{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 28 " S. Durkin - Physics 517/6 17" }}{PARA 0 "" 0 "" {TEXT -1 60 "Convert from a scope trace (time) i nto frequency space using" }}{PARA 0 "" 0 "" {TEXT -1 30 "Fast Fourier Transform (FFT). " }}{PARA 0 "" 0 "" {TEXT -1 32 "For a description o f an FFT see:" }}{PARA 0 "" 0 "" {TEXT -1 55 "http://en.wikipedia.org/ wiki/Discrete_Fourier_transform" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 18 "Capturing a Trace:" }}{PARA 0 "" 0 "" {TEXT -1 96 "To look at radio station frequencies the time/division sh ould be set to 50 microsecond/division." }}{PARA 0 "" 0 "" {TEXT -1 88 "To look at sound frequencies the time/division should be set to 5 \+ milliseconds/division." }}{PARA 0 "" 0 "" {TEXT -1 31 "Save trace as a file trace.dat." }}{PARA 0 "" 0 "" {TEXT -1 67 "To run this script st art at the first > line and hit cr until done." }}{PARA 0 "" 0 "" {TEXT -1 83 "A file fft.dat will be generated with frequency (Hz) vs \+ amplitude (volts) printed." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "fp:=fopen(\"c:/FFT/tempy.dat\",WRITE);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#fpG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "for i from 0 to 2047 do fprintf(fp,\"%+08.5f\\n\",evalf(0)) end do :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "fclose(fp);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "t:=array(1..2048,1..2048);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"tG-%&arrayG6%;\"\"\"\"%[?F(7\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "fd:=fopen(\"C:/FFT/trace. txt\",READ);t:=readdata(fd,2):fclose(fd);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#fdG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "fd:=fopen(\"C:/FFT/tempy.dat\",READ);y:=readdata(fd,1):fclose(fd): " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#fdG\"\"!" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 15 "with(inttrans);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7/%)addtableG%(fourierG%+fouriercosG%+fouriersinG%'hankelG%(hilb ertG%+invfourierG%+invhilbertG%+invlaplaceG%*invmellinG%(laplaceG%'mel linG%*savetableG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "ax:=arr ay(1..2048);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#axG-%&arrayG6$;\"\" \"\"%[?7\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "for i from 1 \+ to 2048 do ax[i]:=t[i,2] end do:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "ay:=array(y):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "FFT(11,ax,ay);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"%[?" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "T:=t[2049,1]-t[1,1];" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG$\"%'4%!\"(" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 30 "fp:=fopen(\"c:/fft.dat\",WRITE);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#fpG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "for i from 1 to 1024 do fprintf(fp,\"%+09.0f %+08.5f \\n\",evalf((i-1)/T),sqrt(ax[i]**2+ay[i]**2)/128.) end do:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "fclose(fp):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "l:=[[(k-1)/T,sqrt(ax[k]**2+ay[k]**2)/1024.0] $k=1..10 24]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "p1:=plot(l,style=li ne,color=red):p2:=plot(l,style=point,color=black):plots[display](\{p1 \});" }}{PARA 0 "" 0 "" {TEXT -1 87 " \+ amplitude (V) vs frequency(Hz)" }}{PARA 13 "" 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