Power of discrete sinusoidal signal?

In summary, a discrete sinusoidal signal is a periodic signal with a repeating sine or cosine wave pattern, and a specific frequency and amplitude. Its power is the average energy per unit time, calculated by squaring the amplitude and dividing it by the signal's period. This can also be calculated using the RMS value. The power is affected by the amplitude, frequency, noise, and interference in the signal. It is used in practical applications to determine signal strength, quality, and to optimize system performance.
  • #1
kidsasd987
143
4
upload_2015-10-17_15-54-33.png


I am a little confused of the last step.
We can set an upper boundary for any arbitrary large number M, so it seems ok.

do you agree on the last statement?
 

Attachments

  • upload_2015-10-17_15-45-33.png
    upload_2015-10-17_15-45-33.png
    12.7 KB · Views: 494
  • upload_2015-10-17_15-45-43.png
    upload_2015-10-17_15-45-43.png
    12.7 KB · Views: 509
  • upload_2015-10-17_15-50-57.png
    upload_2015-10-17_15-50-57.png
    19 KB · Views: 480
  • upload_2015-10-17_15-51-43.png
    upload_2015-10-17_15-51-43.png
    16.8 KB · Views: 497
Mathematics news on Phys.org
  • #2
somehow getting a small picture..
 

Attachments

  • upload_2015-10-17_15-57-18.png
    upload_2015-10-17_15-57-18.png
    29.5 KB · Views: 591
  • upload_2015-10-17_15-57-45.png
    upload_2015-10-17_15-57-45.png
    14.8 KB · Views: 500
  • daum_equation_1445122747470.png
    daum_equation_1445122747470.png
    22.5 KB · Views: 490
  • daum_equation_1445122747470.png
    daum_equation_1445122747470.png
    22.5 KB · Views: 506

FAQ: Power of discrete sinusoidal signal?

1. What is a discrete sinusoidal signal?

A discrete sinusoidal signal is a signal that has a repeating pattern of a sine or cosine wave, with a specific frequency and amplitude. It is a type of periodic signal that is commonly used in signal processing and communication systems.

2. What is the power of a discrete sinusoidal signal?

The power of a discrete sinusoidal signal is the average amount of energy per unit time that is contained in the signal. It is a measure of the signal's strength and is calculated by squaring the amplitude of the signal and dividing it by the signal's period.

3. How is the power of a discrete sinusoidal signal calculated?

The power of a discrete sinusoidal signal is calculated by squaring the amplitude of the signal and dividing it by the signal's period. It can also be calculated by taking the square of the RMS (root mean square) value of the signal.

4. What factors affect the power of a discrete sinusoidal signal?

The power of a discrete sinusoidal signal is affected by the amplitude and frequency of the signal. A higher amplitude or frequency will result in a higher power, while a lower amplitude or frequency will result in a lower power. Additionally, noise and interference in the signal can also affect its power.

5. How is the power of a discrete sinusoidal signal used in practical applications?

The power of a discrete sinusoidal signal is an important factor in signal processing and communication systems. It is used to determine the strength and quality of a signal, and to ensure that the signal is strong enough to be accurately processed and transmitted. It is also used to compare different signals and to optimize the performance of systems that use discrete sinusoidal signals.

Similar threads

Back
Top