Exact relationship
Bode magnitude and phase explorer
Evaluate a first-order pole and optional zero at a selected frequency with exact magnitude and phase.
Engine category
Filters and Signals
Published tools in this category solve distinct design decisions. Each keeps its assumptions, limits, and next decision visible.
Exact ideal relationship
RC low-pass and high-pass filter
Calculate ideal first-order RC filter cutoff frequency and magnitude response at a stated frequency.
Exact ideal relationship
RL low-pass and high-pass filter
Calculate ideal first-order RL filter cutoff frequency and magnitude response from total series resistance and inductance.
Exact lumped-element relationship
Passive RLC filter designer
Calculate ideal series-RLC resonant frequency, Q, and bandwidth for a passive filter stage.
Exact ideal relationship
Sallen-Key low-pass designer
Calculate ideal equal-component Sallen-Key low-pass natural frequency and the Q set by the non-inverting gain.
Exact ideal relationship
Multiple-feedback filter designer
Check the ideal normalized second-order low-pass magnitude and phase checkpoint at the natural frequency for a target Q.
Exact ideal relationship
State-variable filter designer
Check the ideal unity-normalized low-pass, high-pass, and band-pass magnitude checkpoint at the natural frequency.
Exact ideal relationship
Butterworth filter order estimator
Calculate the minimum Butterworth filter order from passband and stopband frequency and attenuation requirements.
Exact ideal relationship
Twin-T notch filter designer
Calculate the ideal balanced twin-T notch frequency from resistance and capacitance.
Exact ideal relationship
Decibel and ratio converter
Convert a linear amplitude or power ratio to decibels using the correct 20 log10 or 10 log10 relationship.
Standard approximation
Rise-time and bandwidth relation
Estimate signal rise time from bandwidth and combine two cascaded rise times by root-sum-square.
Exact ideal relationship
FFT bin and record-length planner
Calculate FFT bin spacing, record duration, and Nyquist frequency from sample rate and record length.
Exact ideal relationship
Sampling and aliasing explorer
Find the apparent aliased frequency of a tone sampled below the Nyquist criterion.
Exact ideal relationship
Coherent sampling planner
Find the coherent test-tone frequency for a chosen FFT bin, sample rate, and record length, and check the coprime condition.
Exact ideal relationship
Converter dynamic-metrics converter
Convert an ideal full-scale sine-wave SINAD measurement to effective number of bits.
Exact ideal relationship
ADC quantization-noise estimator
Calculate ideal LSB size, quantization noise RMS, and full-scale sine SNR for a given ADC resolution and span.
Exact ideal relationship
Clock-jitter SNR limit
Estimate the ideal sine-wave SNR ceiling set by total RMS aperture jitter at a stated input frequency.
Exact ideal relationship
DAC settling and update-rate planner
Calculate required first-order settling time constants and compare estimated settle time with the update period.
Standard approximation
PWM reconstruction filter planner
Estimate first-order low-pass carrier attenuation for a PWM reconstruction filter at the switching frequency.
Exact ideal relationship
Mechanical switch debounce timing
Calculate ideal RC debounce time constant and the fraction of final value reached at a stated elapsed time.