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Everything about Transfer function matrix

Matrix relating system inputs and outputs

In control system theory, and various branches of engineering, a transfer function matrix, or just transfer matrix is a generalisation of the transfer functions of single-input single-output (SISO) systems to multiple-input and multiple-output (MIMO) systems. The matrix relates the outputs of the system to its inputs. It is a particularly useful construction for linear time-invariant (LTI) systems because it can be expressed in terms of the s-plane. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Transfer function matrixA 5-minute orientation
  2. Skim a recent paper: Convolutive Transfer Function-Based Multichannel Nonnegative Matrix Factorization for Overdetermined Blind Source SeparationInfluential work since 2022
  3. Pick up a classic book: The ADI Model ProblemThe most-reprinted book on the subject
  4. Read the landmark paper: Numerical computation of a coprime factorization of a transfer function matrixCited 57 times
  5. Go sideways: Mechanical–electrical analogiesA closely related topic
  6. Go sideways: Impedance analogyA closely related topic

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