Is there something similar to Fourier Series where the harmonics are division by n? Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Why would you expand a square wave in a Fourier series?Sufficient Condition for the convergence of Fourier SeriesRectangular Width Fourier FunctionHow is the Fourier transform a generalization to the Fourier series?Why is the period of the function you are generating a fourier series for important?Convergence of the Fourier series of a continuously differentiable functionVisualization of Fourier series of $x sin(x)$What's the difference between Fourier Cosine and Sine Series besides the periodic function?A comparison of fourier series and fourier transformA question on Fourier Series and the frequency of the sinusoids

How do you clear the ApexPages.getMessages() collection in a test?

Why use gamma over alpha radiation?

Is drag coefficient lowest at zero angle of attack?

Biased dice probability question

What do you call the holes in a flute?

How is simplicity better than precision and clarity in prose?

Are my PIs rude or am I just being too sensitive?

How to politely respond to generic emails requesting a PhD/job in my lab? Without wasting too much time

How to set letter above or below the symbol?

Why is there no army of Iron-Mans in the MCU?

Unexpected result with right shift after bitwise negation

Passing functions in C++

Jazz greats knew nothing of modes. Why are they used to improvise on standards?

Who can trigger ship-wide alerts in Star Trek?

Can smartphones with the same camera sensor have different image quality?

Writing Thesis: Copying from published papers

How many things? AとBがふたつ

What was the last x86 CPU that did not have the x87 floating-point unit built in?

How can I make names more distinctive without making them longer?

3 doors, three guards, one stone

Was credit for the black hole image misattributed?

Is 1 ppb equal to 1 μg/kg?

90's book, teen horror

Replacing HDD with SSD; what about non-APFS/APFS?



Is there something similar to Fourier Series where the harmonics are division by n?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Why would you expand a square wave in a Fourier series?Sufficient Condition for the convergence of Fourier SeriesRectangular Width Fourier FunctionHow is the Fourier transform a generalization to the Fourier series?Why is the period of the function you are generating a fourier series for important?Convergence of the Fourier series of a continuously differentiable functionVisualization of Fourier series of $x sin(x)$What's the difference between Fourier Cosine and Sine Series besides the periodic function?A comparison of fourier series and fourier transformA question on Fourier Series and the frequency of the sinusoids










0












$begingroup$


thanks for any help!
Do there exist any techniques relating to writing a periodic function as a sum of sines or other functions where the inputs to those functions are x/n (for some n) instead of n*x (n in Z) as in typical Fourier Series?



Why I'm thinking about this: working on synthesizer software.










share|cite|improve this question









$endgroup$











  • $begingroup$
    Why would this help for synthesizer software?
    $endgroup$
    – Peter Foreman
    Mar 31 at 19:34










  • $begingroup$
    Its relevant to my software. To explain exactly why is far off topic because it relates to how I'm constructing the algorithms
    $endgroup$
    – Artem Lugin
    Mar 31 at 19:46















0












$begingroup$


thanks for any help!
Do there exist any techniques relating to writing a periodic function as a sum of sines or other functions where the inputs to those functions are x/n (for some n) instead of n*x (n in Z) as in typical Fourier Series?



Why I'm thinking about this: working on synthesizer software.










share|cite|improve this question









$endgroup$











  • $begingroup$
    Why would this help for synthesizer software?
    $endgroup$
    – Peter Foreman
    Mar 31 at 19:34










  • $begingroup$
    Its relevant to my software. To explain exactly why is far off topic because it relates to how I'm constructing the algorithms
    $endgroup$
    – Artem Lugin
    Mar 31 at 19:46













0












0








0





$begingroup$


thanks for any help!
Do there exist any techniques relating to writing a periodic function as a sum of sines or other functions where the inputs to those functions are x/n (for some n) instead of n*x (n in Z) as in typical Fourier Series?



Why I'm thinking about this: working on synthesizer software.










share|cite|improve this question









$endgroup$




thanks for any help!
Do there exist any techniques relating to writing a periodic function as a sum of sines or other functions where the inputs to those functions are x/n (for some n) instead of n*x (n in Z) as in typical Fourier Series?



Why I'm thinking about this: working on synthesizer software.







fourier-analysis fourier-series signal-processing






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 31 at 19:30









Artem LuginArtem Lugin

101




101











  • $begingroup$
    Why would this help for synthesizer software?
    $endgroup$
    – Peter Foreman
    Mar 31 at 19:34










  • $begingroup$
    Its relevant to my software. To explain exactly why is far off topic because it relates to how I'm constructing the algorithms
    $endgroup$
    – Artem Lugin
    Mar 31 at 19:46
















  • $begingroup$
    Why would this help for synthesizer software?
    $endgroup$
    – Peter Foreman
    Mar 31 at 19:34










  • $begingroup$
    Its relevant to my software. To explain exactly why is far off topic because it relates to how I'm constructing the algorithms
    $endgroup$
    – Artem Lugin
    Mar 31 at 19:46















$begingroup$
Why would this help for synthesizer software?
$endgroup$
– Peter Foreman
Mar 31 at 19:34




$begingroup$
Why would this help for synthesizer software?
$endgroup$
– Peter Foreman
Mar 31 at 19:34












$begingroup$
Its relevant to my software. To explain exactly why is far off topic because it relates to how I'm constructing the algorithms
$endgroup$
– Artem Lugin
Mar 31 at 19:46




$begingroup$
Its relevant to my software. To explain exactly why is far off topic because it relates to how I'm constructing the algorithms
$endgroup$
– Artem Lugin
Mar 31 at 19:46










0






active

oldest

votes












Your Answer








StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3169803%2fis-there-something-similar-to-fourier-series-where-the-harmonics-are-division-by%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes















draft saved

draft discarded
















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid


  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.

Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3169803%2fis-there-something-similar-to-fourier-series-where-the-harmonics-are-division-by%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Triangular numbers and gcdProving sum of a set is $0 pmod n$ if $n$ is odd, or $fracn2 pmod n$ if $n$ is even?Is greatest common divisor of two numbers really their smallest linear combination?GCD, LCM RelationshipProve a set of nonnegative integers with greatest common divisor 1 and closed under addition has all but finite many nonnegative integers.all pairs of a and b in an equation containing gcdTriangular Numbers Modulo $k$ - Hit All Values?Understanding the Existence and Uniqueness of the GCDGCD and LCM with logical symbolsThe greatest common divisor of two positive integers less than 100 is equal to 3. Their least common multiple is twelve times one of the integers.Suppose that for all integers $x$, $x|a$ and $x|b$ if and only if $x|c$. Then $c = gcd(a,b)$Which is the gcd of 2 numbers which are multiplied and the result is 600000?

Ingelân Ynhâld Etymology | Geografy | Skiednis | Polityk en bestjoer | Ekonomy | Demografy | Kultuer | Klimaat | Sjoch ek | Keppelings om utens | Boarnen, noaten en referinsjes Navigaasjemenuwww.gov.ukOffisjele webside fan it regear fan it Feriene KeninkrykOffisjele webside fan it Britske FerkearsburoNederlânsktalige ynformaasje fan it Britske FerkearsburoOffisjele webside fan English Heritage, de organisaasje dy't him ynset foar it behâld fan it Ingelske kultuergoedYnwennertallen fan alle Britske stêden út 'e folkstelling fan 2011Notes en References, op dizze sideEngland

Հադիս Բովանդակություն Անվանում և նշանակություն | Դասակարգում | Աղբյուրներ | Նավարկման ցանկ