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Freescale Semiconductor, Inc.
FFT-Based Algorithm for Metering Applications
This Application Note describes how to use Fast Fourier Transform (FFT) in metering applications, especially for power and energy computing in power meters
AN4255
arm
fft
butterfly
Fast Fourier Transform
metering
metrology
power meters
power computing
energy computing
Digital Signal Processing
DFT
smart metering
power computation
energy computation
RMS computation
complex power
voice recognition
Kinetis M
Kinetis K
ColdFire V1
ARM Cortex M4
ARM Cortex M0+
KM1
KM3
KM1x
KM3x
K40
K4x
Application note
guidelines
Kinetis
microcontroller
MCU
2002-06-05T13:57:06Z
FrameMaker 7.2
2015-07-27T12:44:38+05:30
2015-07-27T12:44:38+05:30
Acrobat Distiller 11.0 (Windows)
2008
AN4255, arm, fft, butterfly, Fast Fourier Transform, metering, metrology, power meters, power computing, energy computing, Digital Signal Processing, DFT, smart metering, power computation, energy computation, RMS computation, complex power, voice recognition, Kinetis M, Kinetis K, ColdFire V1, ARM Cortex M4, ARM Cortex M0+, KM1, KM3, KM1x, KM3x, K40, K4x, Application note, guidelines, Kinetis, microcontroller, MCU
2008
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endobj
30 0 obj
<<
/Limits [(G376154) (G376356)]
/Names [(G376154) 674 0 R (G376156) 675 0 R (G376159) 676 0 R (G376164) 677 0 R (G376165) 678 0 R
(G376166) 679 0 R (G376167) 680 0 R (G376168) 681 0 R (G376169) 682 0 R (G376170) 683 0 R
(G376171) 684 0 R (G376174) 685 0 R (G376182) 686 0 R (G376184) 687 0 R (G376186) 688 0 R
(G376188) 689 0 R (G376190) 690 0 R (G376192) 691 0 R (G376194) 692 0 R (G376196) 693 0 R
(G376198) 694 0 R (G376200) 695 0 R (G376202) 696 0 R (G376204) 697 0 R (G376206) 698 0 R
(G376208) 699 0 R (G376210) 700 0 R (G376212) 701 0 R (G376214) 702 0 R (G376216) 703 0 R
(G376218) 704 0 R (G376220) 705 0 R (G376221) 706 0 R (G376222) 707 0 R (G376223) 708 0 R
(G376224) 709 0 R (G376225) 710 0 R (G376300) 711 0 R (G376302) 712 0 R (G376305) 713 0 R
(G376310) 714 0 R (G376311) 715 0 R (G376312) 716 0 R (G376313) 717 0 R (G376314) 718 0 R
(G376315) 719 0 R (G376316) 720 0 R (G376317) 721 0 R (G376320) 722 0 R (G376328) 723 0 R
(G376330) 724 0 R (G376332) 725 0 R (G376334) 726 0 R (G376336) 727 0 R (G376338) 728 0 R
(G376340) 729 0 R (G376342) 730 0 R (G376344) 731 0 R (G376346) 732 0 R (G376348) 733 0 R
(G376350) 734 0 R (G376352) 735 0 R (G376354) 736 0 R (G376356) 737 0 R]
>>
endobj
31 0 obj
<<
/Limits [(G376358) (G376627)]
/Names [(G376358) 738 0 R (G376360) 739 0 R (G376362) 740 0 R (G376364) 741 0 R (G376366) 742 0 R
(G376367) 743 0 R (G376368) 744 0 R (G376369) 745 0 R (G376370) 746 0 R (G376371) 747 0 R
(G376446) 748 0 R (G376448) 749 0 R (G376459) 750 0 R (G376460) 751 0 R (G376461) 752 0 R
(G376462) 753 0 R (G376463) 754 0 R (G376464) 755 0 R (G376465) 756 0 R (G376466) 757 0 R
(G376469) 758 0 R (G376477) 759 0 R (G376479) 760 0 R (G376481) 761 0 R (G376483) 762 0 R
(G376485) 763 0 R (G376487) 764 0 R (G376489) 765 0 R (G376491) 766 0 R (G376493) 767 0 R
(G376495) 768 0 R (G376497) 769 0 R (G376499) 770 0 R (G376501) 771 0 R (G376503) 772 0 R
(G376505) 773 0 R (G376507) 774 0 R (G376509) 775 0 R (G376511) 776 0 R (G376513) 777 0 R
(G376515) 778 0 R (G376517) 779 0 R (G376519) 780 0 R (G376521) 781 0 R (G376523) 782 0 R
(G376525) 783 0 R (G376527) 784 0 R (G376529) 785 0 R (G376531) 786 0 R (G376533) 787 0 R
(G376535) 788 0 R (G376537) 789 0 R (G376539) 790 0 R (G376540) 791 0 R (G376541) 792 0 R
(G376542) 793 0 R (G376543) 794 0 R (G376544) 795 0 R (G376616) 796 0 R (G376617) 797 0 R
(G376618) 798 0 R (G376619) 799 0 R (G376626) 800 0 R (G376627) 801 0 R]
>>
endobj
32 0 obj
<<
/Limits [(G376628) (G376825)]
/Names [(G376628) 802 0 R (G376629) 803 0 R (G376630) 804 0 R (G376631) 805 0 R (G376632) 806 0 R
(G376633) 807 0 R (G376636) 808 0 R (G376644) 809 0 R (G376646) 810 0 R (G376648) 811 0 R
(G376650) 812 0 R (G376652) 813 0 R (G376654) 814 0 R (G376656) 815 0 R (G376658) 816 0 R
(G376660) 817 0 R (G376662) 818 0 R (G376664) 819 0 R (G376666) 820 0 R (G376668) 821 0 R
(G376670) 822 0 R (G376672) 823 0 R (G376674) 824 0 R (G376676) 825 0 R (G376678) 826 0 R
(G376680) 827 0 R (G376682) 828 0 R (G376684) 829 0 R (G376686) 830 0 R (G376688) 831 0 R
(G376690) 832 0 R (G376692) 833 0 R (G376694) 834 0 R (G376696) 835 0 R (G376698) 836 0 R
(G376700) 837 0 R (G376702) 838 0 R (G376704) 839 0 R (G376706) 840 0 R (G376708) 841 0 R
(G376710) 842 0 R (G376712) 843 0 R (G376714) 844 0 R (G376715) 845 0 R (G376716) 846 0 R
(G376717) 847 0 R (G376718) 848 0 R (G376721) 849 0 R (G376794) 850 0 R (G376796) 851 0 R
(G376797) 852 0 R (G376798) 853 0 R (G376799) 854 0 R (G376800) 855 0 R (G376801) 856 0 R
(G376802) 857 0 R (G376805) 858 0 R (G376813) 859 0 R (G376815) 860 0 R (G376817) 861 0 R
(G376819) 862 0 R (G376821) 863 0 R (G376823) 864 0 R (G376825) 865 0 R]
>>
endobj
33 0 obj
<<
/Limits [(G376827) (G377100)]
/Names [(G376827) 866 0 R (G376829) 867 0 R (G376831) 868 0 R (G376833) 869 0 R (G376835) 870 0 R
(G376837) 871 0 R (G376839) 872 0 R (G376841) 873 0 R (G376843) 874 0 R (G376845) 875 0 R
(G376847) 876 0 R (G376849) 877 0 R (G376854) 878 0 R (G376856) 879 0 R (G376858) 880 0 R
(G376860) 881 0 R (G376865) 882 0 R (G376867) 883 0 R (G376869) 884 0 R (G376871) 885 0 R
(G376876) 886 0 R (G376878) 887 0 R (G376880) 888 0 R (G376882) 889 0 R (G376887) 890 0 R
(G376889) 891 0 R (G376891) 892 0 R (G376893) 893 0 R (G376898) 894 0 R (G376929) 895 0 R
(G376999) 896 0 R (G377000) 897 0 R (G377001) 898 0 R (G377002) 899 0 R (G377003) 900 0 R
(G377004) 901 0 R (G377046) 902 0 R (G377047) 903 0 R (G377048) 904 0 R (G377049) 905 0 R
(G377050) 906 0 R (G377051) 907 0 R (G377052) 908 0 R (G377053) 909 0 R (G377056) 910 0 R
(G377064) 911 0 R (G377066) 912 0 R (G377068) 913 0 R (G377070) 914 0 R (G377072) 915 0 R
(G377074) 916 0 R (G377076) 917 0 R (G377078) 918 0 R (G377080) 919 0 R (G377082) 920 0 R
(G377084) 921 0 R (G377086) 922 0 R (G377088) 923 0 R (G377090) 924 0 R (G377092) 925 0 R
(G377094) 926 0 R (G377096) 927 0 R (G377098) 928 0 R (G377100) 929 0 R]
>>
endobj
34 0 obj
<<
/Limits [(G377105) (G377403)]
/Names [(G377105) 930 0 R (G377107) 931 0 R (G377109) 932 0 R (G377111) 933 0 R (G377116) 934 0 R
(G377118) 935 0 R (G377120) 936 0 R (G377122) 937 0 R (G377124) 938 0 R (G377125) 939 0 R
(G377129) 940 0 R (G377131) 941 0 R (G377133) 942 0 R (G377135) 943 0 R (G377137) 944 0 R
(G377139) 945 0 R (G377141) 946 0 R (G377143) 947 0 R (G377144) 948 0 R (G377145) 949 0 R
(G377147) 950 0 R (G377148) 951 0 R (G377149) 952 0 R (G377150) 953 0 R (G377252) 954 0 R
(G377254) 955 0 R (G377255) 956 0 R (G377256) 957 0 R (G377257) 958 0 R (G377262) 959 0 R
(G377270) 960 0 R (G377272) 961 0 R (G377274) 962 0 R (G377276) 963 0 R (G377278) 964 0 R
(G377280) 965 0 R (G377282) 966 0 R (G377284) 967 0 R (G377286) 968 0 R (G377288) 969 0 R
(G377290) 970 0 R (G377292) 971 0 R (G377294) 972 0 R (G377296) 973 0 R (G377298) 974 0 R
(G377300) 975 0 R (G377302) 976 0 R (G377304) 977 0 R (G377306) 978 0 R (G377308) 979 0 R
(G377310) 980 0 R (G377312) 981 0 R (G377314) 982 0 R (G377316) 983 0 R (G377350) 984 0 R
(G377351) 985 0 R (G377352) 986 0 R (G377353) 987 0 R (G377354) 988 0 R (G377355) 989 0 R
(G377397) 990 0 R (G377398) 991 0 R (G377399) 992 0 R (G377403) 993 0 R]
>>
endobj
35 0 obj
<<
/Limits [(G377404) (G378610)]
/Names [(G377404) 994 0 R (G377405) 995 0 R (G377408) 996 0 R (G377416) 997 0 R (G377418) 998 0 R
(G377420) 999 0 R (G377422) 1000 0 R (G377424) 1001 0 R (G377425) 1002 0 R (G377426) 1003 0 R
(G377428) 1004 0 R (G377430) 1005 0 R (G377434) 1006 0 R (G377436) 1007 0 R (G377438) 1008 0 R
(G377440) 1009 0 R (G377442) 1010 0 R (G377444) 1011 0 R (G377446) 1012 0 R (G377450) 1013 0 R
(G377452) 1014 0 R (G377454) 1015 0 R (G377458) 1016 0 R (G377460) 1017 0 R (G377462) 1018 0 R
(G377465) 1019 0 R (G377466) 1020 0 R (G377467) 1021 0 R (G377468) 1022 0 R (G377469) 1023 0 R
(G377492) 1024 0 R (G377493) 1025 0 R (G377494) 1026 0 R (G377495) 1027 0 R (G377496) 1028 0 R
(G377497) 1029 0 R (G377498) 1030 0 R (G377516) 1031 0 R (G377518) 1032 0 R (G377520) 1033 0 R
(G377522) 1034 0 R (G377524) 1035 0 R (G377526) 1036 0 R (G377528) 1037 0 R (G377530) 1038 0 R
(G377535) 1039 0 R (G377537) 1040 0 R (G377539) 1041 0 R (G377544) 1042 0 R (G377548) 1043 0 R
(G377552) 1044 0 R (G377556) 1045 0 R (G377560) 1046 0 R (G377564) 1047 0 R (G377566) 1048 0 R
(G377571) 1049 0 R (G377944) 1050 0 R (G377964) 1051 0 R (G377980) 1052 0 R (G378031) 1053 0 R
(G378071) 1054 0 R (G378125) 1055 0 R (G378199) 1056 0 R (G378610) 1057 0 R]
>>
endobj
36 0 obj
<<
/Limits [(G378660) (G381700)]
/Names [(G378660) 1058 0 R (G378682) 1059 0 R (G378704) 1060 0 R (G378726) 1061 0 R (G378748) 1062 0 R
(G378770) 1063 0 R (G378816) 1064 0 R (G378838) 1065 0 R (G378884) 1066 0 R (G378906) 1067 0 R
(G379031) 1068 0 R (G379056) 1069 0 R (G379108) 1070 0 R (G379130) 1071 0 R (G379173) 1072 0 R
(G379198) 1073 0 R (G379391) 1074 0 R (G379394) 1075 0 R (G379402) 1076 0 R (G379544) 1077 0 R
(G379545) 1078 0 R (G379677) 1079 0 R (G379821) 1080 0 R (G379837) 1081 0 R (G379839) 1082 0 R
(G379841) 1083 0 R (G379843) 1084 0 R (G379845) 1085 0 R (G379847) 1086 0 R (G379857) 1087 0 R
(G379897) 1088 0 R (G379899) 1089 0 R (G379901) 1090 0 R (G379903) 1091 0 R (G379905) 1092 0 R
(G379907) 1093 0 R (G379909) 1094 0 R (G379911) 1095 0 R (G379941) 1096 0 R (G379957) 1097 0 R
(G379959) 1098 0 R (G379961) 1099 0 R (G379965) 1100 0 R (G380016) 1101 0 R (G380038) 1102 0 R
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(G380771) 1108 0 R (G380772) 1109 0 R (G380810) 1110 0 R (G380848) 1111 0 R (G381128) 1112 0 R
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(G381568) 1118 0 R (G381589) 1119 0 R (G381648) 1120 0 R (G381700) 1121 0 R]
>>
endobj
37 0 obj
<<
/Limits [(G381779) (G384743)]
/Names [(G381779) 1122 0 R (G381929) 1123 0 R (G382020) 1124 0 R (G382557) 1125 0 R (G382662) 1126 0 R
(G382908) 1127 0 R (G382978) 1128 0 R (G382983) 1129 0 R (G383059) 1130 0 R (G383203) 1131 0 R
(G383208) 1132 0 R (G383212) 1133 0 R (G383357) 1134 0 R (G383395) 1135 0 R (G383400) 1136 0 R
(G383401) 1137 0 R (G383404) 1138 0 R (G383408) 1139 0 R (G383422) 1140 0 R (G383439) 1141 0 R
(G383442) 1142 0 R (G383445) 1143 0 R (G383446) 1144 0 R (G383459) 1145 0 R (G383470) 1146 0 R
(G383485) 1147 0 R (G383537) 1148 0 R (G383584) 1149 0 R (G383628) 1150 0 R (G383630) 1151 0 R
(G383647) 1152 0 R (G383702) 1153 0 R (G383716) 1154 0 R (G383722) 1155 0 R (G383771) 1156 0 R
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(G384735) 1182 0 R (G384737) 1183 0 R (G384741) 1184 0 R (G384743) 1185 0 R]
>>
endobj
38 0 obj
<<
/Limits [(G384745) (G385423)]
/Names [(G384745) 1186 0 R (G384747) 1187 0 R (G384749) 1188 0 R (G384751) 1189 0 R (G384753) 1190 0 R
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(G384800) 1196 0 R (G384814) 1197 0 R (G384820) 1198 0 R (G384838) 1199 0 R (G384844) 1200 0 R
(G384850) 1201 0 R (G384851) 1202 0 R (G384855) 1203 0 R (G384856) 1204 0 R (G384870) 1205 0 R
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(G385394) 1246 0 R (G385396) 1247 0 R (G385416) 1248 0 R (G385423) 1249 0 R]
>>
endobj
39 0 obj
<<
/Limits [(G385640) (G386453)]
/Names [(G385640) 1250 0 R (G385642) 1251 0 R (G385707) 1252 0 R (G385756) 1253 0 R (G385761) 1254 0 R
(G385762) 1255 0 R (G385768) 1256 0 R (G385769) 1257 0 R (G385770) 1258 0 R (G385774) 1259 0 R
(G385783) 1260 0 R (G385784) 1261 0 R (G385799) 1262 0 R (G385801) 1263 0 R (G385803) 1264 0 R
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(G385831) 1270 0 R (G385838) 1271 0 R (G385842) 1272 0 R (G385846) 1273 0 R (G385847) 1274 0 R
(G385856) 1275 0 R (G385858) 1276 0 R (G385878) 1277 0 R (G385980) 1278 0 R (G385989) 1279 0 R
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(G386447) 1310 0 R (G386449) 1311 0 R (G386451) 1312 0 R (G386453) 1313 0 R]
>>
endobj
40 0 obj
<<
/Limits [(G386455) (G387020)]
/Names [(G386455) 1314 0 R (G386467) 1315 0 R (G386486) 1316 0 R (G386490) 1317 0 R (G386494) 1318 0 R
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(G387014) 1374 0 R (G387016) 1375 0 R (G387018) 1376 0 R (G387020) 1377 0 R]
>>
endobj
41 0 obj
<<
/Limits [(G387022) (G387337)]
/Names [(G387022) 1378 0 R (G387024) 1379 0 R (G387028) 1380 0 R (G387032) 1381 0 R (G387034) 1382 0 R
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(G387308) 1438 0 R (G387312) 1439 0 R (G387314) 1440 0 R (G387337) 1441 0 R]
>>
endobj
42 0 obj
<<
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