Randomly sampled digital filters

The concept of a randomly sampled digital filter is introduced and formulated in this paper. An equivalent problem, which is of utmost importance in digital filtering, is also considered, namely, the problem of digital filtering with faulty samplers. Error analysis is carried out in two different approaches: 1) frequency response method, and 2) worst-case analysis. With the confirmation of experimental verification, very simple formulas are derived that are applicable under different realistic assumptions, and are most appealing to practical design purposes.