Numerator

Why are numerator coefficients named $b$ and denominator coefficients named $a$?

Why are numerator coefficients named $b$ and denominator coefficients named $a$?
  1. Is the numerator the coefficient?
  2. How to get numerator and denominator of transfer function in matlab?

Is the numerator the coefficient?

Solution. Notice that while the numerator contains the numerator coefficients of the transfer function (and can be a matrix), the denominator can only be a vector collecting the coefficients of the denominator polynomial.

How to get numerator and denominator of transfer function in matlab?

[ num , den ] = tfdata( sys ) returns the numerator and denominator coefficients of the transfer function for the tf (Control System Toolbox), ss (Control System Toolbox) and zpk (Control System Toolbox) model objects or the array of model objects represented by sys .

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