Z-transform

Is this a valid z-transform of $ \frac{1}{n^2}u[n] $?

Is this a valid z-transform of $ \frac{1}{n^2}u[n] $?
  1. What is the Z-transform of 1 z?
  2. What is the Z-transform of the 1 point signal x n an *?
  3. What is the Z-transform of N?
  4. What is the Z-transform of the signal x n )= 3 2 n )- 4 3 n u n?

What is the Z-transform of 1 z?

The Z-transform of a sequence an is defined as A(z)=∑∞n=−∞anz−n. In your case, A(z)=1/z=z−1, so this must mean an=0 for all n≠1, and a1=1. We don't need any fancy computations in this example, we just read off the one nonzero coefficient directly from A.

What is the Z-transform of the 1 point signal x n an *?

Explanation: The z-transform of a real discrete time sequence x(n) is defined as a power of 'z' which is equal to X(z)=\sum_n=-\infty^\infty x(n)z^-n, where 'z' is a complex variable. 2.

What is the Z-transform of N?

The z-transform of a sequence x[n] is. X(z) = ∞ ∑

What is the Z-transform of the signal x n )= 3 2 n )- 4 3 n u n?

What is the z-transform of the signal x(n)=[3(2n)-4(3n)]u(n)? => X(z)=\frac31-2z^-1-\frac41-3z^-1.

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