{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {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 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 }3 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "" 0 257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT -1 57 "Spektrale Leistungsdichte eines einfachen Rechtecksignals " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT -1 103 "Di pl.- Ing. Bj\366rnstjerne Zindler, M.Sc. , Erstellt: 14. September 201 2 - Letzte Revision: 26. Juni 2014" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 " " 0 "" {TEXT 256 42 "Definition eines einfachen Rechtecksignals" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 182 "expr_1:=1/1*sin(2*Pi*tau):e xpr_2:=1/2*sin(6*Pi*tau):expr_3:=1/3*sin(10*Pi*tau):expr_sum:=expr_1+e xpr_2+expr_3:plot(expr_sum,tau=0..2,numpoints=2000,axes=boxed,thicknes s=2,color=red);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 257 58 "Definition eines zeitvarianten, e infachen Rechteckimpulses" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 136 "expr_1_t:=1/1*sin(2*Pi*(tau+t)):expr_2_t:=1/2*sin(6*Pi*(tau+t)):e xpr_3_t:=1/3*sin(10*Pi*(tau+t)):expr_t_sum:=expr_1_t+expr_2_t+expr_3_t :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 " " 0 "" {TEXT 258 60 "Berechnung der zeitlich limitierten Autokorrelati onsfunktion" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "AKF_unlim:=1 /(2*T)*int(expr_sum*expr_t_sum,tau=-T..+T):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 259 62 "Berechnu ng der zeitlich unlimitierten Autokorrelationsfunktion" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "AKF:=limit(AKF_unlim,T=infinity):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 260 75 "Berechnung der zeitlich limitierten Funktion der Spek tralen Leistungsdichte" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "S LD_unlim:=1/sqrt(2*Pi)*int(AKF*exp(-I*omega*t),t=-T..T):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 261 64 "Realanteil der komplexen Funktion der Spektralen Leistungsgich te" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "Re_SLD_unlim:=evalc(R e(SLD_unlim)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 262 68 "Imagin\344ranteil der komplexen F unktion der Spektralen Leistungsdichte" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "Im_SLD_unlim:=evalc(Im(SLD_unlim)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 263 61 "Berechnung der realen Funktion der Spektralen Leistungsdichte" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "Betrag_SLD_unlim:=Re_SLD_unl im^2+Im_SLD_unlim^2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" } }}{EXCHG {PARA 0 "" 0 "" {TEXT 264 45 "Auswahl ders zeitlichen Betrach tungsintervall" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "T:=8:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 265 93 "Grafische Darstellung der Spektralen Leistungsdichte des oben synthetisierten Rechtecksignals" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "plot(Betrag_SLD_unlim,omega=0.1..12*Pi,numpoints=2000 ,axes=boxed,thickness=2,color=red);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 268 117 "Grafische Darstellung der Spektralen Leistungsdichte des oben synthetisierten Rechtecksignals ( reduzierte Ordinate )" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 95 "plot(Betrag_SLD_unlim,omega=0.1..12 *Pi,0..0.2,numpoints=2000,axes=boxed,thickness=2,color=red);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 267 45 "Auswahl ders zeitlichen Betrachtu ngsintervall" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "T:=500:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 266 118 "Grafische Darstellung der Spektralen Leistungsdichte de s oben synthetisierten Rechtecksignals (Ordinate logarithmisch)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 99 "plot(ln(Betrag_SLD_unlim)/ln (10),omega=0.1..12*Pi,numpoints=2000,axes=boxed,thickness=2,color=red) ;" }}}}{MARK "39 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }