href="https://exam.pscnotes.com/mcq/a-system-is-defined-by-its-impulse-response-hn-2n-un-2-the-system-is/#more-56532">Detailed SolutionA system is defined by its impulse response h(n) = 2n u(n – 2). The system is
t \right)} \over {\pi t}}$$ with $$ * $$ denoting the convolution operation, then x(t) is equal to" class="read-more button" href="https://exam.pscnotes.com/mcq/if-the-signal-xleft-t-right-sin-left-t-right-over-pi-t-sin-left-t-right-over-pi-t-with-denoting-the-convolution-operation-then-xt-is-equal/#more-56209">Detailed SolutionIf the signal $$x\left( t \right) = {{\sin \left( t \right)} \over {\pi t}} * {{\sin \left( t \right)} \over {\pi t}}$$ with $$ * $$ denoting the convolution operation, then x(t) is equal to
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class="screen-reader-text">The z-transform of the time function $$\sum\limits_{k = 0}^\infty {\delta \left( {n – K} \right)} $$ is
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a causal system with transfer function $${1 \over {s + 1}}.$$ Consider the following three statements: S1 : The system is stable. S2 : $${{h\left( {t + 1} \right)} \over {h\left( t \right)}}$$ independent of t for t > 0. S3 : A non-causal system with the same transfer function is stable. For the above system," class="read-more button" href="https://exam.pscnotes.com/mcq/let-ht-denote-the-impulse-response-of-a-causal-system-with-transfer-function-1-over-s-1-consider-the-following-three-statements-s1-the-system-is-stable-s2-hleft-t-1-r/#more-55488">Detailed SolutionLet h(t) denote the impulse response of a causal system with transfer function $${1 \over {s + 1}}.$$ Consider the following three statements: S1 : The system is stable. S2 : $${{h\left( {t + 1} \right)} \over {h\left( t \right)}}$$ independent of t for t > 0. S3 : A non-causal system with the same transfer function is stable. For the above system,
– 0.6{z^{ – 1}}} \right)}}} \to \boxed{{H_2}\left( z \right)} \to y\left( n \right)$$" class="read-more button" href="https://exam.pscnotes.com/mcq/two-systems-h1z-and-h2z-are-connected-in-cascade-as-shown-below-the-overall-output-yn-is-the-same-as-the-input-xn-with-a-one-unit-delay-the-transfer-function-of-the-second-system-h2z-is/#more-55160">Detailed SolutionTwo systems H1(z) and H2(z) are connected in cascade as shown below. The overall output y(n) is the same as the input x(n) with a one unit delay. The transfer function
of the second system H2(z) is $$x\left( n \right) \to \boxed{{H_1}\left( z \right) = \frac{{\left( {1 – 0.4{z^{ – 1}}} \right)}}{{\left( {1 – 0.6{z^{ – 1}}} \right)}}} \to \boxed{{H_2}\left( z \right)} \to y\left( n \right)$$
following and choose the correct combination. Group I Group II E. Continuous and aperiodic signal 1. Fourier representation is continuous and aperiodic. F. Continuous and periodic signal 2. Fourier representation is discrete and aperiodic. G. Discrete and aperiodic signal 3. Fourier representation is continuous and periodic. H. Discrete and periodic signal 4. Fourier representation is discrete and periodic.