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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 mentionedThe 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»

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.



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