Alpha Theta Power Ratio Calculator

Actual qualified band powers quotient from supplied uniform PSD centers×width, half open MNE bands alpha8–12, theta4–8, beta12–30Hz. No FFT, clinical interpretation or missing frequency extrapolation.

Description

An alpha-to-theta power ratio compares integrated power under explicit band definitions.

An alpha-to-theta power ratio compares integrated power under explicit band definitions.^[1]

This tool sums supplied uniform PSD bins in half-open 8–12 Hz and 4–8 Hz bands without running a Fourier transform.

When to use Alpha Theta Power Ratio Calculator

This tool sums supplied uniform PSD bins in half-open 8–12 Hz and 4–8 Hz bands without running a Fourier transform.

How to use Alpha Theta Power Ratio Calculator and how it works

Prepare uniform frequency centers hz, psd, bin width hz, using the input definitions and matching units below.
Enter the required fields and run Alpha Theta Power Ratio Calculator.
Read result.actualBandPowerRatio using the units, signs and ordering explained below.
Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.

Input field	Meaning	Value type	Requirement
actualUniformFrequencyCentersHz	Nonnegative strictly increasing PSD bin centers with adjacent spacing matching bin width.	array of number	Required; other constraints below
actualPsd	Nonnegative power spectral density samples aligned with frequency centers; units of power per Hz.	array of number	Required; other constraints below
actualBinWidthHz	Positive common bin width in Hz used to integrate the supplied PSD.	number	Required; finite; other constraints below

Require aligned nonempty frequency centers and PSD arrays with nonnegative entries and positive bin width in Hz. Centers must strictly increase and adjacent spacing must match width within 1e-9 times max(1,width). Sum PSD times width for centers in each half-open band, and divide numerator band power by a strictly positive denominator band power. Theta is 4<=f<8, alpha 8<=f<12 and beta 12<=f<30 Hz; this tool's title sets their quotient order. Missing centers are not extrapolated, complete band coverage is not required, and no FFT, windowing or PSD estimation occurs.

bandPower[a,b)=sum(PSD_i*width where a<=center_i<b); ratio=numeratorBandPower/denominatorBandPower

Apply the input ordering, units and branch conditions stated above.

Output field	Meaning	Value type
result	Object containing the calculated or selected fields below.	object
result.actualBandPowerRatio	Dimensionless numerator-to-denominator band-power quotient in the title-specific order.	number

json

{
  "input": {
    "actualUniformFrequencyCentersHz": [
      4,
      8,
      12
    ],
    "actualPsd": [
      1,
      2,
      4
    ],
    "actualBinWidthHz": 4
  },
  "output": {
    "result": {
      "actualBandPowerRatio": 2
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Theta Beta Ratio Calculator for a complementary operation: A theta-to-beta power ratio compares integrated power in defined frequency bands.

Use Beta Alpha Ratio Calculator for a complementary operation: A beta-to-alpha power ratio depends on explicit band boundaries and a supplied spectrum.

References

Alpha Theta Power Ratio Calculator — tool.io

Similar or alternative tools

Theta Beta Ratio Calculator
A theta-to-beta power ratio compares integrated power in defined frequency bands.
Beta Alpha Ratio Calculator
A beta-to-alpha power ratio depends on explicit band boundaries and a supplied spectrum.