Overview
This script generates a time series plot to illustrate the amplification of an input signal. The input signal is a sine wave with added noise, and the output signal is an amplified version of this input signal. The plot includes annotations and an arrow to indicate the amplification process. The final plot is saved as an SVG file.

Script Details
Time Array Generation

A time array t is created using np.linspace to span from 0 to 10 with 100 equally spaced points.
Input Signal

The input signal v1 is generated as a sine wave using np.sin(t).
Output Signal

Random noise is added to the input signal to create a more realistic scenario. This noise is generated using np.random.normal.
The output signal vo is then created by combining the input signal v1 with the noise.
Amplification

The input signal vi is obtained by amplifying the output signal vo by a factor of 1.35.
Plotting

The input signal vi is plotted in blue.
The output signal vo is plotted in red with a dashed line.
An arrow is drawn to indicate the amplification process.
Text labels are added to provide context for the amplification and the mathematical relationship between the signals.
Dependencies
Python 3.x
NumPy
Matplotlib
Instructions
Ensure you have the necessary libraries installed. If not, you can install them using pip:

The script can be executed directly in a Python environment. Ensure the working directory has write permissions to save the SVG file.

Notes
The script includes grid lines, axis labels, and a legend for clarity.
The plot limits are set to provide a clear view of the signal and the amplification process.
The plt.savefig function is used to save the plot as an SVG file, which can be easily scaled without losing quality.
Contact
For any questions or further information, please contact the author of the script.