Power of discrete sinusoidal signal?

kidsasd987
Messages
142
Reaction score
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: 507
  • upload_2015-10-17_15-45-43.png
    upload_2015-10-17_15-45-43.png
    12.7 KB · Views: 531
  • upload_2015-10-17_15-50-57.png
    upload_2015-10-17_15-50-57.png
    19 KB · Views: 499
  • upload_2015-10-17_15-51-43.png
    upload_2015-10-17_15-51-43.png
    16.8 KB · Views: 514
Mathematics news on Phys.org
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: 610
  • upload_2015-10-17_15-57-45.png
    upload_2015-10-17_15-57-45.png
    14.8 KB · Views: 518
  • daum_equation_1445122747470.png
    daum_equation_1445122747470.png
    22.5 KB · Views: 511
  • daum_equation_1445122747470.png
    daum_equation_1445122747470.png
    22.5 KB · Views: 521

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

Aliasing, Continuous sinusoids and discrete sinusoids....
Replies
3
Views
1K
I Informational content in 2D discrete Fourier transform
Replies
5
Views
2K
Wavelet transform (CWT and DWT)
Replies
4
Views
2K
Why is the sinusoidal considered the fundamental frequency?
Replies
22
Views
3K
I Rotating plate thrown parallel to ground
Replies
2
Views
1K
Discrete samples into continuous signal
Replies
1
Views
2K
Is my understanding of the Nyquist theorem correct?
Replies
4
Views
2K
Minimum time window needed to capture frequencies
Replies
2
Views
1K
Force transmitted to a block in viscous fluid through a spring, cord, and pulley
Replies
6
Views
776
Signal Processing: DFT spectrum of sinusoid signals
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top