o 5105^* :

α 4106^* :

β 480106^* :

t.o β α / ln β α - / :

t.o 1.0058 108 -^*

Norm α t.o * - exp β t.o * - exp - :

Norm 0.9526

EE k el E.o Norm / e α t k el * -^e β t k el * -^- (* :

EE max 5105^*

EE min 9.652 103^*

tplot t EE augment eval :

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tplot <content> FREQUENCY DOMAIN FUNCTION </content>

fmax 109^:

fmin 102^:

Δf 1104^* :

Nf fmax fmin - Δf / : 1.000 105^*

n 1 Nf range :

f n el n 1 ≡ 102 -^n Δf * if :

ω n el 2 π * f n el * :

n 1 f length range :

Nf f length :

Nf 1105^*

f min 1.000 102 -^*

f max 1.000 109^*

Eω n el E.o Norm / 1 α i ω n el (* - / 1 β i ω n el (* - / - (* Nf * Δf * :

REω n el Eω n el Re abs :

REω max 1.301 108^*

REω min 1.169 103^*

Rplot f REω augment eval :

IEω n el Eω n el Im abs :

Iplot f IEω augment eval :

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Rplot Iplot 2 1 sys

DEVELOP IFFT TRANSFORM

FFT Eω ifft :

N FFT length :

N 1.000 105^*

j 1 N range :

Δt 9.990 1011 -^*

tt j el j Δt * :

FFT j el FFT j el abs :

FFT max 4.413 105^*

FFT min 6.507 102^*

Fplot tt FFT augment eval :

Eplot t EE augment eval :

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Fplot Eplot 2 1 sys

1 time TSTART - 336.97 s *

<content> END OF WORKSHEET </content>