Consider the statements given below regarding properties of impulse function:

1. \(\delta \left( {at} \right) = \frac{1}{{\left| a \right|}}\delta \left( t \right)\)

2. \(\mathop \smallint \limits_{ - \infty }^T x\left( t \right)\delta \left( {t - {t_o}} \right)dt = x\left( {{t_0}} \right)\), If T < t0

3. x(t) δ(t) = x(t)

4. x[n] δ[n – n0] = x[n0] δ[n – n0]

Which of the above statements are correct?

1
1, 2 and 3 only
2
1, 3 and 4 only
3
1 and 4 only
4
1 and 2 only

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