Korttidsfourieranalyse

Korttidsfourieranalyse is a mathematical technique used to decompose a function or a signal into its constituent frequencies. It is a type of Fourier analysis, which is a broad field of study that encompasses various methods for decomposing signals into their frequency components.

The korttidsfourieranalyse, also known as the short-time Fourier transform (STFT), is a specific implementation of the Fourier analysis that is commonly used in signal processing and analysis. The STFT is a time-frequency representation of a signal, which means that it decomposes the signal into its frequency components while also preserving the time information.

In a traditional Fourier analysis, the entire signal is treated as a single entity, and the frequencies are calculated for the entire signal. In contrast, the STFT breaks down the signal into smaller segments, called frames, and calculates the frequencies for each frame. This allows for the analysis of the signal's frequency properties at different points in time.

The korttidsfourieranalyse is widely used in various fields, including music information retrieval, audio processing, and telecommunications. It is particularly useful for applications that require the analysis of non-stationary signals, such as audio signals that change over time.

The STFT has some limitations, including the trade-off between time and frequency resolution. A larger window size improves frequency resolution but reduces time resolution, while a smaller window size improves time resolution but reduces frequency resolution. Despite these limitations, the korttidsfourieranalyse remains a powerful tool in signal processing and analysis.