response¶

response(dx, b, a=1, /, n=1000, simple=False)[source]¶

Calculate the response function given the a and b coefficients for some analog filter. For details, see Dennis Hartmann’s objective analysis course notes.

Parameters

dx (int or array-like) – The step size.
b (array-like) – The window b coefficients.
a (array-like) – The window a coefficients.

Notes

The response function formula can be depicted as follows:

             jw               -jw               -jmw
    jw   B(e)     b[0] + b[1]e    + .... + b[m]e
H(e)   = ------ = ----------------------------------
             jw               -jw               -jnw
         A(e)     a[0] + a[1]e    + .... + a[n]e