20.6.1.4. Cosine

The Cosine block outputs a cosine wave signal of:

  • Time-based type

  • Sample-based type

The time-based type of cosine wave is defined by the following equation.

\({y}={Amp} \cdot \cos {\left( {t}\cdot {Frequency + Phase} \right)}+{Bias}\)

The sample-based type cosine wave is defined by the following equation.

\({y}={Amp} \cdot \cos { \left( 2 \pi \cdot \left( \frac{t}{S_{Period} \cdot t_{Sample}}+\frac{N_{Offset}}{S_{Period}} \right) \right) } +Bias\)

where,
\(t\) is the simulation time
\(y\) is the output.

Dialog box

../_images/image0803.png

Figure 20.33 Cosine dialog box

Table 20.5 Parameters

Parameter(s)

Description

Cosine Type

Select Time-based or Sample-based.

Amplitude

Enter the amplitude of cosine wave.

Bias

Enter the offset value of cosine wave.

Frequency(rad/sec)

Enter the frequency of time-based cosine wave.

Phase (rad)

Enter the phase angle of time-based cosine wave.

Samples per Period

\(S_{period}\)

Enter the number of samples per period for the sample-based cosine wave.

Number of Offset Samples

\(N_{offset}\)

Enter the discrete phase offset in the number of sample times of sample-based cosine wave.

Sample Time

\(t_{sample}\)

Enter the time interval between samples

  • If the cosine type is the :

    • Time-based and the sample time is zero, the block outputs continuous signal of cosine wave.

    • Time-based and the sample time is greater than zero, the block outputs discrete signal of cosine wave.

    • Sample-based, the sample time must be greater than zero.