Question

If a system is said to be invertible, then?

(a) One-to-one correspondence between its input and output signals

(b) One-to-many correspondence between its input and output signals

(c) Many-to-one correspondence between its input and output signals

(d) None of the mentioned

The question was posed to me in a national level competition.

My query is from Inverse Systems and Deconvolution topic in division Frequency Analysis of Signals and Systems of Digital Signal Processing

Answer 1

Right option is (a) One-to-one correspondence between its input and output signals

The best I can explain: If we know the output of a system y(n) of a system and if we can determine the input x(n) of the system uniquely, then the system is said to be invertible. That is there should be one-to-one correspondence between the input and output signals.