Question

The system described by the equation y(n)=ay(n-1)+b x(n) is a recursive system.

(a) True

(b) False

The question was asked by my college professor while I was bunking the class.

This is a very interesting question from Implementation of Discrete Time Systems in section Discrete Time Signals and Systems of Digital Signal Processing

Answer 1

Correct answer is (a) True

To explain: Since the present output depends on the value of the previous output, the system is called a Recursive system.