Examveda

A linear system has the transfer function $$H\left( {j\omega } \right) = \frac{1}{{\left( {j\omega + 1} \right)}}$$
When it is subjected to an input white noise process with a constant spectral density 'A', the spectral density of the output

A. $$\frac{A}{{\left( {j\omega + 1} \right)}}$$

B. $$\frac{A}{{{{\left( {j\omega + 1} \right)}^2}}}$$

C. $$\frac{A}{{\left( {{\omega ^2} + 1} \right)}}$$

D. $$\frac{A}{{\sqrt {\left( {j\omega + 1} \right)} }}$$

Answer: Option C


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