16 362 Signal and System I Signal energy
- Slides: 17
16. 362 Signal and System I • Signal energy and power Instantaneous power Average power in time interval t 1 to t 2 Average power over infinite period Energy in time interval t 1 to t 2 Total energy
16. 362 Signal and System I • Signal energy and power– discrete time Instantaneous power Average power in time interval N 1 to N 2 Average power over infinite period Energy in time interval N 1 to N 2 Total energy
16. 362 Signal and System I • Transform of the independent variable (1) Time-shift New point located at
16. 362 Signal and System I • Transform of the independent variable (1) Time-shift New point located at
16. 362 Signal and System I • Transform of the independent variable (2) Time-reversal New point located at
16. 362 Signal and System I • Transform of the independent variable (3) Scale New point located at
16. 362 Signal and System I Example 1 1 2 -1 -2/3 1 2 2 1 1 1 2 -2
16. 362 Signal and System I • Periodical signal • Even and odd signals even odd • Any signal has its even and odd signal part Even part Odd part
16. 362 Signal and System I • Exponential and Sinusoidal signals Real exponential: C, and a are real numbers a>0, exponentially increase with t. a<0, exponentially decrease with t. Complex exponential: Euler’s relation: C, and a are real numbers
16. 362 Signal and System I • Exponential and Sinusoidal signals Energy in one period: Average power:
16. 362 Signal and System I • Exponential and Sinusoidal signals, discrete-time Real exponential: C, and a are real numbers a>0, exponentially increase with n. a<0, exponentially decrease with n. Complex exponential: C, and a are real numbers Periodicity properties of discrete-time complex exponential: 0 has a period of 2 N has a period of 2 / 0
16. 362 Signal and System I Example:
16. 362 Signal and System I • Discrete-time unit impulse and unit step function Unit impulse Unit step
16. 362 Signal and System I • Discrete-time unit impulse and unit step function
16. 362 Signal and System I • continuous-time unit impulse and unit step function Unit step Unit impulse
16. 362 Signal and System I • continuous-time unit impulse and unit step function
16. 362 Signal and System I • Continuous-time and discrete-time systems Continuous-time Discrete-time System diagram and properties will be discussed in later chapters.
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Energy energy transfer and general energy analysis
Energy energy transfer and general energy analysis
Baseband signal and bandpass signal
Baseband signal and bandpass signal
What is the product of an even signal and odd signal?
Digital signal as a composite analog signal
Energy of signal
Signal and system
Signal and systems
Signal and system
Open system closed system and isolated system
