英语翻译In complex notation,the time and frequency domains each contain one signal made up of N complex points.Each of these complex points is composed of two numbers,the real part and the imaginary part.For example,when we talkabout complex samp

英语翻译In complex notation,the time and frequency domains each contain one signal made up of N complex points.Each of these complex points is composed of two numbers,the real part and the imaginary part.For example,when we talkabout complex samp
英语翻译
In complex notation,the time and frequency domains each contain one signal made up of N complex points.Each of these complex points is composed of two numbers,the real part and the imaginary part.For example,when we talk
about complex sample
X[42] ,it refers to the combination of
Re X[42]
and
Im X[42] .In other words,each complex variable holds two numbers.When two complex variables are multiplied,the four individual components must be combined to form the two components of the product (such as in Eq.9-1).The following discussion on "How the FFT works" uses this jargon of complex notation.That is,the singular terms:signal,point,sample,and value,refer to the combination of the real part and the imaginary part.
The FFT operates by decomposing an N point time domain signal into N time domain signals each composed of a single point.The second step is to calculate the N frequency spectra corresponding to these N time domain signals.Lastly,the N spectra are synthesized into a single frequency spectrum.

英语翻译In complex notation,the time and frequency domains each contain one signal made up of N complex points.Each of these complex points is composed of two numbers,the real part and the imaginary part.For example,when we talkabout complex samp
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In complex notation,the time and frequency domains each contain one signal made up of N complex points.在复数记法中,时域和频域每一个都包含一个由N个复数点构成的信号.Each of these complex points is composed of two numbers,the real part and the imaginary part.这些复数点中的每一个都由两个数,即实部和虚部组成.For example,when we talk
about complex sample
X[42] ,it refers to the combination of
Re X[42]and Im X[42] .例如当我们谈论复数样本X[42]时,它指的是Re X[42]和 Im X[42]的组合.In other words,each complex variable holds two numbers.换句话说,每一个复数变量都具有两个数.When two complex variables are multiplied,the four individual components must be combined to form the two components of the product (such as in Eq.9-1).当两个复数变量相乘时,必须结合进四个独立的分量来形成两个积的分量（就如在公式9－1中）.The following discussion on "How the FFT works" uses this jargon of complex notation.下面对“FFT（快速傅立叶变换）如何发挥作用”的讨论采用了这一复数记法的专门术语.That is,the singular terms:signal,point,sample,and value,refer to the combination of the real part and the imaginary part.也就是说,单一的术语：信号、点、样本和数值指的是实部和虚部的组合.
The FFT operates by decomposing an N point time domain signal into N time domain signals each composed of a single point.FFT通过将一个N点时域信号分解成N个时域信号（每个都由一个点组成）而运算.The second step is to calculate the N frequency spectra corresponding to these N time domain signals.第二步是计算与这N个时域信号相应的N个频谱.Lastly,the N spectra are synthesized into a single frequency spectrum最后,该N个频谱被合成成一个单一的频谱.