Topic 7: Random Processes
{ For each n, Xn is a r.v., which can be continuous, discrete, or mixed. { Examples: Xn = Zn; n ‚ 1; Z » U[0;1]. Others: sending bits over a noisy channel, sampling of thermal noise. † When t comes from an uncountably inflnite set, the process is continuous-time. We then often denote the random process as X(t). At each t, X(t) is a random ...
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The autocorrelation function and the rate of change
www.ece.tufts.eduWhite noise † Band-limited white noise: A zero-mean WSS process N(t) which has the psd as a constant N0 2 within ¡W • f • W and zero elsewhere. { Similar to white light containing all frequencies in equal amounts.
Lecture 1: Entropy and mutual information
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Topic 6: Convergence and Limit Theorems
www.ece.tufts.eduTopic 6: Convergence and Limit Theorems ... – This is the Central Limit Theorem (CLT) and is widely used in EE. ES150 – Harvard SEAS 7 • Examples: 1. Suppose that cell-phone call durations are iid RVs with μ = 8 and σ = 2 (minutes). – Estimate the probability of 100 calls taking over 840 minutes.
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