Filtering > AR2 inverse filter

The chosen second order autoregressive filter has a reduced frequency of 0.1 and an over-tension of 8.

The inverse of the second order AR filter (with coefficients a1 and a2) is a second order MA filter of the same coefficients (b1=a1 and b2=a2).

We propose to study the sensitivity of deconvolution to errors in the coefficients of the second order MA filter by playing with the modulus and the phase of the filter.

The quality of the deconvolution is shown in time and frequency (modulus and phase). A good deconvolution of the impulse response of the second order AR will give a Dirac in time, with a null phase and a constant module in the frequency domain. It requires a very high degree of precision for the modulus (within 0.5%) and for the phase (within 0.5%).