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Signals and Systems by Smarajit Ghosh

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12.4 SPECIFICATIONS OF PHASE RESPONSE

We can write the frequency response of a filter in terms of real and imaginary part as

 

H(ω) = HR(ω) + jHI(ω)     (12.21)

 

where HR(ω) and HI (ω) are the real and imaginary part of H(ω).

We can also write H(ω) in terms of magnitude response |H(ω)| and phase response θ (ω) as

 

image

and     image

where H(ω) is a continuous function of ω. If the frequency response of a digital filter is expressed in the following continuous phase form

 

H(ω) = A(ω)ejωτp     (12.24)

 

we can say that it is in linear phase form τp

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