C DFT OF PRODUCT OF CIRCULARLY WRAPPED LAG WINDOW AND AUTOCORRELATION C OF TAPERED SERIES C C NOTE THAT THIS DFT IS REAL-VALUED. IF WE MULTIPLY C THE NUMBERS IN THE RIGHT-HAND COLUMN BY 0.25 (WHICH C IS THE SAMPLING TIME FOR THE TIME SERIES), THEN C THE VALUES INDEXED BY k = 0, ..., 32 ARE THE C LAG WINDOW SPECTRAL ESTIMATES AT FREQUENCIES f_k = k/(64*0.25) = k/16 C (NOTE THAT THE NYQUIST FREQUENCY IS 1/(2*0.25) = 2). 0 2734.971787946201 1 2705.48124876397 2 2617.696232602186 3 2474.0523448506656 4 2279.6442602444263 5 2043.1231045051652 6 1776.96779380966 7 1496.743023926278 8 1219.3651457271526 9 960.7983429007936 10 733.8229466999263 11 546.4770923260782 12 401.5164405445621 13 296.8952579333378 14 226.99067250220764 15 184.16124455287672 16 160.2581590122476 17 147.8327101128348 18 140.9271768818132 19 135.4419192051551 20 129.1276251317215 21 121.27892230160847 22 112.2296564446408 23 102.7779796085187 24 93.68499251804064 25 85.37032186603221 26 77.86219791765052 27 70.96582681921996 28 64.53112409119421 29 58.669118096609054 30 53.803277057480045 31 50.53145006198497 32 49.37262534624233 33 50.531450061987016 34 53.80327705748232 35 58.66911809661087 36 64.53112409119603 37 70.96582681922177 38 77.86219791765166 39 85.37032186603255 40 93.68499251804121 41 102.77797960851944 42 112.22965644464114 43 121.27892230160819 44 129.12762513172117 45 135.4419192051547 46 140.92717688181233 47 147.8327101128334 48 160.25815901224755 49 184.16124455287806 50 226.99067250220858 51 296.89525793333854 52 401.5164405445628 53 546.477092326079 54 733.8229466999276 55 960.7983429007954 56 1219.3651457271544 57 1496.7430239262808 58 1776.9677938096638 59 2043.1231045051707 60 2279.6442602444317 61 2474.052344850671 62 2617.6962326021917 63 2705.4812487639765