Given mathop ylimits^.. ( t ) + 3mathop ylimits^. ( t ) + 4y( t ) = 2mathop xlimits^.. ( t ) + 7mathop xlimits^. ( t ) + 8x( t ) Then H(s) is given by

H( s ) = 2s^2 + 7s + 8s^2 + 3s + 4

This question belongs to Electronics And Communications Engineering Signal Processing

Signal Processing

Given $$\mathop y\limits^{..} \left( t \right) + 3\mathop y\limits^. \left( t \right) + 4y\left( t \right) = 2\mathop x\limits^{..} \left( t \right) + 7\mathop x\limits^. \left( t \right) + 8x\left( t \right)$$
Then H(s) is given by

A) $$H\left( s \right) = \frac{{{s^2} + 3s + 4}}{{2{s^2} + 7s + 8}}$$ B) $$H\left( s \right) = \frac{{2{s^2} + 7s + 8}}{{{s^2} + 3s + 4}}$$ C) $$H\left( s \right) = \frac{{{s^2} + 7s + 8}}{{2{s^2} + 3s + 4}}$$ D) $$H\left( s \right) = \frac{{{s^2} + 8s + 7}}{{2{s^2} + 3s + 4}}$$

Answer & Solution

Correct Answer: Option B

Let's discuss the solution. Join the discussion

Question posted by Examveda

Community

Join the Discussion

Join the discussion

No comments yet Be the first to discuss this question.

Keep Learning

Given mathop y limits^ left( t right) + 3 mathop y...

Given $$\mathop y\limits^{..} \left( t \right) + 3\mathop y\limits^. \left( t \right) + 4y\left( t \right) = 2\mathop x\limits^{..} \left( t \right) + 7\mathop x\limits^. \left( t \right) + 8x\left( t \right)$$ Then H(s) is given by

Join the Discussion

Related Questions on Signal Processing

Given $$\mathop y\limits^{..} \left( t \right) + 3\mathop y\limits^. \left( t \right) + 4y\left( t \right) = 2\mathop x\limits^{..} \left( t \right) + 7\mathop x\limits^. \left( t \right) + 8x\left( t \right)$$
Then H(s) is given by