Transform minimum phase FIR into linear phase FIR

1. How do we convert a linear phase FIR filter to a minimum phase?
2. What are the conditions for a FIR filter to have a linear phase?
3. How do you calculate linear phase?
4. Are FIR filters always linear?

How do we convert a linear phase FIR filter to a minimum phase?

If you want to transform a symetric (linear phase) FIR into a minimum-phase FIR of the same length, you can simply determine the zeros of h(n), and then invert zeros which are outside the unit-circle (i.e., compute the reciprical).

What are the conditions for a FIR filter to have a linear phase?

A FIR filter is linear-phase if (and only if) its coefficients are symmetrical around the center coefficient, that is, the first coefficient is the same as the last; the second is the same as the next-to-last, etc.

How do you calculate linear phase?

A linear-phase phase filter is one for which the continuous phase θ(ω) is linear. with θ(ω) = −M · ω + B.

Are FIR filters always linear?

No! FIR filters are NOT always linear phase. The acronym 'FIR" only tells you that the impulse response is finite in duration, nothing more and nothing less. So called "minimum phase" FIR filters are not linear phase.