EC > GATE 2017 SET-1 > Discrete Fourier Transform
Let h[n] be the impulse response of a discrete-time linear time invariant (LTI) filter. The impulse response is given by h[0]=1/3, h[1]=1/3, h[2]=1/3; and h[n]=0 for n<0 and n>2. Let H(ω) be the discrete-time Fourier transform (DTFT) of h[n], where ω is the normalized angular frequency in radians. Given that H(ω0)=0 and 0<ω0<π. the value of ω0 (in radians) is equal to

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