A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation. The Laplace transform of a general sinusoid of unit amplitude will be formula 31. Note that the specification mentions only sinusoid waveforms. The resulting scalar is passed through a sinusoid. Fitting a model with a single sinusoid is a special case of least-squares spectral analysis. The DDS generates a complex sinusoid at the intermediate frequency (IF). The shape of the pulse is often a half cycle sinusoid. The magnitude of the flexure goes as an exponentially decaying sinusoid. If formula 28 is a simple sinusoid, the equation is called a Mathieu equation. To prove this, consider a sinusoid used as input to the general polynomial. In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates. Thus any sinusoid can be represented in terms of positive frequencies. The actual frequency of the sinusoid is indicated as "13" on the horizontal axis. The bandwidth of the noise changes and the masked thresholds for the sinusoid are measured. Figure 2, row 3 shows a DTFT for a rectangularly-windowed sinusoid.