When a time-invariant system is cascaded with a time-delay system, the order of the two systems does not matter. Thus we can delay the input \(x[n]\) and then filter it, or we can filter \(x[n]\) and then delay it. The following two demos show the details of these cascaded implementations for two different filters.

1st difference filter	Here is a block diagram example of time invariance with the 1st difference filter. Click on any of the blocks, the input or the output for a close-up.
5-point averager	Here is a block diagram example of time invariance with the 5-point averager. Click on any of the blocks, the input or the output for a close-up.