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All you needed to know about MFCC

I found this excellent answer on Research Gate by Amir Poorjam. He has also provided his lecture notes at https://www.researchgate.net/profile/Amir-Hossein-Poorjam/post/Why_we_take_only_12-13_MFCC_coefficients_in_feature_extraction/attachment/5e29bb633843b093839ccbc1/AS%3A850528695238656%401579793251438/download/Mfccs.pdf. I found them to be excellent. Also have a look at this thesis and read the portions you like https://ir.canterbury.ac.nz/handle/10092/7561. I am attaching it here as well. Thesis of Tracy M Clark Wayback Machine Link