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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 mentioned
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If a system is said to be invertible, then:a)One-to-one correspondence...
Explanation: 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.
Most Upvoted Answer
If a system is said to be invertible, then:a)One-to-one correspondence...
Explanation:
Invertible System:
An invertible system in signal processing is one where there is a one-to-one correspondence between its input and output signals. This means that each unique input signal results in a unique output signal.
One-to-One Correspondence:
In an invertible system, for every input signal, there is only one corresponding output signal. This ensures that the system can be reversed or inverted to retrieve the original input signal from the output signal.
Example:
For example, if a system takes an input signal x and produces an output signal y, the system is invertible if given y, we can uniquely determine x. This property is crucial in signal processing applications where the original signal needs to be accurately reconstructed.
Significance:
Invertibility is a desirable property in systems as it allows for information preservation and accurate reconstruction of signals. This property ensures that no information is lost during the processing of signals.
Conclusion:
In conclusion, an invertible system has a one-to-one correspondence between its input and output signals, allowing for accurate reconstruction of the original input signal from the output signal. This property is essential in various signal processing applications to maintain the integrity of the information being processed.
Invertible System:
An invertible system in signal processing is one where there is a one-to-one correspondence between its input and output signals. This means that each unique input signal results in a unique output signal.
One-to-One Correspondence:
In an invertible system, for every input signal, there is only one corresponding output signal. This ensures that the system can be reversed or inverted to retrieve the original input signal from the output signal.
Example:
For example, if a system takes an input signal x and produces an output signal y, the system is invertible if given y, we can uniquely determine x. This property is crucial in signal processing applications where the original signal needs to be accurately reconstructed.
Significance:
Invertibility is a desirable property in systems as it allows for information preservation and accurate reconstruction of signals. This property ensures that no information is lost during the processing of signals.
Conclusion:
In conclusion, an invertible system has a one-to-one correspondence between its input and output signals, allowing for accurate reconstruction of the original input signal from the output signal. This property is essential in various signal processing applications to maintain the integrity of the information being processed.
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If a system is said to be invertible, then:a)One-to-one correspondence between its input and output signalsb)One-to-many correspondence between its input and output signalsc)Many-to-one correspondence between its input and output signalsd)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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