dwavelet3.mws

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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "#------------Daubec
hies Wavelet Transform --------" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "
#Original C program was developed by" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 38 "#Univercity of Califonia at San Diego," }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 60 "#Prof. Ph. D Hidenori Murakami and Ph. D Thomas J. Im
pellus." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "#Transrate to Maple by A
lucard." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "Deqs:=\{p1+p2+p3+p4=2,-p1+p2
-p3+p4=0,p1*p3+p2*p4=0,p2-2*p3+3*p4=0\};" }}{PARA 11 "" 1 "" {XPPMATH 
20 "<&/,*I#p1G6\"\"\"\"I#p2GF&F'I#p3GF&F'I#p4GF&F'\"\"#/,*F%!\"\"F(F'F
)F.F*F'\"\"!/,(F(F'F)!\"#F*\"\"$F//,&*&F%F'F)F'F'*&F(F'F*F'F'F/" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 110 "### WARNING: allvalues now \+
returns a list of symbolic values instead of a sequence of lists of nu
meric values\n" }{MPLTEXT 1 0 110 "### WARNING: allvalues now returns \+
a list of symbolic values instead of a sequence of lists of numeric va
lues\n" }{MPLTEXT 1 0 41 "s0:=allvalues(solve(Deqs,\{p1,p2,p3,p4\}));"
 }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<&/I#p1G6\",&#\"\"\"\"\"%F)*$\"\"$#
F)\"\"##!\"\"F*/I#p4GF&,&F(F)F+F(/I#p3GF&,&#F,F*F)F+F(/I#p2GF&,&F7F)F+
F/<&/F5F:/F9F6/F%F3/F2F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 
"#Wavelet Transform Coefficients" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 71 
"h:=[(1+sqrt(3))/4,(3+sqrt(3))/4,(3-sqrt(3))/4,(1-sqrt(3))/4]/sqrt(2.0
):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "N:=512:" }}}{EXCHG {PARA 0 "> 
" 0 "" {MPLTEXT 1 0 38 "#--------WT & IWT---------------------" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "# WT  isig=1" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "# IWT isig=-1" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "#
N: number of data 2^n <=  512" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "#-
------------------------------------" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 16 "WT:=proc(n,isig)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "global si
gnal,h:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "local i,j,nh,in_dat:" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#print(h);" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 39 "if n <4 then ERROR(`ERROR n < 4` ); fi:" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 8 "nh:=n/2;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 
"#------------- WT -----------------------" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 "if isig > 0 then " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
6 "i:=1; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "for j from 1 to n-1 by
 2 do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "in_dat[i]:=h[1]*signal[j]+
h[2]*signal[j+1]+h[3]*signal[j+2]+h[4]*signal[j+3]:" }}{PARA 0 "> " 0 
"" {MPLTEXT 1 0 80 "in_dat[i+nh]:=h[4]*signal[j]-h[3]*signal[j+1]+h[2]
*signal[j+2]-h[1]*signal[j+3]:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "i:
=i+1;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 73 "in_dat[i]:=h[1]*signal[n-1]+h[2]*signal[n]+h[3]*signa
l[1]*h[4]*signal[2];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 76 "in_dat[i+nh
]:=h[4]*signal[n-1]-h[3]*signal[n]+h[2]*signal[1]-h[1]*signal[2];" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "for i from 1 to n do" }}{PARA 0 "> 
" 0 "" {MPLTEXT 1 0 28 "signal[i]:=evalf(in_dat[i]);" }}{PARA 0 "> " 0
 "" {MPLTEXT 1 0 3 "od:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "#-------
------------ IWT ------------------------" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 4 "else" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "in_dat[1]:=
h[3]*signal[nh]+h[2]*signal[n]+h[1]*signal[1]+h[4]*signal[nh+1];" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "in_dat[2]:=h[4]*signal[nh]-h[1]*sig
nal[n]+h[2]*signal[1]-h[1]*signal[nh+1];" }}{PARA 0 "> " 0 "" {MPLTEXT
 1 0 11 "i:=1; j:=3;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "for i from \+
1 to nh+1 do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "in_dat[j]:=h[3]*sig
nal[i]+h[2]*signal[i+nh]+h[1]*signal[i+1]+h[4]*signal[i+nh+1];" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "j:=j+1;" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 81 "in_dat[j]:=h[4]*signal[i]-h[1]*signal[i+nh]+h[2]*sign
al[i+1]-h[1]*signal[i+nh+1];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "j:=j
+1; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "for i from 1 to n do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 28 "signal[i]:=evalf(in_dat[i]);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
3 "od:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "fi:" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "#--
----------Plot result ----------------------" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "PLOT_DAT:=proc(S,N)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 13 "local data,i:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "data:=NULL:"
 }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "data:=[seq([i,S[i]],i=1..N)];" }
}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "plot(data);" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "#--
-------------Data set up --------------------" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 23 "for i  from 1 to N+3 do" }}{PARA 0 "> " 0 "" {MPLTEXT
 1 0 86 "#if i<200 then signal[i]:=evalf(sin(i*Pi/10)) else signal[i]:
=evalf(sin(i*Pi/30)); fi:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "#signa
l[i]:=evalf(sin((i/800)*(i-1)*Pi/10)):" }}{PARA 0 "> " 0 "" {MPLTEXT 
1 0 48 "if i=1 then signal[i]:=1 else signal[i]:=0; fi:;" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 3 "od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
63 "#----- Draw Daubchies' Scaling Function, when only signal[1]=1 " }
}{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "i:=8:" }}{PARA 0 "> " 0 "" {MPLTEXT
 1 0 16 "while i < 513 do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "WT(i,-1
):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "i:=i*2:" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "PLOT
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