What is inverse z-transform in dsp

The inverse Z-transform is defined as the process of finding the time domain signal x(n) from its Z-transform X(z). The inverse Z-transform is denoted as − x(n)=Z−1[X(z)]

1. What is Z-transform in DSP?
2. What are the methods of finding inverse Z-transform?
3. What is the inverse Z-transform of 1?

What is Z-transform in DSP?

Z-transform converts the discrete spatial domain signal into complex frequency domain representation.

What are the methods of finding inverse Z-transform?

There are at least 4 different methods to do this: Inspection. Partial-Fraction Expansion. Power Series Expansion.

What is the inverse Z-transform of 1?

Z transform has summation limits from -infinity to + infinity. x[n] =1 is not absolutely summable. Hence Z transform doesnt exist.