Skip to content

Sine wave generation playground. Documented things are work in progress, and not guaranteed as proper solutions.

Notifications You must be signed in to change notification settings

retorillo/sine-wave

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

10 Commits
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

Sine Wave

Sine wave generation playground. Documented things are work in progress, and not guaranteed as proper solutions.

Generating Sine Sweep

Description Unit
x current time (starts with 0) second
H initial frequency hertz
n easing factor
K frequency multiplier
D0 initial frequency duration second
D1 easing duration second
D2 K-fold frequency duration second
D wave duration (= D0 + D1 + D2) second

To change frequency of wave, at first, focus on acceleration of time e(x). e(x) goes from 1(current freq.) to K(K-fold freq.). And its integral E(x) is described as "distored time".

n provides easing function as follows:

n easeing function
1 linear ease
2 quadratic ease
3 cubic ease
4 biquadratic ease
5 quintic ease

Finally, formula is defined as follows:

Appending wave

Partially generated sine wave does not ends with end of cycle unless its last arguments is integral multiple of 2 * PI, so must remember its offset value to append next partial wave,

If x is reset zero for each partial wave, in case that the last sine argument A is only provided, offset is described as follows:

Of course, if fmod function is avaiable: offset = fmod(A, 2 * PI)

Finalizing wave

As above mentioned, sine wave does not always ends with end of cycle, so must adjust last partial wave duration by additional duration. This operation is called "finalize" on this document.

Finalizing algoritm is similar with appending partial wave. In case that the last sine argument A and frequency H are provided, additional duration can be computed as follows:

License

Authored by Retorillo

No Rights Reserved (CC0)

About

Sine wave generation playground. Documented things are work in progress, and not guaranteed as proper solutions.

Topics

Resources

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published