Exercise · ZW-SHORT-TIME-FOURIER-TRANSFORM-009 · ★★☆ Intermediate

A 1024-sample signal is analyzed with an STFT of window \( L=128 \) and hop \( R=64 \), with no padding. How many complete frames are obtained?

Choose one option.

Show answer
  • A. \( 15 \)

Explanation

The number of complete frames is \( \lfloor (1024-128)/64\rfloor+1=15 \). Dividing 1024 by 64 alone gives 16, but the last frame must fit entirely within the signal.

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Review the concept: Short-time Fourier transform

The short-time Fourier transform (STFT, \( X(\tau,\omega) \)) describes how the frequency content of a signal varies over time using a sliding window.

\[X(\tau,\omega)=\sum_{n} x[n]\,w[n-\tau]\,e^{-j\omega n}\]

More practice problems: short-time fourier transform

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