following is correct?" class="read-more button" href="https://exam.pscnotes.com/mcq/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex/#more-54876">Detailed
SolutionConsider the following statements for continuous-time linear time invariant (LTI) systems. 1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. 2. There is no causal and BIBO stable system with a pole in the right half of the complex plane. Which one among the following is correct?
{\begin{array}{*{20}{c}} 1&0&0 \\ 0&{W_3^2}&0 \\ 0&0&{W_3^4} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {A/3} \\ {B/3} \\ {C/3} \end{array}} \right]\] then the relationship between the sequences [p, q, r] and [a, b, c] is" class="read-more button" href="https://exam.pscnotes.com/mcq/two-sequences-a-b-c-and-a-b-c-are-related-as-left-beginarray20c-a-b-c-endarray-right-left-beginarray20c-111-1w_3-1w_3/#more-54045">Detailed SolutionTwo sequences [a, b, c] and [A, B, C] are related as, \[\left[ {\begin{array}{*{20}{c}} A \\ B \\ C \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 1&1&1 \\ 1&{W_3^{ – 1}}&{W_3^{ – 2}} \\ 1&{W_3^{ – 2}}&{W_3^{ – 4}} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} a \\ b \\ c \end{array}} \right]\] where, $${W_3} = {e^{i\frac{{2\pi }}{3}}}.$$ If another sequence [p, q, r] is derived as, \[\left[ {\begin{array}{*{20}{c}} a \\ b \\ c \end{array}} \right] = \] \[\left[ {\begin{array}{*{20}{c}} 1&1&1 \\ 1&{W_3^1}&{W_3^2} \\ 1&{W_3^2}&{W_3^4} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1&0&0 \\ 0&{W_3^2}&0 \\ 0&0&{W_3^4} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {A/3} \\ {B/3} \\ {C/3} \end{array}} \right]\] then the relationship between the sequences [p, q, r] and [a, b, c] is
button" href="https://exam.pscnotes.com/mcq/the-pole-zero-pattern-of-a-certain-filter-is-shown-in-figure-the-filter-must-be-of-the-following-type/#more-53149">Detailed SolutionThe pole-zero pattern of a certain filter is shown in figure. The filter must be of the following type
is given by $$H\left( s \right) = {{K\left( {{s^2} + 1\omega _0^2} \right)} \over {{s^2} + \left( {{{{\omega _0}} \over Q}} \right)s + \omega _0^2}}$$" class="read-more button" href="https://exam.pscnotes.com/mcq/specify-the-filter-type-if-its-voltage-transfer-function-hs-is-given-by-hleft-s-right-kleft-s2-1omega-_02-right-over-s2-left-omega-_0-over-q-rig/#more-53148">Detailed SolutionSpecify the filter type if its voltage transfer function H(s) is given by $$H\left( s \right) = {{K\left( {{s^2} + 1\omega _0^2} \right)} \over {{s^2} + \left( {{{{\omega _0}} \over Q}} \right)s + \omega _0^2}}$$
transfer function $$\frac{{Y\left( z \right)}}{{X\left( z \right)}}$$ of the system is" class="read-more button" href="https://exam.pscnotes.com/mcq/consider-the-system-shown-in-the-figure-below-the-transfer-function-fracyleft-z-rightxleft-z-right-of-the-system-is/#more-52902">Detailed SolutionConsider the system shown in the figure below. The transfer function $$\frac{{Y\left( z \right)}}{{X\left( z \right)}}$$ of the system is