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Sampling and Aliasing in Signals and Systems

Dive into the concepts of sampling, aliasing, ideal reconstruction, D-to-A conversion, and pulse shapes for reconstruction in signals and systems. Explore the Sampling Theorem, band-limited signals, and the spectrum analysis for better signal understanding. Get ready for a comprehensive lecture on chapters 3 and 4, with end-of-chapter questions to test your knowledge.

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Sampling and Aliasing in Signals and Systems

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  1. Signals and Systems Lecture 13: Sampling and Aliasing

  2. Today's lecture • Aliasing • Folding • Ideal Reconstruction • D-to-A Reconstruction • Pulse Shapes for Reconstruction • Sampling Theorem & Band-limited Signals

  3. The Rest of The Story

  4. Spectrum for x[n]

  5. Spectrum (More Lines)

  6. Spectrum (Folding Case)

  7. D-to-A Reconstruction

  8. D-to-A is Ambiguous!

  9. Spectrum (Aliasing Case)

  10. Reconstruction (D-to-A)

  11. Sample & Hold Device

  12. Square Pulse Case

  13. Over-Sampling Case

  14. Math Model for D-to-A

  15. Expand the Summation

  16. Pulse Shapes

  17. Optimal Pulse

  18. Assignment # 3 • Chapter 4 • End of Chapter questions • P-4.5 Page 96 • P-4.6 Page 97 • P-4.8 Page 97 • P-4.11 Page 98 • P-4.12 Page 98 • P-4.16 Page 99 • Submission Date: Before the start of lecture,

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