1. 程式人生 > >【matlab】freqz函式的使用(一)

【matlab】freqz函式的使用(一)

>> help freqz

freqz - Frequency response of filter

        濾波器的頻率響應



    This MATLAB function returns the frequency response h and the corresponding

    frequencies w at which the filter response of hfilt is computed.

         當計算濾波器響應hfilt時  這個MATLAB函式返回頻率響應h 和 相應頻率w

    [h,w] = freqz(hfilt)
    [h,w] = freqz(hfilt,n)
    freqz(hfilt)
    [h,w] = freqz(hs)
    [h,w] = freqz(hs,n)
    [h,w] = freqz(hs,Name,Value)
    freqz(hs)
>> wn3 = hamming(10)% 2^(10-1)

wn3 =

    0.0800
    0.1876
    0.4601
    0.7700
    0.9723
    0.9723
    0.7700
    0.4601
    0.1876
    0.0800
>> [h1,w3] = freqz(wn3,1)  % 2^(10-1)

h1 =

   4.9400 + 0.0000i
   4.9378 - 0.1364i
   4.9312 - 0.2726i
   4.9201 - 0.4085i
   4.9047 - 0.5439i
   4.8848 - 0.6787i
   4.8607 - 0.8127i
   4.8322 - 0.9458i
   4.7994 - 1.0777i
   4.7624 - 1.2085i
   4.7212 - 1.3378i
   4.6759 - 1.4655i
   4.6265 - 1.5916i
   4.5732 - 1.7159i
   4.5159 - 1.8382i
   4.4548 - 1.9583i
   4.3899 - 2.0763i
   4.3213 - 2.1918i
   4.2492 - 2.3049i
   4.1736 - 2.4153i
   4.0946 - 2.5230i
   4.0123 - 2.6279i
   3.9269 - 2.7297i
   3.8384 - 2.8286i
   3.7470 - 2.9242i
   3.6528 - 3.0166i
   3.5560 - 3.1057i
   3.4565 - 3.1913i
   3.3547 - 3.2733i
   3.2506 - 3.3518i
   3.1443 - 3.4267i
   3.0360 - 3.4978i
   2.9258 - 3.5651i
   2.8139 - 3.6286i
   2.7005 - 3.6882i
   2.5855 - 3.7439i
   2.4693 - 3.7956i
   2.3520 - 3.8434i
   2.2336 - 3.8871i
   2.1144 - 3.9268i
   1.9945 - 3.9624i
   1.8741 - 3.9940i
   1.7532 - 4.0216i
   1.6321 - 4.0451i
   1.5108 - 4.0646i
   1.3896 - 4.0800i
   1.2686 - 4.0915i
   1.1479 - 4.0990i
   1.0276 - 4.1025i
   0.9080 - 4.1022i
   0.7890 - 4.0979i
   0.6710 - 4.0899i
   0.5539 - 4.0781i
   0.4379 - 4.0627i
   0.3232 - 4.0435i
   0.2099 - 4.0209i
   0.0981 - 3.9947i
  -0.0122 - 3.9651i
  -0.1207 - 3.9321i
  -0.2274 - 3.8959i
  -0.3321 - 3.8565i
  -0.4348 - 3.8140i
  -0.5354 - 3.7685i
  -0.6338 - 3.7202i
  -0.7298 - 3.6690i
  -0.8235 - 3.6151i
  -0.9146 - 3.5587i
  -1.0033 - 3.4998i
  -1.0893 - 3.4385i
  -1.1726 - 3.3749i
  -1.2532 - 3.3092i
  -1.3310 - 3.2415i
  -1.4060 - 3.1718i
  -1.4780 - 3.1003i
  -1.5471 - 3.0272i
  -1.6133 - 2.9525i
  -1.6764 - 2.8764i
  -1.7365 - 2.7989i
  -1.7936 - 2.7203i
  -1.8476 - 2.6405i
  -1.8985 - 2.5598i
  -1.9463 - 2.4782i
  -1.9910 - 2.3959i
  -2.0327 - 2.3130i
  -2.0712 - 2.2296i
  -2.1067 - 2.1459i
  -2.1392 - 2.0618i
  -2.1686 - 1.9776i
  -2.1950 - 1.8934i
  -2.2184 - 1.8092i
  -2.2388 - 1.7252i
  -2.2563 - 1.6414i
  -2.2710 - 1.5581i
  -2.2828 - 1.4752i
  -2.2919 - 1.3929i
  -2.2982 - 1.3112i
  -2.3018 - 1.2303i
  -2.3028 - 1.1503i
  -2.3012 - 1.0711i
  -2.2971 - 0.9930i
  -2.2905 - 0.9160i
  -2.2816 - 0.8401i
  -2.2704 - 0.7655i
  -2.2569 - 0.6922i
  -2.2412 - 0.6202i
  -2.2235 - 0.5497i
  -2.2037 - 0.4807i
  -2.1820 - 0.4132i
  -2.1585 - 0.3473i
  -2.1331 - 0.2831i
  -2.1061 - 0.2205i
  -2.0774 - 0.1597i
  -2.0472 - 0.1006i
  -2.0156 - 0.0433i
  -1.9825 + 0.0122i
  -1.9482 + 0.0658i
  -1.9127 + 0.1175i
  -1.8761 + 0.1674i
  -1.8384 + 0.2153i
  -1.7997 + 0.2613i
  -1.7602 + 0.3054i
  -1.7199 + 0.3476i
  -1.6789 + 0.3878i
  -1.6372 + 0.4261i
  -1.5950 + 0.4625i
  -1.5523 + 0.4970i
  -1.5092 + 0.5296i
  -1.4657 + 0.5602i
  -1.4220 + 0.5890i
  -1.3781 + 0.6159i
  -1.3341 + 0.6410i
  -1.2901 + 0.6643i
  -1.2460 + 0.6858i
  -1.2020 + 0.7055i
  -1.1582 + 0.7235i
  -1.1146 + 0.7398i
  -1.0712 + 0.7544i
  -1.0282 + 0.7675i
  -0.9855 + 0.7789i
  -0.9432 + 0.7887i
  -0.9014 + 0.7971i
  -0.8601 + 0.8040i
  -0.8194 + 0.8094i
  -0.7793 + 0.8135i
  -0.7398 + 0.8162i
  -0.7010 + 0.8177i
  -0.6628 + 0.8179i
  -0.6255 + 0.8169i
  -0.5889 + 0.8147i
  -0.5531 + 0.8115i
  -0.5181 + 0.8071i
  -0.4839 + 0.8018i
  -0.4507 + 0.7956i
  -0.4183 + 0.7884i
  -0.3868 + 0.7803i
  -0.3562 + 0.7715i
  -0.3266 + 0.7619i
  -0.2979 + 0.7515i
  -0.2701 + 0.7405i
  -0.2433 + 0.7289i
  -0.2174 + 0.7167i
  -0.1925 + 0.7040i
  -0.1685 + 0.6908i
  -0.1455 + 0.6771i
  -0.1235 + 0.6631i
  -0.1023 + 0.6486i
  -0.0821 + 0.6339i
  -0.0629 + 0.6189i
  -0.0445 + 0.6036i
  -0.0271 + 0.5882i
  -0.0105 + 0.5726i
   0.0051 + 0.5568i
   0.0199 + 0.5410i
   0.0339 + 0.5251i
   0.0470 + 0.5091i
   0.0593 + 0.4932i
   0.0708 + 0.4773i
   0.0815 + 0.4614i
   0.0915 + 0.4456i
   0.1007 + 0.4300i
   0.1092 + 0.4144i
   0.1170 + 0.3990i
   0.1242 + 0.3838i
   0.1307 + 0.3688i
   0.1365 + 0.3539i
   0.1418 + 0.3393i
   0.1465 + 0.3250i
   0.1506 + 0.3109i
   0.1541 + 0.2971i
   0.1572 + 0.2835i
   0.1597 + 0.2702i
   0.1618 + 0.2573i
   0.1635 + 0.2446i
   0.1647 + 0.2323i
   0.1655 + 0.2203i
   0.1659 + 0.2086i
   0.1660 + 0.1973i
   0.1657 + 0.1863i
   0.1651 + 0.1756i
   0.1642 + 0.1652i
   0.1631 + 0.1552i
   0.1616 + 0.1456i
   0.1599 + 0.1363i
   0.1580 + 0.1273i
   0.1559 + 0.1186i
   0.1536 + 0.1103i
   0.1512 + 0.1024i
   0.1486 + 0.0947i
   0.1458 + 0.0874i
   0.1429 + 0.0804i
   0.1399 + 0.0737i
   0.1368 + 0.0673i
   0.1336 + 0.0612i
   0.1303 + 0.0554i
   0.1270 + 0.0499i
   0.1236 + 0.0446i
   0.1201 + 0.0397i
   0.1167 + 0.0350i
   0.1132 + 0.0306i
   0.1096 + 0.0264i
   0.1061 + 0.0225i
   0.1026 + 0.0188i
   0.0991 + 0.0153i
   0.0956 + 0.0121i
   0.0921 + 0.0091i
   0.0887 + 0.0063i
   0.0853 + 0.0037i
   0.0819 + 0.0013i
   0.0785 - 0.0010i
   0.0752 - 0.0030i
   0.0720 - 0.0049i
   0.0687 - 0.0066i
   0.0656 - 0.0081i
   0.0625 - 0.0095i
   0.0595 - 0.0107i
   0.0565 - 0.0118i
   0.0536 - 0.0127i
   0.0507 - 0.0135i
   0.0479 - 0.0142i
   0.0452 - 0.0148i
   0.0425 - 0.0152i
   0.0400 - 0.0156i
   0.0374 - 0.0158i
   0.0350 - 0.0159i
   0.0326 - 0.0159i
   0.0303 - 0.0158i
   0.0281 - 0.0157i
   0.0259 - 0.0154i
   0.0238 - 0.0151i
   0.0218 - 0.0147i
   0.0199 - 0.0142i
   0.0180 - 0.0136i
   0.0162 - 0.0130i
   0.0145 - 0.0123i
   0.0128 - 0.0115i
   0.0113 - 0.0106i
   0.0098 - 0.0098i
   0.0083 - 0.0088i
   0.0070 - 0.0078i
   0.0057 - 0.0067i
   0.0045 - 0.0056i
   0.0034 - 0.0045i
   0.0024 - 0.0033i
   0.0014 - 0.0021i
   0.0005 - 0.0008i
  -0.0003 + 0.0005i
  -0.0010 + 0.0018i
  -0.0017 + 0.0032i
  -0.0023 + 0.0046i
  -0.0027 + 0.0060i
  -0.0032 + 0.0075i
  -0.0035 + 0.0089i
  -0.0037 + 0.0104i
  -0.0039 + 0.0119i
  -0.0040 + 0.0134i
  -0.0040 + 0.0149i
  -0.0039 + 0.0164i
  -0.0037 + 0.0180i
  -0.0035 + 0.0195i
  -0.0032 + 0.0210i
  -0.0028 + 0.0225i
  -0.0023 + 0.0240i
  -0.0017 + 0.0255i
  -0.0011 + 0.0269i
  -0.0003 + 0.0283i
   0.0005 + 0.0298i
   0.0013 + 0.0311i
   0.0023 + 0.0325i
   0.0033 + 0.0338i
   0.0044 + 0.0351i
   0.0056 + 0.0363i
   0.0069 + 0.0375i
   0.0082 + 0.0386i
   0.0096 + 0.0397i
   0.0110 + 0.0407i
   0.0125 + 0.0417i
   0.0141 + 0.0426i
   0.0157 + 0.0434i
   0.0174 + 0.0442i
   0.0191 + 0.0449i
   0.0208 + 0.0455i
   0.0227 + 0.0461i
   0.0245 + 0.0465i
   0.0264 + 0.0469i
   0.0283 + 0.0472i
   0.0302 + 0.0474i
   0.0322 + 0.0476i
   0.0342 + 0.0476i
   0.0362 + 0.0476i
   0.0382 + 0.0474i
   0.0402 + 0.0472i
   0.0422 + 0.0469i
   0.0442 + 0.0464i
   0.0462 + 0.0459i
   0.0482 + 0.0453i
   0.0502 + 0.0446i
   0.0521 + 0.0438i
   0.0540 + 0.0430i
   0.0559 + 0.0420i
   0.0577 + 0.0409i
   0.0595 + 0.0398i
   0.0613 + 0.0385i
   0.0630 + 0.0372i
   0.0646 + 0.0358i
   0.0662 + 0.0343i
   0.0677 + 0.0328i
   0.0691 + 0.0312i
   0.0705 + 0.0295i
   0.0718 + 0.0277i
   0.0730 + 0.0259i
   0.0741 + 0.0240i
   0.0752 + 0.0220i
   0.0761 + 0.0201i
   0.0769 + 0.0180i
   0.0777 + 0.0159i
   0.0783 + 0.0138i
   0.0789 + 0.0117i
   0.0793 + 0.0095i
   0.0797 + 0.0074i
   0.0799 + 0.0052i
   0.0800 + 0.0029i
   0.0800 + 0.0007i
   0.0799 - 0.0015i
   0.0797 - 0.0037i
   0.0794 - 0.0059i
   0.0790 - 0.0080i
   0.0784 - 0.0102i
   0.0778 - 0.0123i
   0.0771 - 0.0143i
   0.0762 - 0.0164i
   0.0752 - 0.0184i
   0.0742 - 0.0203i
   0.0730 - 0.0222i
   0.0718 - 0.0240i
   0.0705 - 0.0257i
   0.0690 - 0.0274i
   0.0675 - 0.0290i
   0.0660 - 0.0305i
   0.0643 - 0.0319i
   0.0626 - 0.0332i
   0.0608 - 0.0344i
   0.0589 - 0.0356i
   0.0570 - 0.0366i
   0.0550 - 0.0375i
   0.0530 - 0.0383i
   0.0510 - 0.0390i
   0.0489 - 0.0396i
   0.0468 - 0.0401i
   0.0447 - 0.0405i
   0.0425 - 0.0407i
   0.0404 - 0.0409i
   0.0382 - 0.0409i
   0.0361 - 0.0408i
   0.0339 - 0.0405i
   0.0318 - 0.0402i
   0.0297 - 0.0398i
   0.0276 - 0.0392i
   0.0256 - 0.0385i
   0.0236 - 0.0377i
   0.0216 - 0.0368i
   0.0197 - 0.0358i
   0.0179 - 0.0347i
   0.0161 - 0.0335i
   0.0144 - 0.0321i
   0.0127 - 0.0307i
   0.0112 - 0.0292i
   0.0097 - 0.0277i
   0.0083 - 0.0260i
   0.0070 - 0.0243i
   0.0058 - 0.0225i
   0.0048 - 0.0206i
   0.0038 - 0.0187i
   0.0029 - 0.0167i
   0.0021 - 0.0147i
   0.0015 - 0.0126i
   0.0009 - 0.0105i
   0.0005 - 0.0084i
   0.0002 - 0.0062i
   0.0000 - 0.0040i
  -0.0000 - 0.0019i
   0.0000 + 0.0003i
   0.0002 + 0.0025i
   0.0005 + 0.0047i
   0.0009 + 0.0068i
   0.0014 + 0.0089i
   0.0021 + 0.0110i
   0.0029 + 0.0131i
   0.0037 + 0.0151i
   0.0047 + 0.0171i
   0.0058 + 0.0190i
   0.0070 + 0.0208i
   0.0083 + 0.0226i
   0.0097 + 0.0243i
   0.0112 + 0.0259i
   0.0128 + 0.0275i
   0.0144 + 0.0289i
   0.0162 + 0.0303i
   0.0180 + 0.0315i
   0.0199 + 0.0327i
   0.0218 + 0.0338i
   0.0238 + 0.0347i
   0.0259 + 0.0356i
   0.0280 + 0.0363i
   0.0301 + 0.0369i
   0.0323 + 0.0374i
   0.0344 + 0.0378i
   0.0366 + 0.0380i
   0.0389 + 0.0381i
   0.0411 + 0.0382i
   0.0433 + 0.0380i
   0.0455 + 0.0378i
   0.0477 + 0.0374i
   0.0499 + 0.0370i
   0.0520 + 0.0364i
   0.0541 + 0.0357i
   0.0561 + 0.0348i
   0.0582 + 0.0339i
   0.0601 + 0.0328i
   0.0620 + 0.0317i
   0.0638 + 0.0304i
   0.0656 + 0.0291i
   0.0672 + 0.0276i
   0.0688 + 0.0261i
   0.0703 + 0.0244i
   0.0717 + 0.0227i
   0.0730 + 0.0209i
   0.0742 + 0.0191i
   0.0753 + 0.0172i
   0.0763 + 0.0152i
   0.0772 + 0.0132i
   0.0780 + 0.0111i
   0.0786 + 0.0090i
   0.0791 + 0.0068i
   0.0796 + 0.0046i
   0.0798 + 0.0024i
   0.0800 + 0.0002i
   0.0800 - 0.0020i
   0.0799 - 0.0042i
   0.0797 - 0.0064i
   0.0794 - 0.0086i
   0.0789 - 0.0107i
   0.0783 - 0.0129i
   0.0776 - 0.0149i
   0.0768 - 0.0170i
   0.0759 - 0.0190i
   0.0748 - 0.0210i
   0.0737 - 0.0228i
   0.0724 - 0.0247i
   0.0711 - 0.0264i
   0.0696 - 0.0281i
   0.0681 - 0.0297i
   0.0664 - 0.0312i
   0.0647 - 0.0326i
   0.0629 - 0.0339i
   0.0611 - 0.0351i
   0.0591 - 0.0362i
   0.0571 - 0.0372i
   0.0551 - 0.0380i
   0.0530 - 0.0388i
   0.0509 - 0.0394i
   0.0487 - 0.0400i
   0.0465 - 0.0404i
   0.0443 - 0.0406i
   0.0421 - 0.0408i
   0.0398 - 0.0408i
   0.0376 - 0.0407i
   0.0354 - 0.0405i
   0.0331 - 0.0401i
   0.0309 - 0.0397i
   0.0288 - 0.0391i
   0.0267 - 0.0383i
   0.0246 - 0.0375i
   0.0225 - 0.0366i
   0.0205 - 0.0355i
   0.0186 - 0.0343i
   0.0168 - 0.0331i
   0.0150 - 0.0317i
   0.0133 - 0.0302i
   0.0117 - 0.0286i
   0.0101 - 0.0270i
   0.0087 - 0.0252i
   0.0073 - 0.0234i
   0.0061 - 0.0215i
   0.0050 - 0.0196i
   0.0039 - 0.0175i
   0.0030 - 0.0155i
   0.0022 - 0.0134i
   0.0016 - 0.0112i
   0.0010 - 0.0090i
   0.0006 - 0.0068i
   0.0003 - 0.0045i
   0.0001 - 0.0023i


w3 =

         0
    0.0061
    0.0123
    0.0184
    0.0245
    0.0307
    0.0368
    0.0430
    0.0491
    0.0552
    0.0614
    0.0675
    0.0736
    0.0798
    0.0859
    0.0920
    0.0982
    0.1043
    0.1104
    0.1166
    0.1227
    0.1289
    0.1350
    0.1411
    0.1473
    0.1534
    0.1595
    0.1657
    0.1718
    0.1779
    0.1841
    0.1902
    0.1963
    0.2025
    0.2086
    0.2148
    0.2209
    0.2270
    0.2332
    0.2393
    0.2454
    0.2516
    0.2577
    0.2638
    0.2700
    0.2761
    0.2823
    0.2884
    0.2945
    0.3007
    0.3068
    0.3129
    0.3191
    0.3252
    0.3313
    0.3375
    0.3436
    0.3497
    0.3559
    0.3620
    0.3682
    0.3743
    0.3804
    0.3866
    0.3927
    0.3988
    0.4050
    0.4111
    0.4172
    0.4234
    0.4295
    0.4357
    0.4418
    0.4479
    0.4541
    0.4602
    0.4663
    0.4725
    0.4786
    0.4847
    0.4909
    0.4970
    0.5031
    0.5093
    0.5154
    0.5216
    0.5277
    0.5338
    0.5400
    0.5461
    0.5522
    0.5584
    0.5645
    0.5706
    0.5768
    0.5829
    0.5890
    0.5952
    0.6013
    0.6075
    0.6136
    0.6197
    0.6259
    0.6320
    0.6381
    0.6443
    0.6504
    0.6565
    0.6627
    0.6688
    0.6750
    0.6811
    0.6872
    0.6934
    0.6995
    0.7056
    0.7118
    0.7179
    0.7240
    0.7302
    0.7363
    0.7424
    0.7486
    0.7547
    0.7609
    0.7670
    0.7731
    0.7793
    0.7854
    0.7915
    0.7977
    0.8038
    0.8099
    0.8161
    0.8222
    0.8283
    0.8345
    0.8406
    0.8468
    0.8529
    0.8590
    0.8652
    0.8713
    0.8774
    0.8836
    0.8897
    0.8958
    0.9020
    0.9081
    0.9143
    0.9204
    0.9265
    0.9327
    0.9388
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