tommyleo 发表于 2009-8-31 10:57

FFT转换,求声音频率

各位高手,
我通过麦克录音,得到声音数据,然后通过FFT转换,却不知道该怎么求出声音的主频,
请指点。
录的声音频率是440HZ,采样频率是8000HZ,
我取了128个数据进行FFT转换,得到FFT得结果。如附件。
在第10个点和62个点得到最大值。但是如何求得频率是440HZ呢?

有人回答的是:
-----------------------------------------------------------------------------------------------------------------
假设采样频率为Fs,信号频率F,采样点数为N。那么FFT之后结果就是一个为N点的复数。每一个点就对应着一个频率点。这个点的模值,就是该频率值下的 幅度特性。具体跟原始信号的幅度有什么关系呢?假设原始信号的峰值为A,那么FFT的结果的每个点(除了第一个点直流分量之外)的模值就是A的N/2倍。 而第一个点就是直流分量,它的模值就是直流分量的N倍。而每个点的相位呢,就是在该频率下的信号的相位。第一个点表示直流分量(即0Hz),而最后一个点 N的再下一个点(实际上这个点是不存在的,这里是假设的第N+1个点,可以看做是将第一个点分做两半分,另一半移到最后)则表示采样频率Fs,这中间被 N-1个点平均分成N等份,每个点的频率依次增加。例如某点n所表示的频率为:

fn=(n-1)*fs/N
-------------------------------------------------------------------------------------------------------------------
我如果用 fn=(62-1)X8000/128=3812.5
和我想得到的440差距太大了。
是不是作FFT变换的点数少了还是什么原因?谢谢大家。



tommyleo 发表于 2009-8-31 12:45

在线等待中。。。。

bcyangbc 发表于 2009-9-2 10:59

1. 你画的是双边谱
2. 用于FFT的采样点数太少,频率分辨率太低

tommyleo 发表于 2009-9-3 09:33

非常感谢bcyangbc的回复。我也考虑到了这个问题。所以我用1024个点计算了。也还是不行。
我在想是不是可以只从我想要得频率范围内求解,因为,所有频率在400HZ- 比如只要从50点到110点之间的FFT结果进行分析。

如果只看56-106之间的点,可以发现79点最高,计算一下(79-1)*8000/1024结果是609,比实际587相差21,但是很接近了。但是不知道这样可不可行?

tommyleo 发表于 2009-9-4 08:29

顶起来,请高手帮着分析下,用FFT好像确定不了声音的频率呀,怎么办

songzy41 发表于 2009-9-4 09:35

看不明白LZ的图,能否把横坐标用频率来表示?

bcyangbc 发表于 2009-9-4 10:14

这是我模拟的一个含伪随机噪声的数据,1024点,440Hz的数据,FFT的结果(第一个图)已经很接近了。

如果把采样点数增加到8192,再看效果(第二个图)

[ 本帖最后由 bcyangbc 于 2009-9-4 18:06 编辑 ]

bcyangbc 发表于 2009-9-4 10:16

这是我模拟的一个含伪随机噪声的数据,1024点,440Hz的数据,FFT的结果为438HZ,当采样点数增加到8192时,结果就是440Hz

附件传不上来。。。

[ 本帖最后由 bcyangbc 于 2009-9-4 18:05 编辑 ]

bcyangbc 发表于 2009-9-4 10:18

这是采样点数增加到8192时的效果

bcyangbc 发表于 2009-9-4 10:20

这是我模拟的一个数据,1024点,440Hz的数据,FFT的结果(第一个图)已经很接近了。

如果把采样点数增加到8192,再看效果(第二个图)

[ 本帖最后由 bcyangbc 于 2009-9-4 18:05 编辑 ]

tommyleo 发表于 2009-9-4 12:43

感谢bcyangbc地回答。我是这样的,想测试乐器的单纯一个音调的频率,do re mi fa so ra xi那些调都有固定的频率,
所以我就通过收录一个440HZ得音调,来用FFT变换,看看能不能求出频率。
当然肯定会有杂音,或者倍频率。
一会我想办法到安静的房间里录一下,看看能不能得到好点的图,希望bcyangbc给与指导,谢谢。

tommyleo 发表于 2009-9-4 15:33

bcyangbc你好,我想可能你用的工具和我的不一样,我紧紧使用FFT计算后在Excel上生成的图形。
我又重新录了一段声音,还是求不出特征值,你能在你的程序上帮我执行下看看好吗?看看我的录音是不是有问题,还是
程序有问题。谢谢。
下面是1024个点的数据。采样频率8000HZ。
float[] byteArrayC = new float[]{276,-1483,1555,679,-1107,-1563,-105,-343,629,-1532,-1287,-1853,1071,447,-2052,1017,-185,1938,-999,-27,-1093,827,547,
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                193,-1584,-1623,-918,652,263,-2003,1084,1074,-1378,-416,-332,-1625,961,1271,1164,-1612,-723,2005,-538,866,2017,-560,-2064,1452,-1573,1383,1304,
                1251,1497,199,-597,1870,381,1463,2010,146,1289,669,-1878,-1726,731,1397,-1872,-1705,-1672,-735,1501,1852,-1953,1550,925,-445,388,1871,1567,
                -1953,-1813,-1046,734,250,851,-1910,1398,-362,-1703,156,-122,1805,1793,1487,-1518,454,504,-882,-1401,27,-1212,-980,1196,839,-430,-1895,-388,
                -591,-1560,-1717,677,-1879,1650,1193,-137,205,-185,886,-1372,2037,592,-1763,1404,-642,-320,877,1700,1411,-283,-841,-1745,366,-1208,-363,435,936,
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      };

tommyleo 发表于 2009-9-4 15:34

我求出的FFT结果
y = fft(x)
-------------------
-84766.0
33640.95424971664 - 15788.500923364007i
28233.783279320895 + 18990.20745174757i
-14580.924913805467 + 12174.830833670942i
-26969.222236457645 - 23474.35332332275i
9238.42928038261 + 5109.616713110661i
57.84548208062097 - 12737.840736900553i
-23381.570223395003 + 45578.6964747576i
23613.548385179398 - 20848.26891582175i
43525.52024684986 + 9050.254546931767i
-17528.925620490772 + 48384.76746015628i
39375.681917568574 + 43740.09596310743i
39372.43533479409 + 10074.606913257216i
10663.908364744235 + 26099.674825277074i
-329.0187683786435 + 2764.2655092438645i
-6012.7406556717415 - 15198.760332659771i
8533.502827240642 - 43714.65471789137i
5536.103618599125 + 55318.74921671901i
513.5177477284351 + 4279.848746690972i
6384.180054997658 - 10487.164534653777i
-58002.10581159973 + 8701.092004628881i
9720.800896265473 + 11747.840624273385i
-7681.189066740657 + 46702.9388794467i
-18776.607556675437 + 17128.883818993545i
-28295.571938054265 + 16889.275933945617i
-30709.73789641397 + 20516.874273784277i
-13470.979429886791 + 25248.641649488283i
-2139.3849614352057 - 10530.74729567548i
42095.310423216055 + 24002.06635884611i
-3453.341293163441 - 39689.711778265606i
-27322.50019172115 - 5030.816738256368i
-28840.61361510003 + 30198.691473285136i
-11081.182793482254 + 14241.120259173786i
-8085.227587326013 - 9405.937366276637i
12853.464259949633 + 32355.86785973247i
-52507.22766298181 + 38366.99572002999i
34656.42324190879 - 26344.3474386528i
7382.819668502893 - 18835.369444137566i
9292.402299579686 - 6055.697296326838i
-14322.108851906909 + 30235.372358507353i
10526.539285935869 - 1843.9548215838404i
10136.720372181762 + 9777.59870877619i
9114.02201023833 - 17210.071469511768i
7345.383342177043 - 58396.094572238755i
4156.199117558721 - 26529.87111904775i
1223.0188719326543 + 8403.468805985704i
3534.3866968736 + 19326.22519417252i
32443.241976794165 - 17448.672665322272i
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79930.00601446835 + 7174.142447203163i
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51809.31535152071 + 8883.459698933691i
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9961.552864002686 + 39288.33089356235i
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45226.91817768378 - 13333.92894562209i
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37420.97439427334 - 6922.247721765083i
17205.727754691343 + 15208.896908424394i
41495.183144119685 - 14577.871246865045i
9516.860669650918 + 17381.590984880968i
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7967.66120624085 - 15344.721051709006i
10332.876091017275 + 3797.187191686953i
29553.494002158684 - 2924.124984305994i
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tommyleo 发表于 2009-9-4 15:35

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bcyangbc 发表于 2009-9-4 16:44

这是你的谱图,看看吧

[ 本帖最后由 bcyangbc 于 2009-9-4 18:03 编辑 ]
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