What property of Z-transform states that the transform of a sum of signals is equal to the sum of their transforms?

Linearity

Fill in the blank: The __________ property in Z-transform indicates how a shift in time affects the Z-domain representation.

Time Shifting

True or False: The Region of Convergence (ROC) for a right-sided signal is inside the unit circle in the Z-plane.

False. The ROC for a right-sided signal is outside the unit circle in the Z-plane.

Riddle: I transform signals in the discrete domain, showing how they behave with shifts and scalings. What am I?

Z-transform

What is the condition for the final value theorem to be applicable in the Z-transform?

All poles must be inside the unit circle in the Z-plane.

Fill in the blank: The __________ property in Z-transform indicates the effect of differentiating a signal in the Z-domain.

Differentiation in Frequency

Which of the following statements about the ROC is true? A) It includes poles B) It is outside the unit circle for left-sided signals C) It can be a ring for both-sided signals D) It is always entire Z-plane.

C) It can be a ring for both-sided signals

True or False: The initial value theorem applies to both causal and anti-causal sequences.

False. The initial value theorem applies only to causal sequences.

What method of inverse Z-transformation involves dividing the numerator by the denominator?

Long Division Method

Riddle: I'm a mathematical tool that helps find the behavior of signals at infinity, but only if the poles are well-behaved. What am I?

Final Value Theorem