gate questions
A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density 𝑁0/2.

Q. A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density 𝑁0/2. Binary signaling, with 0 ↦ 𝑝(𝑑) and 1 ↦ π‘ž(𝑑), is used for the transmission, along with an optimal receiver that minimizes the bit-error ...

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In the circuit shown, if 𝑣(𝑑) = 2 sin(1000 𝑑) volts, 𝑅 = 1 kΞ© and 𝐢 = 1 πœ‡F, then the steady-state current 𝑖(𝑑), in milliamperes (mA), is

Q. In the circuit shown, if 𝑣(𝑑) = 2 sin(1000 𝑑) volts, 𝑅 = 1 kΞ© and 𝐢 = 1 πœ‡F, then the steady-state current 𝑖(𝑑), in milliamperes (mA), is (A) sin(1000 𝑑) +   cos(1000 𝑑)(B) 2 sin(1000 𝑑) + 2 cos(1000 𝑑)(C) 3 sin(1000 𝑑) + cos(1000 𝑑)(D) sin(1000 𝑑) + 3 cos(1000 𝑑) Ans: 3 ...

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Consider the line integral

Q. Consider the line integral ∫(π‘₯𝑑𝑦 βˆ’ 𝑦𝑑π‘₯) 𝐢 the integral being taken in a counterclockwise direction over the closed curve 𝐢 that forms the boundary of the region 𝑅 shown in the figure below. The region 𝑅 is the area enclosed by the union of a 2 Γ— 3 rectangle and a semi-circle of radius ...

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