Math & Numbers
Z-Transform Calculator (Table Lookup)
Table lookup of the unilateral Z-transform for 11 standard pairs, with parameter substitution, region of convergence, derivation note, and optional numeric X(z₀) evaluation.
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Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/z-transform-calculator' \
-H 'Content-Type: application/json' \
-d '{"form":"exp","a":0.5,"w":0.5,"z0":2,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/z-transform-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| form | select | Yes | — |
| a | number | No | Geometric base in a^n forms (pole at z = a). |
| w | number | No | Angular frequency in sin/cos forms (must be nonzero). |
| z0 | number | No | Numeric evaluation point; must satisfy the region of convergence. |
| decimalPlaces | number | No | — |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-z-transform-calculator": {
"name": "z-transform-calculator",
"description": "Table lookup of the unilateral Z-transform for 11 standard pairs, with parameter substitution, region of convergence, derivation note, and optional numeric X(z₀) evaluation.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=z-transform-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "z-transform-calculator",
"arguments": {
"form": "exp",
"a": 0.5,
"w": 0.5,
"z0": 2,
"decimalPlaces": 4
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]