List of top Communications Questions on ML detection asked in GATE EC

In the circuit below, assume that the long channel NMOS transistor is biased in saturation. The small signal transconductance of the transistor is \(g_m\). Neglect body effect, channel length modulation, and intrinsic device capacitances. The small signal input impedance \(Z_{in}(j\omega)\) is:

For a causal discrete-time LTI system with transfer function: \[ H(z) = \frac{2z^2 + 3}{(z + \frac{1}{3})(z - \frac{1}{3})}, \] which of the following statements is/are true?

An amplitude modulator has output (in Volts)
s(t) = A cos(400πt) + B cos(360πt) + B cos(440πt).
The carrier power normalized to 1 Ω resistance is 50 Watts. The ratio of the total sideband power to the total power is \( \frac{1}{9} \). The value of B (in Volts, rounded off to two decimal places) is ____.

An amplitude modulator has output (in Volts): \[ s(t) = A \cos(400\pi t) + B \cos(360\pi t) + B \cos(440\pi t). \] The carrier power normalized to \(1 \, \Omega\) resistance is 50 Watts. The ratio of the total sideband power to the total power is \(1/9\). The value of \(B\) (in Volts, rounded off to two decimal places) is \(\_\_\_\_\).