Examples
Examples
Try the starting example
- Analog first-order cutoff frequency (Hz)
- 5
- Signal frequency (Hz)
- 2
- Sample rate (Hz)
- 100
- Analog amplitude retention
- 0.928477
- Analog phase lag (degrees)
- -21.801409
- Matched-pole digital amplitude retention
- 0.929085
- Matched-pole digital phase lag (degrees)
- -18.389645
Try another scenario
- Analog first-order cutoff frequency (Hz)
- 6
- Signal frequency (Hz)
- 2
- Sample rate (Hz)
- 100
- Analog amplitude retention
- 0.948683
- Analog phase lag (degrees)
- -18.434949
- Matched-pole digital amplitude retention
- 0.949303
- Matched-pole digital phase lag (degrees)
- -15.060668
Calculation method
Calculation method
Analog amplitude retention
Compare analog H=1/(1+j f/fc) with matched-pole sampled H(z)=(1−α)/(1−αz⁻¹), α=e^(−2πfc/fs); require both cutoff and signal below Nyquist.
Analog phase lag (degrees)
Compare analog H=1/(1+j f/fc) with matched-pole sampled H(z)=(1−α)/(1−αz⁻¹), α=e^(−2πfc/fs); require both cutoff and signal below Nyquist.
Matched-pole digital amplitude retention
Compare analog H=1/(1+j f/fc) with matched-pole sampled H(z)=(1−α)/(1−αz⁻¹), α=e^(−2πfc/fs); require both cutoff and signal below Nyquist.
Matched-pole digital phase lag (degrees)
Compare analog H=1/(1+j f/fc) with matched-pole sampled H(z)=(1−α)/(1−αz⁻¹), α=e^(−2πfc/fs); require both cutoff and signal below Nyquist.
Symbols and units
- a
- Analog first-order cutoff frequency (Hz)
- b
- Signal frequency (Hz)
- c
- Sample rate (Hz)
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
- User-supplied measurements and assumptions; Compare analog H=1/(1+j f/fc) with matched-pole sampled H(z)=(1−α)/(1−αz⁻¹), α=e^(−2πfc/fs); require both cutoff and signal below Nyquist. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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
Background reading; this does not imply endorsement or independent review of SumFizz.