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HW 6 Questions - 6 = 0 A 7 = 0 A 8 = 0 A 9 = 0 A 10 = 0 A...

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ECE 408 HOMEWORK #6 (CH. 14) 1. Design a type 1 FIR filter with length 15 (N = 15) and A 0 = 0, A 1 = 1, A 2 = 2, A 3 = 5, A 4 = 3, A 5 = 7, A 6 = 0, A 7 = 0, A 8 = 0, A 9 = 0, A 10 = 7, A 11 = 3, A 12 = 5, A 13 = 2, A 14 = 1. (a) Find and plot the impulse response of the filter. (b) Plot the magnitude response |H( θ )| for −π θ π . (c) Plot the phase response H( θ ) for −π θ π . 2. Design a type 2 FIR filter with length 16 (N = 16) and A 0 =1, A 1 = 2, A 2 = 6, A 3 = 3, A 4 = 1, A 5 = 0, A 6 = 0, A 7 = 0, A 8 = 0, A 9 = 0, A 10 = 0, A 11 = 0, A 12 = 1, A 13 = 3, A 14 = 6, A 15 = 2. (a) Find and plot the impulse response of the filter. (b) Plot the magnitude response |H( θ )| for −π θ π . (c) Plot the phase response H( θ ) for −π θ π . 3. Design a type 3 FIR filter with length 17 (N = 17) and A 0 =0, A 1 = 1, A 2 = 3, A 3 = 8, A 4 = 2, A 5 = 0, A
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Unformatted text preview: 6 = 0, A 7 = 0, A 8 = 0, A 9 = 0, A 10 = 0, A 11 = 0, A 12 = 0, A 13 = − 2, A 14 = − 8, A 15 = − 3, A 16 = − 1. (a) Find and plot the impulse response of the filter. (b) Plot the magnitude response |H( θ )| for −π ≤ θ ≤ π . (c) Plot the phase response ∠ H( θ ) for −π ≤ θ ≤ π . 4. Design a type 4 FIR filter with length 16 (N = 16) and A =0, A 1 = 0, A 2 = 0, A 3 = 1, A 4 = 5, A 5 = 2, A 6 = 0, A 7 = 0, A 8 = 0, A 9 = 0, A 10 = 0, A 11 = 2, A 12 = 5, A 13 = 1, A 14 = 0, A 15 = 0. (a) Find and plot the impulse response of the filter. (b) Plot the magnitude response |H( θ )| for −π ≤ θ ≤ π . (c) Plot the phase response ∠ H( θ ) for −π ≤ θ ≤ π . 1...
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