Z-transform in dsp

1. What is Z-transform in DSP?
2. What is the difference of Z-transform into Fourier transform in DSP?
3. What is Z-transform and why we use it?

What is Z-transform in DSP?

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

What is the difference of Z-transform into Fourier transform in DSP?

Fourier transforms are for converting/representing a time-varying function in the frequency domain. Z-transforms are very similar to laplace but are discrete time-interval conversions, closer for digital implementations. They all appear the same because the methods used to convert are very similar. Save this answer.

What is Z-transform and why we use it?

The Z-transform (ZT) is a mathematical tool which is used to convert the difference equations in time domain into the algebraic equations in z-domain. The Z-transform is a very useful tool in the analysis of a linear shift invariant (LSI) system. An LSI discrete time system is represented by difference equations.