GATE EC 2020 Question Paper (02-Feb-2020) (Shift 2)

The pole-zero map of a rational function G(s) is shown below. When the closed contour Γ is mapped into the G(s)-plane, then the mapping encircles

A digital communication system transmits a block of N bits. The probability of error in decoding a bit is α. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of its bits is decoded wrongly. The probability that the received block is erroneous is

The impedances Z = jX, for all X in the range (-∞, ∞), map to the Smith chart as

Which one of the following pole-zero plots corresponds to the transfer function of an LTI system characterized by the input-output difference equation given below?

$y\left[n\right]=\sum _{k=0}^3{\left(-1\right)}^{k}x\left[n-k\right]$

In the given circuit, the two-point network has the impedance matrix ≤ft[ Z ] = ≤ft[ {*20c 40&60\\ 60&120 } ]. The value of Z${}_L$ for which maximum power is transferred to the load is _______ Ω.