# Determination of periodicity in data and finding mean

I have to find whether there is any pattern (I mean periodicity or close to periodicity) and if there is, for one cycle i have to perform numerical integration to determine mean. In the first picture I have done moving average(every 254 data points) using excel. Then in the next picture i have done again moving average(with 250 points) using the data got after performing first moving average. I have also thought about doing Fourier transform. These datas are values of cl (lift co-efficient) vs time in a unsteady solution of CFD simulation.Variation of values at initial time steps are not significant as some time is needed for simulation to give exact value. DATA file is here (drive.google.com/open?id=0B1KEir1gFkaMQW5GbmFoZlpRUVk)

$$Corr = ifft(fft(x) fft(x)^*)$$
Where $fft(x)^*$ is the complex conjugate (if you signal is complex).
{"ft_lang_label":"__label__en","ft_lang_prob":0.9073818,"math_prob":0.97215796,"size":739,"snap":"2020-45-2020-50","text_gpt3_token_len":170,"char_repetition_ratio":0.10612245,"word_repetition_ratio":0.0,"special_character_ratio":0.202977,"punctuation_ratio":0.0729927,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.990362,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,5,null,5,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-29T08:52:47Z\",\"WARC-Record-ID\":\"<urn:uuid:afd029e6-8773-438d-a01c-9625659c9463>\",\"Content-Length\":\"151384\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:44dc3c07-7a7d-4fc5-963b-da75e4e5ba9d>\",\"WARC-Concurrent-To\":\"<urn:uuid:2e4b672a-db21-4f9e-b336-903be7da0378>\",\"WARC-IP-Address\":\"151.101.1.69\",\"WARC-Target-URI\":\"https://dsp.stackexchange.com/questions/38305/determination-of-periodicity-in-data-and-finding-mean/38309\",\"WARC-Payload-Digest\":\"sha1:JD244REJZGXHOHKERV2QZVTYOLTAXAM3\",\"WARC-Block-Digest\":\"sha1:WQAFEH7AJE57TNIQDYFQZCD7YTKAL63G\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107903419.77_warc_CC-MAIN-20201029065424-20201029095424-00684.warc.gz\"}"}