FFT转换，求声音频率

tommyleo

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

在线等待中。。。。

bcyangbc

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

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

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

看不明白LZ的图，能否把横坐标用频率来表示？

bcyangbc

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

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

这是采样点数增加到8192时的效果

bcyangbc

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

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

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。
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        };

tommyleo

我求出的FFT结果
y = fft(x)
-------------------
-84766.0
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28233.783279320895 + 18990.20745174757i
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bcyangbc

这是你的谱图，看看吧

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