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Jitter, Noise, and Signal Integrity at High-Speed by Mike Peng Li

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2. Statistical Signal and Linear Theory for Jitter, Noise, and Signal Integrity

This chapter discusses statistical signal and linear system theory in two parts. Part A focuses on the relevant topics of random variables and distribution, statistical estimators, sampling theorem, statistical process, and spectral analysis. Part B focuses on linear time-invariant (LTI) theorem, statistical estimators, and power spectrum density (PSD) analysis within an LTI system. Those theorems will be used extensively throughout the rest of the book.

Part A: Probability, Statistics, Stochastic Signal

We will introduce only statistical topics that are used and relevant to the rest of the chapters. We do not intend to cover details and treat statistical subjects ...

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