dft

The Discrete Fourier Transform (DFT) is a mathematical operation that expresses a finite sequence of data points in terms of their frequency components.
离散傅里叶变换(DFT)是一种数学运算，它将有限的数据序列表示为其频率成分。
In signal processing, the DFT is used to analyze the frequency content of a time-domain signal.
在信号处理中，DFT用于分析时域信号的频率内容。
Computing the DFT of an audio signal can reveal its different frequency components, such as bass and treble.
计算音频信号的DFT可以揭示其不同的频率分量，如低音和高音。
The Fast Fourier Transform (FFT) algorithm significantly reduces the computational complexity of the DFT.
快速傅里叶变换(FFT)算法显著降低了DFT的计算复杂度。
By applying DFT to image processing, we can extract frequency domain features for image compression or noise reduction.
通过对图像处理应用DFT，我们可以提取频域特征来进行图像压缩或降噪。
The DFT of a periodic function can provide insight into its harmonic structure.
周期函数的DFT可以提供对其谐波结构的深入了解。
The DFT is an essential tool in spectral analysis for understanding the behavior of physical systems.
DFT是理解物理系统行为在谱分析中的一个关键工具。
In telecommunications, DFT helps in demodulating modulated signals by transforming them back from the frequency domain to the time domain.
在通信技术中，DFT通过将调制信号从频域转换回时域来帮助解调。
A DFT-based watermarking technique is used to embed copyright information in digital images or multimedia files.
基于DFT的水印技术用于将版权信息嵌入到数字图像或多媒休文件中。
The accuracy of the DFT approximation depends on the length of the input sequence and the sampling rate.
DFT近似值的准确性取决于输入序列的长度和采样率。