Comb filter notch frequencies calculator

Calculate cancellation frequencies and reinforcement frequencies with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use cancellation frequencies and reinforcement frequencies to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Direct-to-delayed path difference (ms)
5
Positive-frequency orders to show
3
Delayed signal polarity: same or inverted
same
Cancellation frequencies (Hz)
100, 300, 500
Reinforcement frequencies (Hz)
200, 400, 600
Comb tooth spacing (Hz)
200
DC response
Reinforced (amplitude ×2)

Try another scenario

Direct-to-delayed path difference (ms)
10
Positive-frequency orders to show
2
Delayed signal polarity: same or inverted
inverted
Cancellation frequencies (Hz)
100, 200
Reinforcement frequencies (Hz)
50, 150
Comb tooth spacing (Hz)
100
DC response
Cancelled
Calculation method

Calculation method

Cancellation frequencies (Hz)

Equal same-polarity paths cancel at (j+1/2)/delay; inverted paths cancel at (j+1)/delay for j starting at zero.

Reinforcement frequencies (Hz)

Same polarity reinforces at (j+1)/delay; inverted polarity reinforces at (j+1/2)/delay. DC is reported separately.

Comb tooth spacing (Hz)

1 / delay in seconds.

DC response

Same polarity doubles DC amplitude; inverted polarity cancels DC.

Symbols and units
a
Direct-to-delayed path difference (ms)
b
Positive-frequency orders to show
c
Delayed signal polarity: same or inverted

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Ideal sum of two equal-amplitude paths with pure delay. Inverted-polarity DC cancellation is excluded from the positive-frequency list. Unequal levels produce dips rather than complete nulls.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Julius O. Smith: comb filters ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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