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Bài giảng Xử lý tín hiệu số: Signal and System in Time Domain - Ngô Quốc Cường (ĐH Sư phạm Kỹ thuật)

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Bài giảng "Xử lý tín hiệu số: Signal and System in Time Domain" cung cấp cho người học các kiến thức: Discrete time signals, discrete time systems, LTI systems. Mời các bạn cùng tham khảo nội dung chi tiết.

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Nội dung Text: Bài giảng Xử lý tín hiệu số: Signal and System in Time Domain - Ngô Quốc Cường (ĐH Sư phạm Kỹ thuật)

  1. Xử lý tín hiệu số Signal and System in Time Domain Ngô Quốc Cường ngoquoccuong175@gmail.com Ngô Quốc Cường sites.google.com/a/hcmute.edu.vn/ngoquoccuong
  2. Signal and System in Time Domain • Discrete time signals • Discrete time systems • LTI systems 2
  3. 2.1 Discrete - time signals • A discrete time signal x(n) is a function of an independent variable that is integer. 3
  4. 2.1 Discrete - time signals • Alternative representation of discrete time signal: 4
  5. 2.1 Discrete - time signals • Alternative representation of discrete time signal: 5
  6. 2.1.1 Some elementary signals 6
  7. 2.1.1 Some elementary signals 7
  8. 2.1.1 Some elementary signals 8
  9. 2.1.1 Some elementary signals 9
  10. 2.1.2 Classification of discrete time signal • Energy signals and power signal – The energy E of a signal x(n) is given: – If E is finite, x(n) is call an energy signal. 10
  11. 2.1.2 Classification of discrete time signal • Energy signals and power signal – The average power P of a signal x(n) is defined: – If P is finite (and nonzero), x(n) is called a power signal. 11
  12. 2.1.2 Classification of discrete time signal • Energy signals and power signal – Example: the average power of the unit step signal is: 12
  13. 2.1.2 Classification of discrete time signal • Periodic signals and aperiodic signals – A signal x(n) is periodic with period N (N >0) if and only if 13
  14. 2.1.2 Classification of discrete time signal • Symmetric (even) and antisymmetric (odd) signals – A real value signal x(n) is call symmetric if – A signal is call antisymmetric if 14
  15. 2.1.2 Classification of discrete time signal • Symmetric (even) and antisymmetric (odd) signals 15
  16. 2.1.2 Classification of discrete time signal – The even signal component is formed by adding x(n) to x(- n) and dividing by 2. – Odd signal component 16
  17. 2.1.3 Simple manipulations of signals • Transformation of time – A signal x(n) may be shifted by replacing n bay n-k. • k is positive number: delay • k is negative number: advance – Folding: replace n by -n – Time scaling: replace n by cn (c is an integer) 17
  18. 2.1.3 Simple manipulations of signals • Transformation of time – Find x(n-3) and x(n+2) of x(n) 18
  19. 2.1.3 Simple manipulations of signals • Transformation of time – Find x(-n) and x(-n+2) of x(n) 19
  20. 2.1.3 Simple manipulations of signals • Transformation of time – Show the graphical representation of y(n) = x(2n), where x(n) is 20
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