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Which of the following is true about the bounded signal?

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in Signals and Systems by (1.2m points)
Which of the following is true about the bounded signal?

(a) A finite signal is always bounded

(b) A bounded signal always possess finite energy

(c) A bounded signal is always zero outside a given interval

(d) A bounded signal is always finite

The question was asked during an interview.

This is a very interesting question from Fourier Series and LTI Systems in section Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
Right option is (b) A bounded signal always possess finite energy

Explanation: A bounded signal always possesses finite energy as a matter of fact. Mathematically on integrating it can be also shown that the energy of the bounded signal is finite while power is zero.

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