A bank of band-pass filters

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Presentation transcript:

A bank of band-pass filters

par(mfrow=c(5,1)) junk<-scan("2003/bymonths"); taxis<-1903+c(1:1080)/12 plot(taxis,junk,main="Amazon Monthly Means",xlab="Amazon Monthly Means",ylab="about mean level",type="l",las=1,ylim=c(min(junk),max(junk))) junkl<-length(junk); junk<-junk-mean(junk) junk1<-c(spec.taper(junk),rep(0,2048-junkl)) junk2<-fft(junk1); OMEGA<-.25*pi junkf<-2*pi*c(0:2047)/2048; junk3<-junk2 junk3[junkf>OMEGA&junkf<2*pi-OMEGA]<-0 junk4<-fft(junk3,inv=T)/2048 plot(taxis,Re(junk4[1:junkl]),main="0 < freq < .25pi",xlab="year",ylab="",type="l",las=1,ylim=c(min(junk),max(junk))) junk3<-junk2 junk3[junkf>2*OMEGA&junkf<2*pi-2*OMEGA]<-0 junk3[junkf<OMEGA|junkf>2*pi-OMEGA]<-0 CONTINUES

plot(taxis,Re(junk4[1:junkl]),main=" plot(taxis,Re(junk4[1:junkl]),main=".25 pi < freq pi",xlab="year",ylab="",type="l",las=1,ylim=c(min(junk),max(junk))) junk3<-junk2 junk3[junkf>3*OMEGA&junkf<2*pi-3*OMEGA]<-0 junk3[junkf<2*OMEGA|junkf>2*pi-2*OMEGA]<-0 junk4<-fft(junk3,inv=T)/2048 plot(taxis,Re(junk4[1:junkl]),main=".5 pi < freq < pi",xlab="year",ylab="",type="l",las=1,ylim=c(min(junk),max(junk))) junk3[junkf<3*OMEGA|junkf>2*pi-3*OMEGA]<-0 plot(taxis,Re(junk4[1:junkl]),main=".75 pi < freq pi",xlab="year",ylab="",type="l",las=1,ylim=c(min(junk),max(junk)))

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