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
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
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
< {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?