擅长:python、mysql、java
<p>离散傅里叶变换(DFT)与傅里叶级数<a href="http://www.dsprelated.com/freebooks/mdft/Relation_DFT_Fourier_Series.html" rel="nofollow">can be summarized as follows</a>之间的关系</p>
<blockquote>
<p>The Fourier series coefficients of a periodic signal x are given by the DFT of one period of x, divided by N, were N is also the number of samples in each period.</p>
</blockquote>
<p>这意味着只有当信号的周期等于其采样率的<code>N</code>倍时,傅里叶级数和DFT才是相关的,一般情况下并非如此。在</p>
<p>因此,在实际中,当你需要DFT时,使用<code>scipy.fftpack.fft</code>,而Fourier级数系数可以用<a href="https://stackoverflow.com/q/4258106/1791279">a direct summation in python</a>计算。网上有很多关于这两个概念的文献,但不要把两者混为一谈,因为这可能会让人大惑不解,反而会有所帮助。在</p>