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CNC Condition Monitoring

Frequency-Band Energy for CNC Monitoring

Turn a detailed spectrum into explainable low-, mid- and high-frequency features without losing physical meaning.

Updated August 15, 20263 minute read
Frequency-band energy share for selected OP04 good and bad files
X-axis spectral energy is summarized into four frequency ranges. Chart created by TWC Industrial from the Bosch Research CNC Machining dataset.

A spectrum may contain thousands of bins. Band energy combines selected bins into a smaller set of features that can be trended and explained.

How a band is calculated

Square spectral amplitude or use a consistent power estimate, then sum or integrate values between defined frequencies.

Why use energy shares

Dividing by total energy emphasizes distribution. Keep absolute band energy too because shares can change when another band grows.

Choose boundaries carefully

Round bands are useful for teaching, but production bands should reflect rotation, tooth passing, resonances or validated model needs.

Avoid hidden processing changes

Window, overlap and normalization must be versioned with the feature.

Design a band feature

Calculate expected process frequencies, inspect healthy spectra across several cycles and define a band wide enough to tolerate normal speed variation.

Trend both absolute band RMS and its share of total spectrum. Review changes with speed, tool and part-quality data.

FeatureStrengthLimitation
Absolute band energyShows scaleAffected by overall load
Energy shareShows distributionCan move indirectly
Peak in bandSimpleSensitive to one bin

Common mistakes to avoid

  • Choosing bands after viewing test labels.
  • Overlapping bands without documentation.
  • Using arbitrary boundaries as fault labels.

Frequently asked questions

How many bands are needed?

Start small and add only bands with stable value.

Can bands overlap?

Yes, if intentional and documented.

Do bands replace FFT plots?

No; spectra remain useful for investigation.

Practical workflow for this method

Test band stability across healthy dates before using anomaly separation as evidence.

If spindle speed varies, consider order tracking or speed-adjusted band locations.

Estimate repeatability of each band across healthy cycles. A naturally unstable band creates poor alerts even if one chart looks separated.

Version every band definition: edges, spectrum method, window, normalization and units. A name without settings is not reproducible.

For discrete spectra, a consistent teaching calculation sums squared magnitudes inside each frequency mask. Production work should define amplitude normalization and whether the result is energy, power spectral density or band RMS. These terms are related but not interchangeable.

Test the band under small normal speed changes. If the target component moves outside a narrow fixed band, widen it, follow speed with an order-based band, or use a peak-tracking method. A feature must tolerate expected operation while remaining sensitive to relevant change.

About the data used in this guide

The charts use a small teaching sample selected from machines M01, M02 and M03, primarily operations OP03 and OP04. The source records tri-axial acceleration at 2 kHz and labels available examples as good or bad. Label coverage is uneven across machine-operation groups, so missing groups are not treated as healthy evidence. These figures are transparent worked examples, not population estimates or universal fault thresholds.

Dataset: CNC Machining Data, CC BY 4.0. Recommended citation: Tnani, Mohamed-Ali; Feil, Michael; Diepold, Klaus. Smart Data Collection System for Brownfield CNC Milling Machines: A New Benchmark Dataset for Data-Driven Machine Monitoring. Procedia CIRP 107 (2022), 131–136. Research paper.

Editorial standard

We explain what the selected data supports and avoid naming a mechanical fault when the dataset only provides a good/bad process label. A machine should be inspected by a qualified person before maintenance or safety decisions are made.