Discrete-Time Filters
Paolo Prandoni, Martin Vetterli · EPFL Press eBooks · 2008
The previous Chapters gave us a thorough overview on both the nature of discrete-time signals and on the tools used in analyzing their properties. In the next few Chapters, we will study the fundamental building block of any digital signal processing system, that is, the linear filter. In the discrete-time world, filters are nothing but procedures which store andmanipulatemathematically the numerical samples appearing at their input and their output; in other words, any discrete-time filter can be described procedurally in the form of an algorithm. In the special case of linear and time-invariant filters, such an algorithm can be concisely described mathematically by a constant-coefficient difference equation.