Section A
Q1.
(a)
A band limited random signal X(t) has two-sided power spectral density SX(f) (PSD) given by
SX(f) = \begincases 10-6(3000 - \mid f \mid) \text watts/Hz for \mid f \mid ≤ 3 \text kHz \\ 0, \hspace1.5cm \textotherwise. \endcases
where f is frequency expressed in Hz.
This signal modulates a carrier cos 16000pit and resultant signal is passed through an ideal band pass filter of unit gain with central frequency of 8 kHz and bandwidth of 2 kHz. Draw two-sided power spectral density diagram for the given signal, modulated carrier and the output of the filter.
(b) Convert the given block diagram to equivalent signal flow graph. Find the transfer function using Mason's Gain Formula.
(c) What do cores mean in a processor ? Differentiate between Multi-core and Many-core architectures.