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[Feature request] Support FFT and DFT functions in the table model

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@DaZuiZui 已经在做这个了。

开始于 2026年6月22日。

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描述

good-first-issue New Feature
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Motivation
Motivation

IoTDB already provides frequency-domain analysis capabilities in the tree model through UDFs such as fft/ifft in library-udf. However, users who work with the table model currently do not have an equivalent built-in or library-level way to run FFT/DFT analysis directly in SQL.

For table-model workloads, frequency-domain analysis is useful for scenarios such as vibration monitoring, rotating machinery diagnosis, signal periodicity analysis, anomaly detection, and sensor data preprocessing. Users should be able to calculate Fourier transform results over a time-ordered numeric column, optionally partitioned by device/tag columns, without switching back to the tree model or exporting data to external tools.

Solution

Add FFT and DFT support for the IoTDB table model.

A possible design is to provide table-model functions such as fft and dft that can process a numeric column ordered by time and return frequency-domain results. The exact SQL syntax can be discussed, but the function should support table-model usage patterns, for example:

SELECT *
FROM TABLE(
  fft(
    TABLE(
      SELECT time, device_id, value
      FROM vibration
      WHERE time >= 0 AND time < 10000
    )
    PARTITION BY device_id
    ORDER BY time
  )
);

### Solution

_No response_

### Alternatives

_No response_

### Are you willing to submit a PR?

- [ ] I'm willing to submit a PR!
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