Control model frequency response
Complete SISO continuous-model response with certified roots and explicit phase branches.
- 1Add input
- 2Adjust settings
- 3Get your result
Tool input and files are processed in this browser without being uploaded.
Before you start
Declare a complete transfer model and frequency grid, then inspect every complex response and the selected phase branch.
How to use this tool
- Choose either numerator/denominator or all zeros/poles/gain.
- Provide all positive omega values or logRange start/end/count.
- Select a phase policy and inspect singular statuses.
- Download five complete files; copying retains the complete response CSV.
Supported inputs and limits
One strict UTF-8 JSON source: paste or native File, 4 MiB and 512 UTF-8 filename bytes. Clear pasted text before selecting a File; mixed sources, duplicate JSON keys, prototype keys and accessor inputs are rejected.
Use complete real descending numerator/denominator coefficients (256 each) or conjugate-symmetric zeros/poles/gain, mutually exclusive. All 510 root occurrences are retained; uncertain multiplicity refuses the whole model.
Positive strictly increasing omega in rad/s, at most 200,000 frequencies, or explicit logRange start/end/count. Every frequency is delivered; principal, structural and reference are options of this task.
All joint budgets apply: 50 million charged work units, files+full text+preview 64 MiB, full typed JSON 8 MiB, aggregate 72 MiB, binary+full metadata 96 MiB, conservative owned peak 1024 MiB and one absolute 120 seconds. Output and work intersections may refuse an individually valid axis.
Actual EVD loop bodies and QR increments are charged before original operations. Fixed matrix overhead and encoding/verification reservations are conservative units; degree-cubed is never reported as actual iteration work. Maximum joint capacity, maximum heap and browser performance remain unmeasured.
Worked example
Example input
{
"zeros": [
[
0,
0
],
[
-2,
0
],
[
1,
2
],
[
1,
-2
]
],
"poles": [
[
0,
0
],
[
0,
1
],
[
0,
-1
],
[
-3,
0
]
],
"gain": -2,
"omega": [
0.1,
0.5,
1,
1.5,
2,
5,
10
]
}Example options
{"phaseMode":"structural","initialPhaseDegrees":0,"locale":"en"}Example output
7 complete frequency rows; omega=1 is a pole gap; 5 complete files
When something does not work
Correct the whole model or grid and rerun with the same original File; cancellation never publishes a late result.
Frequently asked questions
Is structural phase a unique absolute phase?
No. Angles differing by full turns represent the same complex response. The export states exactly which factor rule or initial reference was used.
What happens at a pole, zero or cancelled factor?
The complete row records null for undefined quantities and an explicit status; each affected plot trace has a real gap.