Z Transform of a Signal

Front

What is the formula for the Z transform of a signal?

Back

X(z)=\sum_{n=-\infty}^{\infty}x[n]z^{-n}.

Front

What is the inverse Z transform?

Back

x[n]=\frac{1}{2\pi j}\int_{C}X(z)z^{n-1}dz.

Front

What is the region of convergence (ROC) in Z transform?

Back

The ROC is the range of values of z for which the Z transform converges.

Front

How does the Z transform relate to the Fourier transform?

Back

The Z transform is a generalization of the Fourier transform, evaluated on the unit circle in the complex plane.