{"text_format":"1","workbook":"xlsx","n_sheets":1,"sheets":["ΗΚ"],"not_rendered":{"charts":5,"images":0,"macros":1,"external_links":1,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"ΗΚ","index":0,"n_rows":541,"n_cols":14,"rows_kept":541,"cut":false,"hidden":false,"merged":[[26,4,26,7],[26,8,26,9],[26,10,26,11],[26,12,26,13]]}
["Παράδειγμα κατασκευής φάσματος"]
["© Δ. Κουτσογιάννης, 2003-2017"]
[]
["Συναρτήσεις VBA  που χρησιμοποιούνται (υπάρχουν στο module Spectra2 στο παρόν λογιστικό φύλλο)"]
[null,"autocovartypical (στήλη C): υπολογίζει την αυτοσυνδιασπορά cη για την επιθυμητή τιμη της υστέρησης η"]
[null,"fft (στήλες F & G, range function): υπολογίζει τον Fast Fourier Transform των δεδομένων (το πλήθος τους πρέπει να είναι 2ν)"]
[null,"fftperiodogram (στήλες I & J, range function): Υπολογίζει το περιοδόγραμμα των δεδομένων (το πλήθος τους πρέπει να είναι 2ν)"]
[null,"fftpowspec (στήλες K & L καθώς και Μ & Ν, range function): Υπολογίζει το φάσμα ισχύος από τη διασπορά και 2ν συνδιασπορές (συνολικά 2ν + 1 αριθμούς)"]
[null,"Σημείωση: Αν στην κλήση των συναρτήσεων το πλήθος των αριθμών δεν είναι 2ν, τότε αντί της fft χρησιμοποιείται (αυτόματα) η συνάρτηση dft που είναι πολύ πιο αργή."]
[]
[]
[]
["Παράμετροι μοντέλου HK"]
["Θεωρητική μέση τιμή",null,null,null,null,100]
["Θεωρητική τυπική απόκλιση",null,null,null,null,20]
["Θεωρητική διασπορά",null,null,null,null,{"$f":"F15^2","v":400}]
["Συντελεστής Hurst",null,null,null,null,0.8]
["Μέγεθος δείγματος",null,null,null,null,{"$f":"COUNT(A29:A540)","v":512}]
[]
[]
["Χαρακτηριστικά δείγματος",null,null,null,null,null,"Χαρακτηριστικά περιοδογράμματος"]
["Μέση τιμή",{"$f":"AVERAGE(B29:B540)","v":98.258551335761652},{"$f":"B22^2","v":9654.7429106025083},null,null,null,"Σpk2 / n",{"$f":"(1/F18)*SUM(J30:J285)","v":413.33465627040493},null,null,"Άθροισμα",{"$f":"SUM(L29:L541)","v":423254.6839649516},"Άθροισμα",{"$f":"SUM(N29:N541)","v":436772.959307421}]
["Διασπορά",{"$f":"VARP(B29:B540)","v":413.33464834861843},null,null,null,null,"pn/22 / 2n",{"$f":"J285/2/F18","v":7.9218022646173802E-6},null,null,"Εμβαδό",{"$f":"(L22-(1/2)*(L29+L541))*(K30-K29)","v":413.33464834861923},"Εμβαδό",{"$f":"(N22-(1/2)*(N29+N541))*(M30-M29)","v":400.00000000000045}]
["Τυπ.απόκ.",{"$f":"B23^0.5","v":20.33063325006426},null,null,null,null,"Διαφορά",{"$f":"H22-H23","v":413.33464834860268}]
[]
[]
[null,"Δεδομένα (από  μοντέλο ΗΚ)","Εμπειρική αυτοσυσχέ-τιση","Θεωρητική αυτοσυσχέ-τιση","Διακριτός μετασχηματισμός Fourier (με FFT)",null,null,null,"Περιοδόγραμμα από δεδομένα",null,"Περιοδόγραμμα από αυτοσυνδιασπορές",null,"Θεωρητικό φάσμα ισχύος"]
["τ,η","xτ","^cη","cη","fk = k/n","vk","wk","pk2","fk","pk2","fk","s(fk)","fk","s(fk)"]
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