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Explain the concept of linear phase in FIR filter. prove the following statement 'a filter is said to have linear phase response if its phase response is $\theta(w)=-\alpha w$
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Linear phase in FIR filter
The filters which have constant (independent of frequency) Phase delay and / or Group delay are called as Linear Phase Filters. In Linear Phase Filters the phase response is a linear (straight-line) function of frequency.
By Definition, Phase Delay $\tau_{p}=\frac{-\theta(\omega)}{\omega}$ and Group Delay $\tau_{g}=\frac{-d}{d \omega} …