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Discrete-Time Complex Exponential Sequence.

Discrete-Time Complex Exponential Sequence. Real Exponential Signal. Real Exponential Signal. Real Exponential Signal. Real Exponential Signal. Real Exponential Signal. Real Exponential Signal. Real-valued discrete exponentials are used to describe:- 1) Population growth as function of

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Discrete-Time Complex Exponential Sequence.

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  1. Discrete-Time Complex Exponential Sequence.

  2. Real Exponential Signal

  3. Real Exponential Signal

  4. Real Exponential Signal

  5. Real Exponential Signal

  6. Real Exponential Signal

  7. Real Exponential Signal Real-valued discrete exponentials are used to describe:- 1) Population growth as function of generation. 2) Total return on investment as a function of day, month or quarter.

  8. Sinusoidal Signals

  9. Discrete-time Sinusoidal Signals

  10. Discrete-time Sinusoidal Signals These discrete-time signals possessed:- 1) Infinite total energy 2) Finite average power.

  11. General Complex Exponential Signals

  12. General Complex Exponential Signals

  13. Periodicity Properties of Discrete-time Complex Exponentials There are differences in each of the above properties for the discrete-time case of

  14. Periodicity Properties of Discrete-time Complex Exponentials

  15. Periodicity Properties of Discrete-time Complex Exponentials

  16. Periodicity Properties of Discrete-time Complex Exponentials

  17. Periodicity Properties of Discrete-time Complex Exponentials

  18. Periodicity Properties of Discrete-time Complex Exponentials Second property concerns the periodicity of the discrete-time complex exponential.

  19. Discrete-time Sinusoidal Signals

  20. Fundamental Period & Frequency of discrete-time complex exponential

  21. Harmonically related periodic exponential sequence Considering periodic exponentials with common period N samples: This set of signals possess frequencies which are multiples of

  22. Harmonically related periodic exponential sequence In continuous-time case are all distinct signals for

  23. Harmonically related periodic exponential sequence Therefore , there are only N distinct periodic exponentials in the discrete harmonic sequences.

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