gen_sin

Simulates a Sinusoidal Process Process with parameter $\alpha^2$ and $\beta$

internal

A system contains easy-to-use tools as a support for time series analysis courses. In particular, it incorporates a technique called Generalized Method of Wavelet Moments (GMWM) as well as its robust implementation for fast and robust parameter estimation of time series models which is described, for example, in Guerrier et al. (2013) <doi: 10.1080/01621459.2013.799920>. More details can also be found in the paper linked to via the URL below.

St<c3><a9>phane Guerrier

simts

Time Series Analysis Tools

Stéphane Guerrier

James Balamuta

Roberto Molinari

Justin Lee

Lionel Voirol

Yuming Zhang

Wenchao Yang

Nathanael Claussen

Yunxiang Zhang

Christian Gunning

Romain Francois

Ross Ihaka

R Core Team 

gen_sin function

<dl><dt>N</dt>
<dd>An <code>integer</code> for signal length.</dd>
<dt>alpha2</dt>
<dd>A <code>double</code> that contains the squared amplitude parameter alpha2.</dd>
<dt>beta</dt>
<dd>A <code>double</code> that contains the angular frequency parameter beta.</dd></dl>

Arguments

The function first generates a initial cycle oscillation at t=0 from a Uniform law with parameter a = 0 and b = 2 * pi 
and then compute the signal from its definition $$X_t = \alpha \sin(\beta t + U)$$.

Generation Algorithm

Generate a Sinusoidal Process given $\alpha^2$ and $\beta$. — gen_sin

<dl>

<dt>N</dt>
<dd>An <code>integer</code> for signal length.</dd>


<dt>alpha2</dt>
<dd>A <code>double</code> that contains the squared amplitude parameter alpha2.</dd>


<dt>beta</dt>
<dd>A <code>double</code> that contains the angular frequency parameter beta.</dd>

</dl>

The function first generates a initial cycle oscillation at t=0 from a Uniform law with parameter a = 0 and b = 2 * pi 
and then compute the signal from its definition $$X_t = \alpha \sin(\beta t + U)$$.

gen_sin: Generate a Sinusoidal Process given \(\alpha^2\) and \(\beta\).

Description

Usage

Value

Arguments

Generation Algorithm