Frequencyresolved

Frequencyresolved is a term used in signal processing and related disciplines to describe analyses, methods, or data that resolve the spectral content of a signal with respect to time. It refers to approaches that track how energy or amplitude is distributed across frequencies as a function of time, providing a time-varying view of the spectrum. This contrasts with purely time-domain analyses, which focus on waveform shape over time, and pure frequency-domain analyses, which summarize overall spectral content without explicit time localization.

The core idea of frequency-resolved analysis is time-frequency representation. Common methods include the short-time Fourier transform and the resulting spectrogram, which computes the Fourier spectrum within a moving window, yielding a two-dimensional plot of frequency versus time. Wavelet transforms offer multiresolution frequency content, handling transient features more adaptively. Other techniques include the Wigner-Ville distribution and various reassignment methods that aim to sharpen time-frequency energy concentration. Together, these tools enable examination of nonstationary signals whose spectral characteristics change over time.

Applications of frequencyresolved methods span audio and music analysis, speech processing, communications signal analysis, seismology, and optical pulse characterization in physics. In each domain, frequency-resolved analysis helps identify evolving spectral features, detect transient events, and improve interpretation of complex signals. See also time-frequency analysis and frequency-domain methods.