V2EX short-time fourier transform

Short-Time Fourier Transform

定义 Definition

短时傅里叶变换(STFT):一种把信号按时间分段(用窗函数截取短片段)后,对每个片段做傅里叶变换的方法,用于观察频率成分如何随时间变化,常见输出是时频图(spectrogram)。在音频、语音、振动与通信信号分析中非常常用。

发音 Pronunciation

/rt tam frie trnzfrm/

例句 Examples

The short-time Fourier transform shows how the pitch changes over time.
短时傅里叶变换可以显示音高如何随时间变化。

Using a Hamming window, we computed the short-time Fourier transform to analyze transient noise in the recording.
我们使用汉明窗计算短时傅里叶变换,以分析录音中的瞬态噪声。

词源 Etymology

short-time 表示“短时间/短时分段”,强调把信号在时间轴上切成许多短片段;Fourier transform 源于法国数学家 Joseph Fourier(傅里叶) 的工作,用来把信号从时域转换到频域。合在一起,STFT 的核心思想就是:用窗函数在局部时间范围内做傅里叶变换,从而得到“时间频率”的联合表示

相关词 Related Words

文学/经典著作中的用例 Literary Works

  • Discrete-Time Signal Processing(Oppenheim & Schafer)
  • “Short-Time Fourier Analysis”/“Short-Time Fourier Transform” 相关经典论文(Allen & Rabiner, 1977)
  • Time-Frequency Analysis(Leon Cohen)
  • Time-Frequency Signal Analysis and Processing(B. Boashash, ed.)
  • Spectral Audio Signal Processing(Julius O. Smith)
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