<p> h </p>

5f4bc511-3072-472c-a956-8bff27c8c46b 22 4 5 decimal

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

Infinite Pulse Generator

window N 48 :

symmetry around 0.5 s 0.5 :

specific ranged solve 'T' for  N = 48 T 1 T N * / N 2 / - 0 ≡ T 0.000867 0.000869 solve : 0.000868056

period p 1 T N * / :

sampling rate T T :

x ω f 0 x ≤ (1 x 1 T ω * / mod s 1 T ω * / * ≤ 1 - cases * :

recast the system x X1 x N f :

Unary creneau around 0 axis

x X1 p 2 p 2 - 2 2 mat N 2 N 2 - 2 2 mat 3 1 sys

∑n

p 24.000000

x X1 x 0 p 2 / int 11.996

===============================================

T 0.001 :

x ω f 0 x ≤ (1 x 1 T ω * / mod s 1 T ω * / * ≤ 1 - cases * :

N 50 :

recast the system x X1 x N f :

period p 1 T N * / :

h 1 0.0321 - 2 0.0515 - 3 0.0512 - 4 0.0386 - 5 0.0226 - 6 0.0089 - 7 0.0007 8 0.007 9 0.0122 10 0.0189 11 0.0292 12 0.0446 13 0.0654 14 0.0908 15 0.1178 16 0.1421 17 0.1586 18 0.1623 19 0.1498 20 0.1207 21 0.0782 22 0.0289 23 0.0188 - 24 0.0563 - 25 0.0769 - 26 0.0779 - 27 0.0609 - 28 0.0317 - 29 0.0016 30 0.0303 31 0.0477 32 0.0505 33 0.0397 34 0.0195 35 0.0036 - 36 0.0229 - 37 0.0337 - 38 0.0338 - 39 0.0245 - 40 0.0093 - 41 0.0068 42 0.0192 43 0.0246 44 0.0224 45 0.014 46 0.0025 47 0.0085 - 48 0.0158 - 49 0.0177 - 50 0.0143 - 51 0.007 - 52 0.0015 53 0.0086 54 0.0125 55 0.0123 56 0.0085 57 0.0026 58 0.0034 - 59 0.0078 - 60 0.0094 - 61 0.0081 - 62 0.0045 - 63 1.0179 105 -^* - 64 0.004 65 0.0064 66 0.0067 67 0.005 68 0.002 69 0.0013 - 70 0.0039 - 71 0.005 - 72 0.0045 - 73 0.0028 - 74 0.0004 - 75 0.0019 76 0.0033 77 0.0037 78 0.0029 79 0.0013 80 0.0004 - 81 0.0019 - 812 mat :

h h 2 col :

strip 5 :

x X1 N 2 N 2 - 2 2 mat p 2 p 2 - 2 2 mat 3 1 sys

j 1 strip range h j el 0 : for

Y1 t 181 range y1 t el t m - X1 h m el * m 181 sum eval : for 181 range y1 augment 21 line :

Does NOT quite sanity the low range ? Stripping in the low range is applied. The 'h' vector couldn't be reproduced from source "Butterworth" .

Y1 strip 1 strip 1 - 2 2 mat 2 1 sys

More user pulse ...

window N 48 :

symmetry around 0.5 s 0.05 :

Initialization of 'T' is specific wrt 'N' in this example T 1 T N * / N 2 / - 0 ≡ T 0.000867 0.000869 solve : 0.000868056

sampling rate T T :

period p 1 T N * / :

x ω f 0 x ≤ (1 x 1 T ω * / mod s 1 T ω * / * ≤ 0 cases * :

recast the system x X1 x N f :

x 050 0.1 range : j 1 x rows range pulse j el x j el X1 eval : for 21 line

Narrow pulse above 0 axis

x X1 p 2 p 2 - 2 2 mat N 2 N 2 - 2 2 mat 3 1 sys 0 50 0.1 range pulse augment

Stem construction over a data set data Stem stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - range V V stem j el stack : for V V data data rows row stack : 71 line :

vector 'impulse' for Fourier ...
'n' pulses separated 'n-1' n myPulse j 1 n range impulse n j * el j j / : 11 line for j 1 impulse rows range u j el j : for 21 line u impulse augment 21 line :

n 6 :

n myPulse 102030405061708090100110121130140150160170181190200210220230232 mat

n myPulse Stem