Hi,
Few days ago I read one old book: Economic Cycles: There Law and Heal From Henry Ludwell Moore (Publicly available on the Net ). Moore in his book used Harmonic Analysis (Fourier Series) to ascertain the dominant cycle in Ohio Valley rainfall data. Moore utilizes 72 years (1839-1910) of Ohio valley rainfall data to forecast the future trend of rainfall in that region. Moore shares rainfall data and formulation for calculating coefficients. He then shares final values following calculation and plots a chart of those values.
Moore writes that his results have been based on creation of Joseph Fourier, but the perfection of Fourier's egy is possible due to work with Professor Arthur Schuster. After hunting about Arthur Schuster I found he's well-known for Periodogram Analysis. Then, I started reading about Periodogram Analysis, but because of my lack of understanding of higher math I am unable to loe the right way forward and thus decided to ask for assistance.
Moore calculated coefficient values for 3 to 36 cycle lengths. After applying the formula I am getting right values for bicycles which completely split 72, for example 3, 4, 6, 8, 9, 12, 18, 24 and 36. For all other cycles, with an exclusion of 5, I am getting erroneous values.
I am minding the excel sheet with all the pertinent data. Formula is figured in the sheet. I am also attaching the ebook'Economic Cycles: There Legislation and Heal From Henry Ludwell Moore'. The rainfall data and periodogram values are given in page 32 and 33 of the book. Chapter two of the book (page 6 to 36) deals with calculation procedure. If someone who is great in math or possess an understanding of the method can be kind enough to help me in this, I would be genuinely grateful. I really don't need to compute specific values, but even if closure values are calculated that's enough.
Thanks for reading
https://www.cliqforex.com/attachment...207802016.xlsx
https://www.cliqforex.com/attachment...1462919107.pdf