In Section 7.1 we described the so-called Type-IV frequency sampling filter (FSF). The tables in this appendix provide a list of optimum transition coefficient values for the Case I (see Figure 7-25) Type-IV lowpass FSFs of various passband bandwidths, over a range of values of N. Table H-1 provides the H(k) single transition coefficient and two transition coefficients for even values of N. Table H-2 provides the H(k) three transition coefficients for even N. Table H-3 provides the H(k) single transition coefficient and two transition coefficients for odd values of N, while Table H-4 provides the H(k) three transition coefficients for odd N.
The passband bandwidth in these tables, signified by the BW parameter, is the number of FSF sections having unity-valued H(k) gain factors. For example, an N = 32 lowpass FSF using six passband sections and a single transition region coefficient (T1) would have the H(k) gain values shown in Figure H-1(a). In this case, the T1 coefficient would be found in Table H-1 for N = 32 at a bandwidth BW = 6. An N = 23 lowpass FSF with five passband sections and two transition region coefficients (T1 and T2) would have the H(k) gain values shown in Figure H-1(b). In this case, the T1 and T2 coefficients are found in Table H-2 for N = 23 at a bandwidth BW = 5. An additional parameter in the tables is the maximum stopband sidelobe attenuation levels (Atten).
Figure H-1. Transition coefficient examples: (a) one coefficient for N = 32 and BW = 6; (b) two coefficients for N = 23 and BW = 5.
Table H-1. Lowpass Type-IV FSF for Even N (One and Two Coefficients)
BW | Atten | T1 | BW | Atten | T1 | T2 |
---|---|---|---|---|---|---|
N = 16 | N = 16 | |||||
1 | –44.9 | 0.41924081 | 1 | –76.5 | 0.56626687 | 0.07922718 |
2 | –45.8 | 0.38969818 | 2 | –77.2 | 0.55487263 | 0.08012238 |
3 | –47.3 | 0.36942214 | 3 | –81.2 | 0.53095099 | 0.07087993 |
4 | –49.6 | 0.34918551 | 4 | –87.7 | 0.49927622 | 0.05813368 |
N = 24 | N = 24 | |||||
1 | –44 | 0.42452816 | 1 | –73.6 | 0.57734042 | 0.08641861 |
2 | –44.1 | 0.40042889 | 2 | –72.5 | 0.57708274 | 0.09305238 |
3 | –44.9 | 0.38622106 | 3 | –72.9 | 0.56983709 | 0.09177956 |
4 | –45.7 | 0.37556064 | 4 | –73.8 | 0.55958351 | 0.08770698 |
5 | –46.5 | 0.36663149 | 5 | –75.6 | 0.54689579 | 0.08202772 |
N = 32 | N = 32 | |||||
1 | –43.6 | 0.42638815 | 1 | –72.6 | 0.58109341 | 0.08892320 |
2 | –43.6 | 0.40407598 | 2 | –71 | 0.58466392 | 0.09771906 |
3 | –44 | 0.39197681 | 3 | –70.8 | 0.58101218 | 0.09823378 |
4 | –44.5 | 0.38377786 | 5 | –71.6 | 0.57002693 | 0.09442029 |
6 | –45.5 | 0.37172559 | 7 | –73.2 | 0.55593774 | 0.0879846 |
7 | –45.8 | 0.38912443 | 9 | –76.2 | 0.53661082 | 0.07884406 |
8 | –46.6 | 0.36087271 | 13 | –106 | 0.43242657 | 0.03643965 |
N = 48 | N = 48 | |||||
1 | –43.4 | 0.42772741 | 1 | –72 | 0.58385966 | 0.09079945 |
2 | –43.2 | 0.40654471 | 2 | –70 | 0.58999731 | 0.10107095 |
3 | –43.5 | 0.39569517 | 3 | –69.5 | 0.58898579 | 0.1030238 |
4 | –43.8 | 0.38879556 | 5 | –69.6 | 0.58356869 | 0.10204926 |
6 | –44.4 | 0.37994174 | 7 | –70 | 0.57749269 | 0.09959325 |
8 | –44.9 | 0.37394938 | 9 | –70.6 | 0.57143299 | 0.09683486 |
10 | –45.3 | 0.3690437 | ||||
N = 64 | N = 64 | |||||
1 | –43.3 | 0.42815077 | 1 | –71.8 | 0.58480329 | 0.09144087 |
2 | –43.1 | 0.40742967 | 2 | –69.7 | 0.59178518 | 0.10221701 |
3 | –43.4 | 0.39690507 | 3 | –69.2 | 0.59168291 | 0.10467406 |
4 | –43.6 | 0.39043339 | 4 | –68.9 | 0.5899207 | 0.10496398 |
5 | –43.9 | 0.38583162 | 5 | –68.9 | 0.58788109 | 0.10457886 |
6 | –44.1 | 0.38244173 | 9 | –69.4 | 0.58010661 | 0.10157302 |
10 | –44.7 | 0.37382147 | 13 | –70.2 | 0.57272483 | 0.09810828 |
14 | –45.3 | 0.36813961 | 17 | –71.1 | 0.56417336 | 0.09386963 |
N = 96 | N = 96 | |||||
1 | –43.2 | 0.42856954 | 1 | –71.6 | 0.585424 | 0.09185794 |
2 | –43 | 0.40790815 | 2 | –69.5 | 0.59305878 | 0.10302346 |
3 | –43.3 | 0.3977603 | 3 | –68.8 | 0.59332978 | 0.10571202 |
4 | –43.5 | 0.39154291 | 4 | –68.4 | 0.59202942 | 0.10623854 |
5 | –43.7 | 0.38719365 | 5 | –68.3 | 0.59062246 | 0.10623287 |
6 | –43.9 | 0.38409245 | 9 | –68.5 | 0.58514671 | 0.10445521 |
10 | –44.4 | 0.37686993 | 13 | –68.9 | 0.58087019 | 0.10253761 |
14 | –44.7 | 0.37270333 | 17 | –69.3 | 0.57751103 | 0.10097157 |
18 | –45 | 0.36984146 | 21 | –65.3 | 0.59419612 | 0.11180709 |
N = 128 | N = 128 | |||||
1 | –43.2 | 0.42864273 | 1 | –71.6 | 0.58574352 | 0.09208128 |
2 | –43 | 0.40823844 | 2 | –69.4 | 0.59357535 | 0.10335703 |
3 | –43.2 | 0.39811024 | 3 | –68.6 | 0.59383385 | 0.10601544 |
4 | –43.4 | 0.39188378 | 4 | –68.3 | 0.59279342 | 0.10671242 |
5 | –43.7 | 0.38774353 | 6 | –68.1 | 0.59024028 | 0.10655014 |
7 | –44 | 0.38236389 | 9 | –68.2 | 0.5868017 | 0.10542034 |
10 | –44.3 | 0.37771128 | 17 | –68.7 | 0.58071332 | 0.10271656 |
18 | –44.8 | 0.3717883 | 25 | –69.2 | 0.57652818 | 0.1006787 |
26 | –45.1 | 0.36862161 | 33 | –69.8 | 0.57265344 | 0.09871098 |
N = 192 | N = 192 | |||||
1 | –43.2 | 0.42881027 | 1 | –71.5 | 0.58589507 | 0.09218797 |
2 | –43 | 0.40831822 | 2 | –69.4 | 0.59383365 | 0.1035231 |
3 | –43.2 | 0.39830476 | 3 | –68.6 | 0.59433749 | 0.10635017 |
4 | –43.4 | 0.39219024 | 4 | –68.2 | 0.5933049 | 0.10702144 |
5 | –43.6 | 0.38797095 | 6 | –67.9 | 0.59098287 | 0.10700026 |
7 | –43.9 | 0.3828125 | 9 | –68 | 0.58790082 | 0.10604544 |
10 | –44.2 | 0.37845008 | 17 | –68.4 | 0.58295021 | 0.10399738 |
18 | –44.7 | 0.37302517 | 25 | –68.7 | 0.57978921 | 0.10242432 |
26 | –44.9 | 0.37049755 | 33 | –69 | 0.57773363 | 0.10143253 |
34 | –45 | 0.36908526 | 41 | –69.2 | 0.57597277 | 0.10055134 |
42 | –45.2 | 0.36764286 | 49 | –69.5 | 0.57407637 | 0.09954949 |
N = 224 | N = 224 | |||||
1 | –43.2 | 0.42874481 | 1 | –71.5 | 0.58591935 | 0.09220841 |
2 | –43 | 0.40836093 | 2 | –69.4 | 0.593894 | 0.10355622 |
3 | –43.2 | 0.39831237 | 3 | –68.5 | 0.59435536 | 0.10634325 |
4 | –43.4 | 0.3921651 | 4 | –68.1 | 0.59354863 | 0.10719315 |
5 | –43.6 | 0.38807204 | 6 | –67.9 | 0.59106856 | 0.1070268 |
7 | –43.9 | 0.38281226 | 9 | –67.9 | 0.58816185 | 0.10619806 |
10 | –44.2 | 0.37847605 | 10 | –67.9 | 0.58726527 | 0.10582934 |
11 | –44.3 | 0.37742038 | 17 | –68.3 | 0.58317185 | 0.10407347 |
18 | –44.6 | 0.37324982 | 33 | –68.8 | 0.57860121 | 0.10189345 |
34 | –45 | 0.36946431 | 49 | –69.2 | 0.5757377 | 0.10043439 |
50 | –45.2 | 0.36753866 | 57 | –69.4 | 0.57440527 | 0.09975201 |
N = 256 | N = 256 | |||||
1 | –43.2 | 0.42874481 | 1 | –71.5 | 0.58599793 | 0.09225917 |
2 | –43 | 0.40844072 | 2 | –69.4 | 0.59395199 | 0.10360852 |
3 | –43.2 | 0.39839019 | 3 | –68.5 | 0.59445009 | 0.10641045 |
4 | –43.4 | 0.39231838 | 4 | –68.1 | 0.59358715 | 0.10721801 |
5 | –43.6 | 0.38814788 | 6 | –67.9 | 0.59121865 | 0.10712227 |
7 | –43.9 | 0.38296192 | 9 | –67.9 | 0.58824601 | 0.10622746 |
10 | –44.2 | 0.37855003 | 10 | –67.9 | 0.58727091 | 0.10580213 |
11 | –44.3 | 0.37756795 | 17 | –68.2 | 0.58347729 | 0.10424412 |
18 | –44.6 | 0.3733958 | 33 | –68.7 | 0.57913354 | 0.1021842 |
34 | –44.9 | 0.36982575 | 49 | –69 | 0.57667852 | 0.10093887 |
50 | –45.1 | 0.36804233 | 57 | –69.2 | 0.57568486 | 0.10043603 |
58 | –45.2 | 0.3673716 | 65 | –69.3 | 0.57469205 | 0.09993526 |
Table H-2. Lowpass Type-IV FSF for Odd N (One and Two Coefficients)
BW | Atten | T1 | BW | Atten | T1 | T2 |
---|---|---|---|---|---|---|
N = 15 | N = 15 | |||||
1 | –45.1 | 0.41802444 | 1 | –77.3 | 0.56378193 | 0.07767395 |
2 | –46.2 | 0.38716426 | 2 | –78.9 | 0.54831544 | 0.07646082 |
3 | –48 | 0.36461603 | 3 | –83.4 | 0.52139051 | 0.06627593 |
4 | –51.4 | 0.34005655 | 4 | –96.3 | 0.47732772 | 0.0487037 |
N = 23 | N = 23 | |||||
1 | –44 | 0.42412451 | 1 | –73.8 | 0.57648809 | 0.08585489 |
2 | –44.3 | 0.3995718 | 2 | –72.7 | 0.57569102 | 0.09221862 |
3 | –45.1 | 0.38497937 | 3 | –73.2 | 0.56732401 | 0.09032595 |
4 | –46 | 0.37367551 | 4 | –74.6 | 0.55575797 | 0.08563268 |
5 | –46.8 | 0.36445788 | 5 | –76.5 | 0.54245814 | 0.07981527 |
N = 33 | N = 33 | |||||
1 | –43.6 | 0.42659097 | 1 | –72.6 | 0.58141103 | 0.08913503 |
2 | –43.5 | 0.40433257 | 2 | –70.9 | 0.58529197 | 0.09811292 |
3 | –44 | 0.39239983 | 3 | –70.7 | 0.58187597 | 0.09874619 |
4 | –44.4 | 0.3843389 | 5 | –71.3 | 0.57154421 | 0.09525674 |
6 | –45.3 | 0.37272147 | 7 | –72.9 | 0.55826179 | 0.08918146 |
8 | –46.4 | 0.36256798 | 9 | –75.3 | 0.54128598 | 0.08116809 |
N = 47 | N = 47 | |||||
1 | –43.4 | 0.42768264 | 1 | –72 | 0.58376507 | 0.09073592 |
2 | –43.2 | 0.40649692 | 2 | –70.1 | 0.58975381 | 0.1009182 |
3 | –43.5 | 0.39553589 | 3 | –69.6 | 0.5886934 | 0.10284475 |
4 | –43.8 | 0.38859729 | 5 | –69.6 | 0.58311582 | 0.10178496 |
6 | –44.4 | 0.37968179 | 7 | –70.1 | 0.57687412 | 0.09925266 |
8 | –44.9 | 0.37362421 | 9 | –70.7 | 0.57045477 | 0.0963056 |
10 | –45.4 | 0.36853968 | 11 | –71.6 | 0.56319305 | 0.09280396 |
N = 65 | N = 65 | |||||
1 | –43.3 | 0.4281872 | 1 | –71.7 | 0.58480896 | 0.09144011 |
–43.1 | 0.40743541 | 2 | –69.7 | 0.59188395 | 0.10227409 | |
3 | –43.4 | 0.39694541 | 3 | –69.1 | 0.59158717 | 0.10459977 |
4 | –43.6 | 0.39043991 | 4 | –68.9 | 0.59001405 | 0.10501496 |
5 | –43.9 | 0.3859325 | 5 | –68.8 | 0.58797401 | 0.10462176 |
6 | –44.1 | 0.38249194 | 9 | –69.4 | 0.58031079 | 0.10167681 |
10 | –44.7 | 0.37399454 | 13 | –70.1 | 0.57312044 | 0.09830111 |
14 | –45.2 | 0.36841874 | 17 | –71 | 0.56506463 | 0.0943328 |
18 | –45.8 | 0.36324429 | 21 | –72.5 | 0.55369626 | 0.08867447 |
N = 95 | N = 95 | |||||
1 | –43.2 | 0.42852251 | 1 | –71.6 | 0.58559589 | 0.09199196 |
2 | –43 | 0.40799464 | 2 | –69.5 | 0.59306419 | 0.10302347 |
3 | –43.3 | 0.39772511 | 3 | –68.8 | 0.59323668 | 0.10563966 |
4 | –43.5 | 0.39143867 | 4 | –68.5 | 0.59207559 | 0.10628422 |
5 | –43.7 | 0.38722579 | 5 | –68.3 | 0.5905046 | 0.10614086 |
6 | –43.9 | 0.38400287 | 9 | –68.5 | 0.58506537 | 0.10440925 |
10 | –44.4 | 0.3766755 | 13 | –68.9 | 0.58094477 | 0.10262083 |
14 | –44.8 | 0.37268027 | 17 | –69.3 | 0.57725045 | 0.10081244 |
18 | –45 | 0.369842 | 21 | –69.8 | 0.57370707 | 0.09903691 |
N = 125 | N = 125 | |||||
1 | –43.2 | 0.42857276 | 1 | –71.5 | 0.5856764 | 0.0920373 |
2 | –43 | 0.40819419 | 2 | –69.5 | 0.59346193 | 0.10328234 |
3 | –43.2 | 0.39806479 | 3 | –68.7 | 0.59389103 | 0.1060686 |
4 | –43.5 | 0.39191493 | 5 | –68.1 | 0.59144981 | 0.1067222 |
6 | –43.8 | 0.38458541 | 7 | –68.1 | 0.58887274 | 0.10611287 |
8 | –44.1 | 0.38046599 | 9 | –68.2 | 0.58670301 | 0.10535739 |
10 | –44.3 | 0.37761366 | 17 | –68.7 | 0.5805297 | 0.10262003 |
18 | –44.8 | 0.37166577 | 25 | –69.3 | 0.57610034 | 0.10041636 |
26 | –45.1 | 0.36836415 | 33 | –69.9 | 0.57206269 | 0.0984002 |
N = 191 | N = 191 | |||||
1 | –43.2 | 0.42865655 | 1 | –71.5 | 0.5859143 | 0.09220684 |
2 | –43 | 0.40839373 | 2 | –69.4 | 0.5937664 | 0.10346999 |
3 | –43.2 | 0.39822053 | 3 | –68.5 | 0.59423193 | 0.1062604 |
4 | –43.4 | 0.39214502 | 5 | –68 | 0.59213475 | 0.1071269 |
6 | –43.8 | 0.38503751 | 7 | –67.9 | 0.589875 | 0.10671096 |
8 | –44 | 0.38095089 | 9 | –68 | 0.58788996 | 0.10603382 |
10 | –44.2 | 0.37828083 | 17 | –68.4 | 0.58282022 | 0.10390276 |
18 | –44.7 | 0.37305805 | 25 | –68.7 | 0.57971044 | 0.10236319 |
26 | –44.9 | 0.37048161 | 33 | –69 | 0.57760031 | 0.10133385 |
34 | –45 | 0.36904678 | 41 | –69.2 | 0.57578133 | 0.10042123 |
42 | –45.1 | 0.3676021 | 49 | –69.5 | 0.57404729 | 0.09954845 |
N = 223 | N = 223 | |||||
1 | –43.2 | 0.42874481 | 1 | –71.5 | 0.58589267 | 0.0921919 |
2 | –43 | 0.40836093 | 2 | –69.4 | 0.59379277 | 0.10347913 |
3 | –43.2 | 0.39835128 | 3 | –68.5 | 0.59435536 | 0.10634325 |
4 | –43.4 | 0.3921651 | 4 | –68.1 | 0.59354863 | 0.10719315 |
5 | –43.6 | 0.38807204 | 6 | –67.9 | 0.59114264 | 0.10708575 |
7 | –43.9 | 0.38288709 | 9 | –67.9 | 0.58797899 | 0.10606475 |
10 | –44.2 | 0.37851304 | 10 | –67.9 | 0.58726527 | 0.10582934 |
11 | –44.3 | 0.37742038 | 17 | –68.3 | 0.58329541 | 0.10416575 |
18 | –44.6 | 0.37324982 | 33 | –68.8 | 0.57849661 | 0.10182631 |
34 | –45 | 0.36946431 | 49 | –69.2 | 0.57568307 | 0.10040604 |
50 | –45.2 | 0.3674667 | 57 | –69.4 | 0.5744086 | 0.09975962 |
N = 255 | N = 255 | |||||
1 | –43.2 | 0.42874481 | 1 | –71.5 | 0.58590294 | 0.09218854 |
2 | –43 | 0.40836093 | 2 | –69.3 | 0.59392035 | 0.10356223 |
3 | –43.2 | 0.39831237 | 3 | –68.5 | 0.59440493 | 0.10637653 |
4 | –43.4 | 0.39224174 | 4 | –68.1 | 0.59363182 | 0.10725379 |
5 | –43.6 | 0.38814788 | 6 | –67.9 | 0.59121586 | 0.10712951 |
7 | –43.9 | 0.38296192 | 9 | –67.9 | 0.58822523 | 0.10621751 |
10 | –44.2 | 0.37855003 | 10 | –67.9 | 0.58747402 | 0.10596604 |
11 | –44.3 | 0.37756795 | 17 | –68.2 | 0.58351595 | 0.10427857 |
18 | –44.6 | 0.3733958 | 33 | –68.7 | 0.57906429 | 0.10213183 |
34 | –44.9 | 0.36982575 | 49 | –69 | 0.57660259 | 0.10088411 |
50 | –45.1 | 0.36804233 | 57 | –69.2 | 0.57562728 | 0.10040259 |
58 | –45.2 | 0.3673716 | 65 | –69.4 | 0.57461162 | 0.09987875 |
Table H-3. Lowpass Type-IV FSF for Even N (Three Coefficients)
BW | Atten | T1 | T2 | T3 |
---|---|---|---|---|
N = 16 | ||||
1 | –112.6 | 0.64272445 | 0.15442399 | 0.00880089 |
2 | –95.9 | 0.70487291 | 0.22419597 | 0.01947599 |
3 | –100.7 | 0.70063089 | 0.21872748 | 0.01757096 |
4 | –115.9 | 0.68531929 | 0.19831357 | 0.01270197 |
N = 24 | ||||
1 | –103.8 | 0.6599002 | 0.17315143 | 0.01189889 |
2 | –101.8 | 0.67718249 | 0.19461557 | 0.01429673 |
3 | –95.5 | 0.69609682 | 0.21773826 | 0.01860944 |
4 | –104.1 | 0.66830223 | 0.18959572 | 0.01339907 |
N = 32 | ||||
1 | –99.6 | 0.6642114 | 0.17798254 | 0.01278046 |
2 | –98.5 | 0.68804961 | 0.20639825 | 0.01646338 |
4 | –87.4 | 0.73378289 | 0.26142233 | 0.02762054 |
6 | –100.5 | 0.67913658 | 0.20169658 | 0.01554611 |
8 | –105.3 | 0.65936975 | 0.18380663 | 0.01270743 |
N = 48 | ||||
1 | –93.8 | 0.68361144 | 0.2010237 | 0.01735969 |
2 | –96 | 0.69534463 | 0.21480253 | 0.01812435 |
4 | –87.2 | 0.73314865 | 0.26098449 | 0.02762804 |
6 | –86.4 | 0.73802064 | 0.26732823 | 0.02900775 |
8 | –95 | 0.69703503 | 0.2211425 | 0.01909109 |
10 | –90 | 0.71746809 | 0.24474881 | 0.02420421 |
N = 64 | ||||
1 | –96.6 | 0.67620503 | 0.19208214 | 0.01551621 |
2 | –94.9 | 0.69693984 | 0.21653685 | 0.01842226 |
3 | –89.7 | 0.72079468 | 0.24569738 | 0.02432222 |
4 | –92.3 | 0.7068141 | 0.22927121 | 0.02042893 |
8 | –91.4 | 0.70957119 | 0.23498487 | 0.02215407 |
12 | –93.8 | 0.7026052 | 0.22772953 | 0.02059288 |
16 | –85.3 | 0.74439511 | 0.27543213 | 0.03085705 |
N = 96 | ||||
1 | –98.5 | 0.6720933 | 0.18712559 | 0.01449609 |
2 | –92.9 | 0.70471821 | 0.22591053 | 0.02048075 |
3 | –93 | 0.70905096 | 0.23165702 | 0.02121954 |
4 | –88.7 | 0.72625477 | 0.25269331 | 0.02574193 |
8 | –90.8 | 0.71369108 | 0.23929089 | 0.02281527 |
12 | –90.8 | 0.71110318 | 0.23715671 | 0.02248568 |
16 | –85.2 | 0.74356072 | 0.27478153 | 0.03080406 |
20 | –85.8 | 0.74022029 | 0.27104418 | 0.02999046 |
N = 128 | ||||
1 | –98.3 | 0.67221636 | 0.18725564 | 0.01451885 |
2 | –94.4 | 0.70015724 | 0.22042278 | 0.01929075 |
3 | –92.6 | 0.70981704 | 0.23257905 | 0.02143209 |
5 | –90.6 | 0.71933148 | 0.24480839 | 0.02391897 |
8 | –89.8 | 0.72190475 | 0.24869701 | 0.02481883 |
16 | –88.5 | 0.72569265 | 0.25405918 | 0.02615712 |
24 | –87.4 | 0.7301942 | 0.25964746 | 0.02748522 |
N = 192 | ||||
1 | –98.1 | 0.67216994 | 0.1871603 | 0.01447431 |
2 | –94.3 | 0.70064573 | 0.22097713 | 0.01939796 |
3 | –92.6 | 0.71046628 | 0.23329177 | 0.02156244 |
5 | –90.6 | 0.71933299 | 0.24477507 | 0.0238993 |
8 | –89.8 | 0.72185688 | 0.24857861 | 0.02477626 |
16 | –88.5 | 0.72617255 | 0.2545026 | 0.02622728 |
24 | –87.7 | 0.72957884 | 0.25880678 | 0.02726692 |
32 | –90.9 | 0.71321929 | 0.24041037 | 0.02328586 |
40 | –91.2 | 0.71133926 | 0.23853571 | 0.02293979 |
48 | –91.4 | 0.70862489 | 0.2357226 | 0.0224067 |
N = 224 | ||||
1 | –98.2 | 0.67256687 | 0.18767169 | 0.01459779 |
2 | –94.2 | 0.70077254 | 0.22112728 | 0.01942992 |
3 | –90.4 | 0.7026477 | 0.22304697 | 0.01885735 |
5 | –91.1 | 0.71677647 | 0.24176238 | 0.0232377 |
8 | –89.9 | 0.72168089 | 0.24837531 | 0.02473386 |
9 | –89.8 | 0.71675825 | 0.24253218 | 0.02331464 |
16 | –90.3 | 0.71805244 | 0.24514888 | 0.0241623 |
32 | –90.6 | 0.71429115 | 0.24150812 | 0.0234885 |
48 | –91.1 | 0.71133746 | 0.23857357 | 0.02295657 |
N = 256 | ||||
1 | –95.7 | 0.67780153 | 0.19398356 | 0.01590119 |
2 | –94 | 0.70138048 | 0.22187281 | 0.01959708 |
3 | –90.3 | 0.70235664 | 0.22265441 | 0.01875372 |
5 | –91 | 0.71654134 | 0.24139758 | 0.02311255 |
8 | –89.9 | 0.72167623 | 0.24835995 | 0.02472548 |
9 | –89.7 | 0.71676546 | 0.24249377 | 0.02328724 |
16 | –90.2 | 0.71841628 | 0.24555225 | 0.02424786 |
32 | –90.5 | 0.71523646 | 0.24257287 | 0.02372755 |
48 | –90.8 | 0.71282545 | 0.2402303 | 0.02331467 |
56 | –90.7 | 0.71353605 | 0.24104134 | 0.02347778 |
Table H-4. Lowpass Type-IV FSF for Odd N (Three Coefficients)
BW | Atten | T1 | T2 | T3 |
---|---|---|---|---|
N = 15 | ||||
1 | –99.1 | 0.67276446 | 0.18765467 | 0.01448603 |
2 | –109 | 0.65109591 | 0.16879848 | 0.01032845 |
3 | –103 | 0.64743501 | 0.16597437 | 0.00887322 |
4 | –129.8 | 0.58430569 | 0.11830427 | 0.0041067 |
N = 23 | ||||
1 | –98.6 | 0.67021235 | 0.18516808 | 0.01420518 |
2 | –96.9 | 0.6596023 | 0.17408826 | 0.00996838 |
3 | –95.3 | 0.64635467 | 0.16260027 | 0.0077623 |
4 | –86.1 | 0.60390729 | 0.12509768 | 0.00296913 |
N = 33 | ||||
1 | –98.4 | 0.67150869 | 0.18654613 | 0.01442309 |
2 | –97.9 | 0.68975409 | 0.20844142 | 0.01686088 |
4 | –93.8 | 0.70392025 | 0.22717012 | 0.02035858 |
6 | –92.1 | 0.70836197 | 0.23374423 | 0.02185812 |
8 | –92.9 | 0.70271751 | 0.22868478 | 0.02098636 |
N = 47 | ||||
1 | –99.7 | 0.66933083 | 0.18386234 | 0.01384901 |
2 | –94.7 | 0.69037782 | 0.20845236 | 0.01654889 |
4 | –94.4 | 0.70435781 | 0.22714301 | 0.02019897 |
6 | –94.5 | 0.70200706 | 0.22582668 | 0.01999782 |
8 | –95.4 | 0.69662478 | 0.22082819 | 0.01907788 |
10 | –97 | 0.69029654 | 0.21493063 | 0.01807728 |
12 | –88.8 | 0.64107819 | 0.16254219 | 0.0076571 |
N = 65 | ||||
1 | –98.8 | 0.67071168 | 0.18547676 | 0.01416929 |
2 | –94.8 | 0.69743725 | 0.21725 | 0.01864255 |
3 | –93.6 | 0.70659336 | 0.22882367 | 0.02062804 |
4 | –93 | 0.70962871 | 0.23307976 | 0.02141978 |
8 | –92.6 | 0.70884359 | 0.23403175 | 0.02173011 |
12 | –88.7 | 0.72402053 | 0.25220517 | 0.02579854 |
16 | –89.9 | 0.71679306 | 0.24461807 | 0.02427071 |
N = 95 | ||||
1 | –98.6 | 0.67204252 | 0.18706788 | 0.0144861 |
2 | –94.5 | 0.69934889 | 0.21945399 | 0.01908355 |
3 | –93 | 0.70879388 | 0.23134381 | 0.02114855 |
4 | –92.2 | 0.71277193 | 0.23666779 | 0.0221755 |
8 | –89.2 | 0.72434568 | 0.25160197 | 0.02547937 |
12 | –88.8 | 0.72479877 | 0.25277864 | 0.02583655 |
16 | –90.1 | 0.71754976 | 0.24492389 | 0.02419794 |
20 | –92.6 | 0.70606236 | 0.23250776 | 0.02165584 |
N = 125 | ||||
1 | –98.3 | 0.67220923 | 0.18724753 | 0.01451708 |
2 | –94.4 | 0.7001615 | 0.22041952 | 0.01928486 |
4 | –90.8 | 0.71816438 | 0.24299337 | 0.02355056 |
6 | –90.5 | 0.71950797 | 0.24538851 | 0.02405304 |
8 | –90.5 | 0.71546288 | 0.2410237 | 0.02303409 |
16 | –89.5 | 0.72139717 | 0.24910324 | 0.02505485 |
24 | –89.9 | 0.71817491 | 0.24597097 | 0.02448715 |
32 | –88.9 | 0.72170356 | 0.25030101 | 0.02550214 |
N = 191 | ||||
1 | –98.1 | 0.67223344 | 0.1872747 | 0.01452257 |
2 | –94.3 | 0.70075621 | 0.22112031 | 0.01943466 |
4 | –90.5 | 0.7196321 | 0.24471727 | 0.02393159 |
6 | –90.9 | 0.71816017 | 0.24379217 | 0.02370239 |
8 | –90.4 | 0.71833134 | 0.24451461 | 0.02390559 |
16 | –90.4 | 0.71734228 | 0.244362 | 0.02399541 |
24 | –90.1 | 0.71838476 | 0.24599127 | 0.02444213 |
32 | –89 | 0.72239379 | 0.25075541 | 0.02551853 |
40 | –89.7 | 0.7188511 | 0.24690437 | 0.0247143 |
48 | –91.6 | 0.70888027 | 0.23598149 | 0.02243978 |
N = 223 | ||||
1 | –98.2 | 0.67257273 | 0.18768014 | 0.01460038 |
2 | –94.2 | 0.70072996 | 0.22108243 | 0.01942305 |
3 | –90.4 | 0.70262204 | 0.22302806 | 0.0188601 |
5 | –91 | 0.71641456 | 0.24126979 | 0.02309323 |
8 | –89.9 | 0.72166528 | 0.24835901 | 0.02473006 |
9 | –89.8 | 0.71674758 | 0.24252389 | 0.02331481 |
16 | –90.3 | 0.7179882 | 0.24507651 | 0.02414698 |
32 | –90.6 | 0.71403002 | 0.24119297 | 0.02341017 |
48 | –91.2 | 0.71143573 | 0.2386827 | 0.02297579 |
56 | –90.7 | 0.71338506 | 0.24097504 | 0.02348867 |
N = 255 | ||||
1 | –97.6 | 0.67176623 | 0.18670931 | 0.01441482 |
2 | –94.2 | 0.70070534 | 0.22105163 | 0.01941457 |
3 | –90.3 | 0.70233551 | 0.22263226 | 0.01874791 |
5 | –91 | 0.71654995 | 0.24140965 | 0.02311617 |
8 | –89.9 | 0.72164196 | 0.24831241 | 0.02471143 |
9 | –89.7 | 0.71673449 | 0.2424607 | 0.02328277 |
16 | –90.1 | 0.71885073 | 0.24604614 | 0.02435372 |
32 | –89.6 | 0.71549778 | 0.24342724 | 0.02411907 |
48 | –90.9 | 0.71268842 | 0.23999548 | 0.02323405 |
56 | –90.7 | 0.71349454 | 0.240994 | 0.02346651 |
64 | –91.3 | 0.71035623 | 0.23761455 | 0.02277658 |
3.142.35.75