GATE EC 2014 Question Paper (15-Feb-2014) (Shift 2)

For the following system



For X₁(s) = 0, transfer function $\frac{Y\left(s\right)}{X_2\left(s\right)}$ is

The capacity of band-limited additive white Gaussian Noise (AWGN) channel is given by $C=W{\log }_2\left[1+\frac{P}{{\sigma }^{2}w}\right]$ bits per second (bps), where W is the channel Bandwidth, P is the average power received and σ² is the one-sided power spectral density of the AWGN.

For a fixed $\frac{P}{{\sigma }^2}=1000$, the channel capacity (in kbps) with infinite Bandwidth (W → ∞) is approximately

Consider sinusoidal modulation in an AM system. Assuming no over-modulation, the modulation index (𝜇) when the maximum and minimum values of the envelope, respectively, are 3 V and 1 V, is ________.

To maximize power transfer, a lossless transmission line is to be matched to a resistive load impedance via a λ/4 transformer as shown.



The characteristic impedance (in Ω) of the λ/4 transformer is _______.

Which one of the following field patterns represents a TEM wave traveling in the positive 'x' direction?