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Let h[n] be a length-7 discrete-time finite impulse response filter, given by h[0]=4, h[1]=3, h[2]=2, h[3]=1, h[-1]=-3, h[-2]=-2, h[-3]=-1, and h[n] is zero for |n|≥4. A length-3 finite impulse response approximation g[n] of h[n] has to be obtained such that E(h,g)=∫-ππ|H(ejω)-G(ejω)|2dω is minimized, where H(ejω) and G(ejω) are the discrete-time Fourier transforms of h[n] and g[n], respectively. For the filter that minimizes E(h,g), the value of 10g[-1]+g[1], rounded off to 2 decimal places, is
Correct : -27
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