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Digital Filter Design By: Douglas L. Jones Online: C O N N E X I O N S Rice University, Houston, Texas
Page 1: Digital Filter Design By: Douglas L
Page 5: Digital Filter Design By: Douglas L
Page 9 and 10: −π ≤ ω ≤ π H (ω)
Page 11 and 12: h (k) = h ∗ (M − 1 − k)
Page 13 and 14: A (ω) ω ∠ω 2π π
Page 15 and 16: ωk ∀k, k = [o, 1, . . . , N
Page 17 and 18: H (ωk) 0 ≤ k ≤ M − 1 N > M
Page 19 and 20: ∞ L
Page 21 and 22: ∞ L + 3
Page 23 and 24: δ O ` L 2´ O (16LL) ≈ O `
Page 25 and 26: A (ω) A (ω) ⎧ ⎨
Page 27 and 28: y (n) = − M−1 k=1 (aky (
Page 29 and 30: s = iλ B λ2 = B − s2 = H (s)
Page 31 and 32: B λ 2 1 = 1 + ɛ2CM 2 (λ) CM 2
Page 33 and 34: B λ 2 1 = 1 + ɛ2JM 2 (λ) JM
Page 35 and 36: λ ω ω H (ω) = Ha αtan
Page 37 and 38: ω0 λ0 = αtan α = λ0 tan ω0
Page 39 and 40: |αK| < 1 z1 −1 =
Page 41 and 42: a bn bn = M (akhd (n − k
Page 43 and 44: ij ≈ r (i − j) = r (j − i)
Page 45 and 46: ∂ 2 ɛ ∂a = 2r + 2Ra R
Page 47 and 48: ∂ 2 ɛ ∂a = 2r + 2Ra R
Page 49: ∂ 2 ɛ ∂a = 2r + 2Ra R

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