Question i (Concepts [3 makrs] State whether the following statements are True (

Question

Question i (Concepts [3 makrs] State whether the following statements are True (T) or False (F) (A wrong answer will count as -1/2, so do not guess ifyou don t know the answer) 1. Any linear system is completely defined by its impulse response 2. A system is stable if and only if it produces bounded output for any input () 3. A signal periodic in time-domain is discrete in frequency domain 4. The total energy in the Fourier transform of a signal is different from the total energy contained in the time domain representation of the same signal 5. If a signal has a Laplace transform then surely it has a Fourier transform () 6. A continuous-time signal can be uniquely reconstructed from its sampled version without any conditions on the used sampling rate

Explanation / Answer

1.No only linear time invarient system can be completely described by its impulse response.

2. A system is stable if it produces bounded output for bounded inputs output can be unbounded for unbounded input. Therefore false

3. The fourier transform of a periodic signal only has energy at base frequency and harmonics therefore its represented as a discrete signal in frequency domain. True

4. The total energy of the system is same for both frequency and time domain therefore false.

5.yes if a signal has laplace transform then it surely has fourier transform but vice versa is not true.

6. False for complete reconstruction the sampling rate should follow nyquist theorem

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