Plot of the Real and Imaginary part of the damped sinusoid signal

The plot of poles of the damped sinusoid function is shown in Fig. 29. For a decaying sinusoid, the real part of the pole is negative. The plot of a damped sinusoid is shown below. The plot is generated using a MathCad program. The complex frequency signal is defined as shown below.

In this function, a = 0.5 and w = 4p . The plots are shown for a duration of 2 s.

We can extract the real and the imaginary parts and plot these functions.



Plot of the Imaginary part of the damped sinusoid signal

Plot of the Real part of the damped sinusoid signal 

 



source: http://www.netlecturer.com/NTOnLine/T13_SIGNALS/p03CompFreq.htm

Complex frequency function

2. State the complex frequency