Periodic wave that oscillates between two discrete values
$begingroup$
I feel like I have seen one before, maybe in a simulation in Desmos, but is there a wave that looks like the following picture that changes between two values. And if so, what is it called?
Picutre of graph
graphing-functions
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
$endgroup$
add a comment |
$begingroup$
I feel like I have seen one before, maybe in a simulation in Desmos, but is there a wave that looks like the following picture that changes between two values. And if so, what is it called?
Picutre of graph
graphing-functions
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
$endgroup$
add a comment |
$begingroup$
I feel like I have seen one before, maybe in a simulation in Desmos, but is there a wave that looks like the following picture that changes between two values. And if so, what is it called?
Picutre of graph
graphing-functions
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
$endgroup$
I feel like I have seen one before, maybe in a simulation in Desmos, but is there a wave that looks like the following picture that changes between two values. And if so, what is it called?
Picutre of graph
graphing-functions
graphing-functions
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
asked Dec 3 '18 at 17:21
Kidus AmareKidus Amare
62
62
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
It is called square wave.
If $w(t)$ is the square wave
$$
w(t) = mathrm{sign}left(sinleft(frac tTright)right)
$$
and you want a wave that oscillates between values $a$ and $b$, then you can consider
$$
frac{a+b}2 + frac{b-a}2 w(t) .
$$
Of course to change the period you change $T$ and to shift in time you use $w(t-t_0)$.
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024369%2fperiodic-wave-that-oscillates-between-two-discrete-values%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
It is called square wave.
If $w(t)$ is the square wave
$$
w(t) = mathrm{sign}left(sinleft(frac tTright)right)
$$
and you want a wave that oscillates between values $a$ and $b$, then you can consider
$$
frac{a+b}2 + frac{b-a}2 w(t) .
$$
Of course to change the period you change $T$ and to shift in time you use $w(t-t_0)$.
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
$endgroup$
add a comment |
$begingroup$
It is called square wave.
If $w(t)$ is the square wave
$$
w(t) = mathrm{sign}left(sinleft(frac tTright)right)
$$
and you want a wave that oscillates between values $a$ and $b$, then you can consider
$$
frac{a+b}2 + frac{b-a}2 w(t) .
$$
Of course to change the period you change $T$ and to shift in time you use $w(t-t_0)$.
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
$endgroup$
add a comment |
$begingroup$
It is called square wave.
If $w(t)$ is the square wave
$$
w(t) = mathrm{sign}left(sinleft(frac tTright)right)
$$
and you want a wave that oscillates between values $a$ and $b$, then you can consider
$$
frac{a+b}2 + frac{b-a}2 w(t) .
$$
Of course to change the period you change $T$ and to shift in time you use $w(t-t_0)$.
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
$endgroup$
It is called square wave.
If $w(t)$ is the square wave
$$
w(t) = mathrm{sign}left(sinleft(frac tTright)right)
$$
and you want a wave that oscillates between values $a$ and $b$, then you can consider
$$
frac{a+b}2 + frac{b-a}2 w(t) .
$$
Of course to change the period you change $T$ and to shift in time you use $w(t-t_0)$.
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
edited Dec 3 '18 at 17:29
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
answered Dec 3 '18 at 17:23
FedericoFederico
4,899514
4,899514
add a comment |
add a comment |
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024369%2fperiodic-wave-that-oscillates-between-two-discrete-values%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
