GATE IN 2015 Question Paper (01-Feb-2015) (Shift 2)

For the circuit shown in the figure, the rising edge triggered D-flip flop with asynchronous reset has a clock frequency of 1 Hz. The NMOS transistor has an ON resistance of 1000Ω and an OFF resistance of infinity. The nature of the output waveform is

A transfer function G(s) with the degree of its numerator polynomial zero and the degree of its denominator polynomial two has a Nyquist plot shown in the figure. The transfer function represents

In the circuit shown in the figure, both the NMOS transistors are identical with their threshold voltages being 5 V. Ignoring channel length modulation, the output voltage Vₒᵤₜ in volt is__________ V.

The signal x[n] = sin(πn/6)/(πn) is processed through a linear filter with the impulse response h[n] = sin(ω${}_c$ n) /(πn) where ω${}_c$ > π/6. The output of the filter is

A signal is band-limited to 0 to 12 kHz. The signal spectrum is corrupted by additive noise which is band-limited to 10 to 12 kHz. Theoretically, the minimum rate in kilohertz at which the noisy signal must be sampled so that the UNCORRUPTED PART of the signal spectrum can be recovered, is __________kHz.