GATE Communications: Random Processes – Previous Year Questions
15 GATE previous year questions on Random Processes (Communications, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2017 EC Q61 – Let X(t) be a wide sense stationary random process with the power spectral density S X(f) as shown in Figure (a), where f is in Hertz (Hz). The random…
- GATE 2018 EC Q38 – Consider a white Gaussian noise process N(t) with two-sided power spectral density S N(f)=0.5 W/Hz as input to a filter with impulse response…
- GATE 2019 EC Q30 – Let Z be an exponential random variable with mean 1. That is, the cumulative distribution function of Z is given by F Z(x)=cases1-e-x&if x0\\0&if…
- GATE 2019 EC Q55 – Let a random process Y(t) be described as Y(t)=h(t)*X(t)+Z(t), where X(t) is a white noise process with power spectral density S X(f)=5 W/Hz. The…
- GATE 2020 EC Q34 – The random variable Y= -W(t)(t)\,dt,where (t)=cases1;&5 t7\\0;&otherwisecases and W(t) is a real white Gaussian noise process with two-sided power…
- GATE 2021 EC Q31 – The autocorrelation function R X() of a wide-sense stationary random process X(t) is shown in the figure. The average power of X(t) is .
- GATE 2022 EC Q23 – The frequency response H(f) of a linear time-invariant system has magnitude as shown in the figure. Statement I: The system is necessarily a pure…
- GATE 2022 EC Q48 – A state transition diagram with states A, B, and C, and transition probabilities p 1,p 2,,p 7 is shown in the figure (e.g., p 1 denotes the…
- GATE 2022 EC Q64 – Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, f(x),…
- GATE 2023 EC Q30 – For a real signal, which of the following is/are valid power spectral density/densities?
- GATE 2023 EC Q36 – A random variable X, distributed normally as N(0,1), undergoes the transformation Y=h(X), given in the figure. The form of the probability density…
- GATE 2023 EC Q59 – Let X(t) be a white Gaussian noise with power spectral density 12 W/Hz. If X(t) is input to an LTI system with impulse response e-tu(t). The average…
- GATE 2024 EC Q20 – A white Gaussian noise w(t) with zero mean and power spectral density N 02, when applied to a first-order RC low pass filter produces an output n(t).…
- GATE 2024 EC Q57 – Let X(t)=A(2 f 0t+) be a random process, where amplitude A and phase are independent of each other, and are uniformly distributed in the intervals…
- GATE 2025 EC Q42 – Consider a real-valued random process f(t)= n=1Na n\,p(t-nT), where T>0 and N is a positive integer. Here, p(t)=1 for t[0,0.5T] and 0 otherwise. The…