Version 4 SHEET 1 1132 680 WIRE -304 256 -304 192 WIRE -304 192 -176 192 WIRE -304 336 -304 384 WIRE 16 384 -304 384 WIRE -96 192 16 192 WIRE 144 192 144 240 WIRE 16 240 16 192 WIRE 16 192 144 192 WIRE 16 304 16 384 WIRE 16 384 144 384 WIRE 144 384 144 320 WIRE 16 416 16 384 WIRE 304 272 304 192 WIRE 304 192 144 192 WIRE 304 320 304 384 WIRE 304 384 144 384 WIRE 352 336 352 384 WIRE 352 384 304 384 WIRE 352 256 352 192 WIRE 352 192 464 192 WIRE 544 192 640 192 WIRE 768 192 768 240 WIRE 640 240 640 192 WIRE 640 192 768 192 WIRE 640 304 640 384 WIRE 640 384 768 384 WIRE 768 384 768 320 WIRE 640 416 640 384 WIRE 352 384 640 384 WIRE 144 192 144 112 WIRE 144 112 192 112 WIRE 640 192 640 112 WIRE 640 112 688 112 FLAG -304 192 in FLAG 16 416 0 FLAG 640 416 0 FLAG 192 112 OUT_10KHz IOPIN 192 112 Out FLAG 688 112 OUT_6.4KHz IOPIN 688 112 Out SYMBOL voltage -304 240 R0 WINDOW 3 -13 182 Left 0 WINDOW 123 23 110 Left 0 WINDOW 39 37 74 Left 0 SYMATTR Value SINE(0 1 1e6) SYMATTR Value2 AC 1 SYMATTR SpiceLine Rser=1u SYMATTR InstName V1 SYMBOL res -192 208 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 0 56 VBottom 0 SYMATTR InstName R1 SYMATTR Value {R1} SYMBOL ind 128 224 R0 SYMATTR InstName L1 SYMATTR Value {L1} SYMATTR SpiceLine Rser=1u SYMBOL cap 0 240 R0 SYMATTR InstName C1 SYMATTR Value {C1} SYMATTR SpiceLine Rser=1u SYMBOL e 352 240 R0 SYMATTR InstName E1 SYMATTR Value 1 SYMBOL res 448 208 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 0 56 VBottom 0 SYMATTR InstName R2 SYMATTR Value {R1} SYMBOL ind 752 224 R0 SYMATTR InstName L2 SYMATTR Value {L1} SYMATTR SpiceLine Rser=1u SYMBOL cap 624 240 R0 SYMATTR InstName C2 SYMATTR Value {C1} SYMATTR SpiceLine Rser=1u TEXT -320 -112 Left 0 ;.ac lin 2001 900k 1100k TEXT -320 -152 Left 0 !.tran 0 0.3m 0 {Ts} TEXT 80 -160 Left 0 ;f0 = 1MHz B = 10KHz \n \nBandwidth: B = f2 - f1 f1, f2 frequency at -3dB 10kHz\n \nRisetime 10%,90%: Trise = 0.7 / B 0.07ms(0.7/10kHz)\n \n.TRAN step time: tstep = (1/f1 - 1/f2) = B / (f0 * f0) 10ns TEXT -328 80 Left 0 !.options plotwinsize=0 TEXT -328 -72 Left 0 !.PARAM F0=1e6\n.PARAM R1=10e3\n.PARAM Q=100\n.PARAM L1= R1/(2*PI*F0*Q)\n.PARAM C1=1/(2*PI*2*PI*F0*F0*L1) TEXT -320 -208 Left 0 !.STEP PARAM Ts LIST 6.4n 10n 20n 40n TEXT 672 160 Left 0 ;4th order, B=6.4KHz TEXT 168 160 Left 0 ;2nd order, B=10KHZ TEXT -320 -1048 Left 0 ;MINIMUM TIMESTEP CONTROL IN BANDPASS CURCUITS\nHelmut Sennewald 8/28/2004\n \nBandpass circuits require a much smaller timestep in .TRAN simulation.\nA formula will be presented for this number.\n \nTstep = (1/f1 - 1/f2) = B / (f0 * f0) B bandwidth, f0 center frequency\n f1, f2 -3dB frequency\n \nA further result is that for higher than 2nd order bandpass filters an even more\nstringent requirement like half the calculated value may be necessary.\nI also recommend to switch off any compression for highest accuracy,\nCompression off: .options plotwinsize=0\n \n1. Example: Bandpass 2nd order\n \nf0 = 1MHz B = 10KHz \nBandwidth: B = f2 - f1 f1, f2 frequency at -3dB 10kHz\nRisetime 10%,90%: Trise = 0.7 / B 0.07ms(0.7/10kHz)\n.TRAN step time: tstep = (1/f1 - 1/f2) = B / (f0 * f0) 10ns\n \n2. Example: Bandpass 4th order\n \nf0 = 1MHz B = 6.4KHz \nBandwidth: B = f2 - f1 f1, f2 frequency at -3dB 6.4KHz\nRisetime 10%,90%: Trise = 0.7 / B 0.11ms \n.TRAN step time: tstep = (1/f1 - 1/f2) = B / (f0 * f0) 6.4ns