Transform linear-phase FIR to minimum-phase FIR

1. How do we convert a linear phase FIR filter to a minimum phase?
2. How do you make a filter minimum phase?
3. What are the conditions to be satisfied to achieve the linear phase in FIR?
4. What is the equivalent of linear phase shift?

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).

How do you make a filter minimum phase?

You can create a minimum phase filter by designing a linear phase filter and converting it to a minimum phase filter by flipping the zeroes that are outside the unit circle to their conjugate reciprocal position inside the unit circle.

What are the conditions to be satisfied to achieve the linear phase in FIR?

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.

What is the equivalent of linear phase shift?

Since the shift in the impulse response does nothing but produce an identical shift in the output signal, the linear phase filter is equivalent to the zero phase filter for most purposes.