******************************************************************************* INFINITE PRECISION FIR LINEAR PHASE DIGITAL FILTER DESIGN REMEZ EXCHANGE ALGORITHM GRID DENSITY = 16 BANDPASS FILTER FILTER LENGTH = 47 ***** INFINITE PRECISION IMPULSE RESPONSE ***** H( 1) = -0.92115712E-04 = H( 47) H( 2) = -0.42976806E-03 = H( 46) H( 3) = -0.63789895E-03 = H( 45) H( 4) = 0.13766512E-03 = H( 44) H( 5) = 0.13957958E-02 = H( 43) H( 6) = 0.63009299E-03 = H( 42) H( 7) = -0.23805534E-02 = H( 41) H( 8) = -0.24790374E-02 = H( 40) H( 9) = 0.30832851E-02 = H( 39) H(10) = 0.57839580E-02 = H( 38) H(11) = -0.26969884E-02 = H( 37) H(12) = -0.10716375E-01 = H( 36) H(13) = 0.64261820E-04 = H( 35) H(14) = 0.17117492E-01 = H( 34) H(15) = 0.63712630E-02 = H( 33) H(16) = -0.24441459E-01 = H( 32) H(17) = -0.18897539E-01 = H( 31) H(18) = 0.31805986E-01 = H( 30) H(19) = 0.42156820E-01 = H( 29) H(20) = -0.38145852E-01 = H( 28) H(21) = -0.92071724E-01 = H( 27) H(22) = 0.42442754E-01 = H( 26) H(23) = 0.31343167E+00 = H( 25) H(24) = 0.45603614E+00 = H( 24) BAND 1 BAND 2 BAND LOWER BAND EDGE 0.0000 7400.0000 UPPER BAND EDGE 4800.0000 12800.0000 DESIRED VALUE 1.000000000 0.000000000 WEIGHTING 1.000000000 200.000000000 DEVIATION 0.001100400 0.000005502 DEVIATION IN DB 0.009552697 -105.189589527 EXTREMAL FREQUENCIES 0.0000 557.8125 1142.1875 1700.0000 2257.8125 2815.6250 3346.8750 3851.5625 4329.6875 4675.0000 4800.0000 7400.0000 7464.0625 7650.0000 7942.1875 8287.5000 8712.5000 9137.5000 9615.6250 10093.7500 10598.4375 11129.6875 11660.9375 12218.7500 12800.0000 ******************************************************************************* RUN TIME = 0.02 DATE 10/ 9/2003 ******************************************************************************* 13 BIT ROUNDED FIR LINEAR PHASE DIGITAL FILTER DESIGN REMEZ EXCHANGE ALGORITHM GRID DENSITY = 16 BANDPASS FILTER FILTER LENGTH = 47 ***** ROUNDED IMPULSE RESPONSE MULTIPLIED BY 2**13= 8192 ***** H( 1) = -0.12207031E-03 = H( 47) IH( 1) = -1 = IH( 47) H( 2) = -0.48828125E-03 = H( 46) IH( 2) = -4 = IH( 46) H( 3) = -0.61035156E-03 = H( 45) IH( 3) = -5 = IH( 45) H( 4) = 0.12207031E-03 = H( 44) IH( 4) = 1 = IH( 44) H( 5) = 0.13427734E-02 = H( 43) IH( 5) = 11 = IH( 43) H( 6) = 0.61035156E-03 = H( 42) IH( 6) = 5 = IH( 42) H( 7) = -0.24414063E-02 = H( 41) IH( 7) = -20 = IH( 41) H( 8) = -0.24414063E-02 = H( 40) IH( 8) = -20 = IH( 40) H( 9) = 0.30517578E-02 = H( 39) IH( 9) = 25 = IH( 39) H(10) = 0.57373047E-02 = H( 38) IH(10) = 47 = IH( 38) H(11) = -0.26855469E-02 = H( 37) IH(11) = -22 = IH( 37) H(12) = -0.10742188E-01 = H( 36) IH(12) = -88 = IH( 36) H(13) = 0.12207031E-03 = H( 35) IH(13) = 1 = IH( 35) H(14) = 0.17089844E-01 = H( 34) IH(14) = 140 = IH( 34) H(15) = 0.63476563E-02 = H( 33) IH(15) = 52 = IH( 33) H(16) = -0.24414063E-01 = H( 32) IH(16) = -200 = IH( 32) H(17) = -0.18920898E-01 = H( 31) IH(17) = -155 = IH( 31) H(18) = 0.31860352E-01 = H( 30) IH(18) = 261 = IH( 30) H(19) = 0.42114258E-01 = H( 29) IH(19) = 345 = IH( 29) H(20) = -0.38085938E-01 = H( 28) IH(20) = -312 = IH( 28) H(21) = -0.92041016E-01 = H( 27) IH(21) = -754 = IH( 27) H(22) = 0.42480469E-01 = H( 26) IH(22) = 348 = IH( 26) H(23) = 0.31347656E+00 = H( 25) IH(23) = 2568 = IH( 25) H(24) = 0.45605469E+00 = H( 24) IH(24) = 3736 = IH( 24) HSUM= 1.770752 BAND 1 BAND 2 BAND LOWER BAND EDGE 0.0000 7400.0000 UPPER BAND EDGE 4800.0000 12800.0000 DESIRED VALUE 1.000000000 0.000000000 WEIGHTING 1.000000000 200.000000000 DEVIATION 0.001815766 0.000860062 DEVIATION IN DB 0.015757242 -61.309404652 EXTREMAL FREQUENCIES 584.3750 10518.7500 ******************************************************************************* RUN TIME = 0.00 DATE 10/ 9/2003 NODE= 1 23 IMPR. DEVIATION= 0.6078500E-02 0.1100400E-02 PROBLEM BOUNDS INFINITE PRECISION DEVIATION = 0.1100400E-02 STARTING 13-BIT LOWER BOUND = 0.1987725E-02 ROUNDED 13-BIT DEVIATION = 0.1720124E+00 STARTING 13-BIT DEVIATION = 0.6078500E-02 RARE GRID POINTS = 89 DENSE GRID POINTS = 387 BRANCH AND BOUND: NODE= 221 0 IMPR. DEVIATION= 0.6046152E-02 0.6046152E-02 NODE= 923 0 IMPR. DEVIATION= 0.5269801E-02 0.5269801E-02 NODE= 5000 MIN.DEVIATION= 0.3586341E-02 B&B TREE= 1998 NODE= 10000 MIN.DEVIATION= 0.3889515E-02 B&B TREE= 3628 NODE= 15000 MIN.DEVIATION= 0.4052788E-02 B&B TREE= 4867 NODE= 20000 MIN.DEVIATION= 0.4186798E-02 B&B TREE= 5995 NODE= 25000 MIN.DEVIATION= 0.4290879E-02 B&B TREE= 6877 NODE= 30000 MIN.DEVIATION= 0.4345973E-02 B&B TREE= 7616 NODE= 35000 MIN.DEVIATION= 0.4453201E-02 B&B TREE= 8131 NODE= 40000 MIN.DEVIATION= 0.4518664E-02 B&B TREE= 8547 NODE= 45000 MIN.DEVIATION= 0.4575478E-02 B&B TREE= 8840 NODE= 50000 MIN.DEVIATION= 0.4629071E-02 B&B TREE= 8975 NODE= 55000 MIN.DEVIATION= 0.4680573E-02 B&B TREE= 9032 NODE= 60000 MIN.DEVIATION= 0.4728075E-02 B&B TREE= 8964 NODE= 65000 MIN.DEVIATION= 0.4768032E-02 B&B TREE= 8838 NODE= 70000 MIN.DEVIATION= 0.4820818E-02 B&B TREE= 8529 NODE= 75000 MIN.DEVIATION= 0.4827949E-02 B&B TREE= 8085 NODE= 80000 MIN.DEVIATION= 0.4905799E-02 B&B TREE= 7529 NODE= 85000 MIN.DEVIATION= 0.4946392E-02 B&B TREE= 6842 NODE= 90000 MIN.DEVIATION= 0.4967210E-02 B&B TREE= 5996 NODE= 95000 MIN.DEVIATION= 0.5034917E-02 B&B TREE= 4879 NODE= 100000 MIN.DEVIATION= 0.5065166E-02 B&B TREE= 3535 NODE= 105000 MIN.DEVIATION= 0.5132583E-02 B&B TREE= 1675 NUMBER OF NODES = 108141 DEVIATION IS IMPROVED TO 0.522957E-02 IF SCALING FACTOR 8211.980998 IS USED ******************************************************************************* 13 BIT OPTIMAL FIR LINEAR PHASE DIGITAL FILTER DESIGN BRANCH AND BOUND AND REMEZ ALGORITHM GRID DENSITY = 16 BANDPASS FILTER FILTER LENGTH = 47 ***** OPTIMAL IMPULSE RESPONSE MULTIPLIED BY 2**13= 8192 ***** H( 1) = -0.12207031E-03 = H( 47) IH( 1) = -1 = IH( 47) H( 2) = -0.36621094E-03 = H( 46) IH( 2) = -3 = IH( 46) H( 3) = -0.24414063E-03 = H( 45) IH( 3) = -2 = IH( 45) H( 4) = 0.73242188E-03 = H( 44) IH( 4) = 6 = IH( 44) H( 5) = 0.14648438E-02 = H( 43) IH( 5) = 12 = IH( 43) H( 6) = -0.12207031E-03 = H( 42) IH( 6) = -1 = IH( 42) H( 7) = -0.28076172E-02 = H( 41) IH( 7) = -23 = IH( 41) H( 8) = -0.14648438E-02 = H( 40) IH( 8) = -12 = IH( 40) H( 9) = 0.42724609E-02 = H( 39) IH( 9) = 35 = IH( 39) H(10) = 0.48828125E-02 = H( 38) IH(10) = 40 = IH( 38) H(11) = -0.47607422E-02 = H( 37) IH(11) = -39 = IH( 37) H(12) = -0.10375977E-01 = H( 36) IH(12) = -85 = IH( 36) H(13) = 0.29296875E-02 = H( 35) IH(13) = 24 = IH( 35) H(14) = 0.17944336E-01 = H( 34) IH(14) = 147 = IH( 34) H(15) = 0.35400391E-02 = H( 33) IH(15) = 29 = IH( 33) H(16) = -0.25878906E-01 = H( 32) IH(16) = -212 = IH( 32) H(17) = -0.15625000E-01 = H( 31) IH(17) = -128 = IH( 31) H(18) = 0.34667969E-01 = H( 30) IH(18) = 284 = IH( 30) H(19) = 0.39306641E-01 = H( 29) IH(19) = 322 = IH( 29) H(20) = -0.42358398E-01 = H( 28) IH(20) = -347 = IH( 28) H(21) = -0.90576172E-01 = H( 27) IH(21) = -742 = IH( 27) H(22) = 0.46875000E-01 = H( 26) IH(22) = 384 = IH( 26) H(23) = 0.31274414E+00 = H( 25) IH(23) = 2562 = IH( 25) H(24) = 0.45117188E+00 = H( 24) IH(24) = 3696 = IH( 24) HSUM= 1.779297 BAND 1 BAND 2 BAND LOWER BAND EDGE 0.0000 7400.0000 UPPER BAND EDGE 4800.0000 12800.0000 DESIRED VALUE 1.000000000 0.000000000 WEIGHTING 1.000000000 200.000000000 DEVIATION 0.005269801 0.000026212 DEVIATION IN DB 0.045652729 -91.630121396 EXTREMAL FREQUENCIES 4675.0000 11820.3125 MAX TREE SIZE 9043 OPTIMAL AT NODE 923 TOTAL NODES 108141 ******************************************************************************* RUN TIME = 48.06 DATE 10/SEP/2003