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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) = ∫ | H(e jω) − G(e jω)| 2 dω π −π is minimized, where H(e jω) and G(e jω) 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 ________ .

Asked On2019-07-08 15:36:13 by:KAPILJHADE

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