name a linear filter and a non-linear filter,describe the details

A linear filter is a type of filter that applies a linear transformation to an input signal. One example of a linear filter is the moving average filter. This filter works by taking the average of a specified number of samples from the input signal and outputting the resulting average as the filtered output. The moving average filter is simple to implement and is useful for removing high-frequency noise from a signal.

On the other hand, a non-linear filter is a type of filter that applies a non-linear transformation to an input signal. A common non-linear filter is the median filter. This filter works by taking the median value of a window of samples from the input signal and outputting the resulting median value as the filtered output. The median filter is effective at removing impulse noise from a signal, such as salt-and-pepper noise. Unlike linear filters, non-linear filters are more complex to implement but can be more effective in certain situations.