Group delay and number of zeros for a symmetric FIR system

1. What is group delay in FIR filter?
2. What is the condition for symmetric in FIR filter with constant phase and group delays?
3. Do FIR filters have zeros?
4. How do you calculate group delay of a filter?

What is group delay in FIR filter?

The group delay of a filter is a measure of the average time delay of the filter as a function of frequency. The group delay is defined as the negative first derivative of the filter's phase response. If the complex frequency response of a filter is H ( e j ω ) , then the group delay is.

What is the condition for symmetric in FIR filter with constant phase and group delays?

For a FIR system to have a linear phase the condition for impulse response is h(n)=±h(M−1−n)⋅ If h(n)=h(M−1−n) then the FIR is symmetrical around and if h(n)=−h(M−1−n) then the FIR is anti symmetrical around the centre coefficient.

Do FIR filters have zeros?

IIR filters have poles and zeroes, and FIR filters have only zeroes.

How do you calculate group delay of a filter?

M(ω)•e^jΦ(ω) = H(ω) = the DTFT of h(n) –d[Φ(ω)]/dω = group delay of the filter.