Sandi2000
Junior Member level 2
The first formula :
A causal first-order IIR filter is characterized by the following difference equation
The impulse response of that system can be computed via the Z-transform or otherwise, and it turns out to be
The second formula :
the general causal IIR filter is
has transfer function
one step of long division yields
The question is :
The common thing between the first and second formula is (b1−b0*a1) ,i want to understand more why using (b1−b0*a1) in first and second formula? what is the difference ?
Thank you in advance.
A causal first-order IIR filter is characterized by the following difference equation
The impulse response of that system can be computed via the Z-transform or otherwise, and it turns out to be
The second formula :
the general causal IIR filter is
has transfer function
one step of long division yields
The question is :
The common thing between the first and second formula is (b1−b0*a1) ,i want to understand more why using (b1−b0*a1) in first and second formula? what is the difference ?
Thank you in advance.