Getting the components of a sum of square waves

rollingstein
Messages
644
Reaction score
16
If I have a periodic function that is say a sum of a number of sine functions I can use a Fourier Transform to get the component functions.

Now, if I have a bunch of square waves of differing amplitudes and frequencies that I add up into a resultant waveform. Given that waveform what'd be the mathematical operation to get at its individual component square waves? Is there any?
 
Mathematics news on Phys.org
Surely you just mean the 'inverse Fourier transform'?
 
HallsofIvy said:
Surely you just mean the 'inverse Fourier transform'?

I think not; but now I'm confused. I'll read / think more and get back. Thanks!
 

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 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

B Combinatorics and Magic squares
Replies
2
Views
2K
A Measure of non-periodicity of almost periodic functions
Replies
1
Views
2K
Can a Square Wave Tachometer Drive be Powered by a Sine Waveform?
Replies
16
Views
3K
I Monumental Proof Settles Geometric Langlands Conjecture
Replies
1
Views
2K
I Phase and group velocity for the wave function
Replies
14
Views
705
The mathematical definition of "wave"?
2
Replies
61
Views
10K
I Dispersion: Why are Sine-like Functions Fundamental?
Replies
6
Views
1K
I Orthogonal Basis of Periodic Functions: Beyond Sines and Cosines
3
Replies
139
Views
9K
I Can New Theorems Predict Incomplete 5x5 Magic Square Solutions?
2
Replies
68
Views
11K
I How Does the Sum of Random Signals Flatten as Their Number Increases?
Replies
16
Views
3K

Hot Threads

Recent Insights

Back
Top