href="https://exam.pscnotes.com/mcq/the-fourier-transform-of-a-voltage-signal-xt-is-xf-the-unit-of-xf-is/#more-47574">Detailed SolutionThe Fourier transform of a voltage signal x(t) is X(f). The unit of |X(f)| is
of the filter is a" class="read-more button" href="https://exam.pscnotes.com/mcq/a-rectangular-pulse-of-duration-t-is-applied-to-a-filter-matched-to-this-input-the-output-of-the-filter-is-a/#more-47549">Detailed SolutionA rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a
– T)] is equal to" class="read-more button" href="https://exam.pscnotes.com/mcq/if-lft-fs-then-lft-t-is-equal-to/#more-47390">Detailed SolutionIf L[f(t)] = F(s), then L[f(t – T)] is equal to
coefficient in the exponential Fourier series of the output signal, then C3 is equal to" class="read-more button" href="https://exam.pscnotes.com/mcq/a-signal-2cos-left-2pi-over-3t-right-cos-left-pi-t-right-is-the-input-to-an-lti-system-with-the-transfer-function-hleft-s-right-es-e-s-if-c/#more-47360">Detailed SolutionA signal $$2\cos \left( {{{2\pi } \over 3}t} \right) – \cos \left( {\pi t} \right)$$ is the input to an LTI system with the transfer function
$$H\left( s \right) = {e^s} + {e^{ – s}}$$ If Ck denote the kth coefficient in the exponential Fourier series of the output signal, then C3 is equal to
of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output" class="read-more button" href="https://exam.pscnotes.com/mcq/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output/#more-47112">Detailed SolutionA signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output
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href="https://exam.pscnotes.com/mcq/a-hilbert-transformer-is-a/#more-46960">Detailed SolutionA Hilbert transformer is a
– {3 \over 4}{z^{ – 1}} + {1 \over 8}{z^{ – 2}}}}$$ Consider the following statements: S1 : The system is stable and causal for $$ROC:\left| z \right| > {1 \over 2}$$ S2 : The system is stable but not causal for $$ROC:\left| z \right| < {1 \over 4}$$ S3 : The system is neither stable nor causal for $$ROC:{1 \over 4} < \left| z \right| < {1 \over 2}$$ Which one of the following statements is valid?" class="read-more button" href="https://exam.pscnotes.com/mcq/the-transfer-function-of-a-discrete-time-lti-system-is-given-by-hleft-z-right-2-3-over-4z-1-over-1-3-over-4z-1-1-over-8z-2-consider-the-follo/#more-46919">Detailed SolutionThe transfer function
of a discrete time LTI system is given by $$H\left( z \right) = {{2 – {3 \over 4}{z^{ – 1}}} \over {1 – {3 \over 4}{z^{ – 1}} + {1 \over 8}{z^{ – 2}}}}$$ Consider the following statements: S1 : The system is stable and causal for $$ROC:\left| z \right| > {1 \over 2}$$ S2 : The system is stable but not causal for $$ROC:\left| z \right| < {1 \over 4}$$ S3 : The system is neither stable nor causal for $$ROC:{1 \over 4} < \left| z \right| < {1 \over 2}$$ Which one of the following statements is valid?