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Table of Common Unilateral Z-Transforms

Module by: Melissa Selik, Richard Baraniuk. E-mail the authors

Summary: Lists several time-domain signals and z-transforms.

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Table 1
Time-Domain Signal Z-Transform
δkj δ k j zj z j
uk u k zz1 z z 1
kuk k u k zz12 z z 1 2
k2uk k 2 u k z(z+1)z13 z z 1 z 1 3
k3uk k 3 u k z(z2+4z+1)z14 z z 2 4 z 1 z 1 4
γk1uk1 γ k 1 u k 1 1zγ 1 z γ
γkuk γ k u k zzγ z z γ
kγkuk k γ k u k γzzγ2 γ z z γ 2
k2γkuk k 2 γ k u k γz(z+γ)zγ3 γ z z γ z γ 3
n =1mkn+1γmm!γkuk n 1 m k n 1 γ m m γ k u k zzγm+1 z z γ m 1
|γ|kcosβkuk γ k β k u k z(z|γ|cosβ)z2(2|γ|cosβ)z+|γ|2 z z γ β z 2 2 γ β z γ 2
|γ|ksinβkuk γ k β k u k z|γ|sinβz2(2|γ|cosβ)z+|γ|2 z γ β z 2 2 γ β z γ 2

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