{
  "__type": "IngestedDoc",
  "__tag": 4010,
  "_content": {
    "Notes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Changing the value of properties that are not part of the "
            },
            {
              "__type": "CrossRef",
              "__tag": 4002,
              "value": "ZerosPolesGain",
              "reference": {
                "__type": "LocalRef",
                "__tag": 4022,
                "kind": "module",
                "path": "scipy.signal._ltisys:ZerosPolesGain"
              },
              "kind": "module"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " system representation (such as the "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "A",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "B",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "C",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "D",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " state-space matrices) is very inefficient and may lead to numerical inaccuracies.  It is better to convert to the specific system representation first. For example, call "
            },
            {
              "__type": "InlineCode",
              "__tag": 4051,
              "value": "sys = sys.to_ss()"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " before accessing/changing the A, B, C, D system matrices."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Warns": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Raises": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Yields": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Methods": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Returns": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Continuous-time Linear Time Invariant system in zeros, poles, gain form."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Receives": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Warnings": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Attributes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Parameters",
          "__tag": 4026,
          "children": [
            {
              "__type": "DocParam",
              "__tag": 4016,
              "name": "*system",
              "annotation": "arguments",
              "desc": [
                {
                  "__type": "Paragraph",
                  "__tag": 4045,
                  "children": [
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": "The "
                    },
                    {
                      "__type": "CrossRef",
                      "__tag": 4002,
                      "value": "ZerosPolesGain",
                      "reference": {
                        "__type": "LocalRef",
                        "__tag": 4022,
                        "kind": "module",
                        "path": "scipy.signal._ltisys:ZerosPolesGain"
                      },
                      "kind": "module"
                    },
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": " class can be instantiated with 1 or 3 arguments. The following gives the number of input arguments and their interpretation:"
                    }
                  ]
                },
                {
                  "__type": "Blockquote",
                  "__tag": 4059,
                  "children": [
                    {
                      "__type": "BulletList",
                      "__tag": 4053,
                      "ordered": false,
                      "start": 1,
                      "children": [
                        {
                          "__type": "ListItem",
                          "__tag": 4054,
                          "children": [
                            {
                              "__type": "Paragraph",
                              "__tag": 4045,
                              "children": [
                                {
                                  "__type": "Text",
                                  "__tag": 4046,
                                  "value": "1: "
                                },
                                {
                                  "__type": "CrossRef",
                                  "__tag": 4002,
                                  "value": "lti",
                                  "reference": {
                                    "__type": "LocalRef",
                                    "__tag": 4022,
                                    "kind": "module",
                                    "path": "scipy.signal._ltisys:lti"
                                  },
                                  "kind": "module"
                                },
                                {
                                  "__type": "Text",
                                  "__tag": 4046,
                                  "value": " system: ("
                                },
                                {
                                  "__type": "CrossRef",
                                  "__tag": 4002,
                                  "value": "StateSpace",
                                  "reference": {
                                    "__type": "LocalRef",
                                    "__tag": 4022,
                                    "kind": "module",
                                    "path": "scipy.signal._ltisys:StateSpace"
                                  },
                                  "kind": "module"
                                },
                                {
                                  "__type": "Text",
                                  "__tag": 4046,
                                  "value": ", "
                                },
                                {
                                  "__type": "CrossRef",
                                  "__tag": 4002,
                                  "value": "TransferFunction",
                                  "reference": {
                                    "__type": "LocalRef",
                                    "__tag": 4022,
                                    "kind": "module",
                                    "path": "scipy.signal._ltisys:TransferFunction"
                                  },
                                  "kind": "module"
                                },
                                {
                                  "__type": "Text",
                                  "__tag": 4046,
                                  "value": " or       "
                                },
                                {
                                  "__type": "CrossRef",
                                  "__tag": 4002,
                                  "value": "ZerosPolesGain",
                                  "reference": {
                                    "__type": "LocalRef",
                                    "__tag": 4022,
                                    "kind": "module",
                                    "path": "scipy.signal._ltisys:ZerosPolesGain"
                                  },
                                  "kind": "module"
                                },
                                {
                                  "__type": "Text",
                                  "__tag": 4046,
                                  "value": ")"
                                }
                              ]
                            }
                          ]
                        },
                        {
                          "__type": "ListItem",
                          "__tag": 4054,
                          "children": [
                            {
                              "__type": "Paragraph",
                              "__tag": 4045,
                              "children": [
                                {
                                  "__type": "Text",
                                  "__tag": 4046,
                                  "value": "3: array_like: (zeros, poles, gain)"
                                }
                              ]
                            }
                          ]
                        }
                      ]
                    }
                  ]
                }
              ]
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Extended Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Represents the system as the continuous time transfer function "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "H(s)=k \\prod_i (s - z[i]) / \\prod_j (s - p[j])"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", where "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "k"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " is the "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "gain",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ", "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "z"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " are the "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "zeros",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " and "
            },
            {
              "__type": "InlineMath",
              "__tag": 4057,
              "value": "p"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " are the "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "poles",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ". Continuous-time "
            },
            {
              "__type": "CrossRef",
              "__tag": 4002,
              "value": "ZerosPolesGain",
              "reference": {
                "__type": "LocalRef",
                "__tag": 4022,
                "kind": "module",
                "path": "scipy.signal._ltisys:ZerosPolesGain"
              },
              "kind": "module"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " systems inherit additional functionality from the "
            },
            {
              "__type": "CrossRef",
              "__tag": 4002,
              "value": "lti",
              "reference": {
                "__type": "LocalRef",
                "__tag": 4022,
                "kind": "module",
                "path": "scipy.signal._ltisys:lti"
              },
              "kind": "module"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " class."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Other Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    }
  },
  "_ordered_sections": [
    "Summary",
    "Extended Summary",
    "Parameters",
    "Attributes",
    "Methods",
    "Returns",
    "Yields",
    "Receives",
    "Other Parameters",
    "Raises",
    "Warns",
    "Warnings",
    "Notes"
  ],
  "item_file": "/scipy/signal/_ltisys.py",
  "item_line": 1085,
  "item_type": "class",
  "aliases": [
    "scipy.signal._ltisys.ZerosPolesGainContinuous"
  ],
  "example_section_data": {
    "__type": "Section",
    "__tag": 4015,
    "children": [
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "Construct the transfer function\n:math:`H(s)=\\frac{5(s - 1)(s - 2)}{(s - 3)(s - 4)}`:\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "from scipy import signal\n",
        "execution_status": "success"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "signal.ZerosPolesGain([1, 2], [3, 4], 5)\n",
        "execution_status": "success"
      }
    ],
    "title": [],
    "level": 0,
    "target": null
  },
  "see_also": [
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "StateSpace",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.signal._ltisys:StateSpace"
        },
        "kind": "module"
      },
      "descriptions": [],
      "type": null
    },
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "TransferFunction",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.signal._ltisys:TransferFunction"
        },
        "kind": "module"
      },
      "descriptions": [],
      "type": null
    },
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "lti",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.signal._ltisys:lti"
        },
        "kind": "module"
      },
      "descriptions": [],
      "type": null
    },
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "zpk2sos",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.signal._filter_design:zpk2sos"
        },
        "kind": "module"
      },
      "descriptions": [],
      "type": null
    },
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "zpk2ss",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.signal._lti_conversion:zpk2ss"
        },
        "kind": "module"
      },
      "descriptions": [],
      "type": null
    },
    {
      "__type": "SeeAlsoItem",
      "__tag": 4028,
      "name": {
        "__type": "CrossRef",
        "__tag": 4002,
        "value": "zpk2tf",
        "reference": {
          "__type": "LocalRef",
          "__tag": 4022,
          "kind": "module",
          "path": "scipy.signal._filter_design:zpk2tf"
        },
        "kind": "module"
      },
      "descriptions": [],
      "type": null
    }
  ],
  "signature": {
    "__type": "SignatureNode",
    "__tag": 4029,
    "kind": "function",
    "parameters": [
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "system",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "VAR_POSITIONAL",
        "default": {
          "__type": "Empty",
          "__tag": 4031
        }
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "kwargs",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "VAR_KEYWORD",
        "default": {
          "__type": "Empty",
          "__tag": 4031
        }
      }
    ],
    "return_annotation": {
      "__type": "Empty",
      "__tag": 4031
    },
    "target_name": "ZerosPolesGainContinuous"
  },
  "references": null,
  "qa": "scipy.signal._ltisys:ZerosPolesGainContinuous",
  "arbitrary": [],
  "local_refs": [
    "*system"
  ]
}