What are the key characteristics of a Gaussian system and how do they impact its performance?

A Gaussian system is characterized by its normal distribution of data points, with a bell-shaped curve. This distribution allows for easy interpretation and analysis of data. The key characteristics of a Gaussian system include a mean value, standard deviation, and symmetry around the mean. These characteristics impact the system's performance by providing a clear understanding of the data distribution, making it easier to make predictions and decisions based on the data.