I am a self-learner of DSP by reading related books.
While reading Time domain Analysis of DT (Discrete Time) system, I suddenly got introduced to difference equation representing a system. It then further stated -
The response of any DT system can be decomposed as : Total Response = Zero State Response + Zero Input response
Where Zero state response is system response due to input alone and zero input response is when input is zero.
It goes further on to explain Natural, Forced and Total System Response - but unfortunately I am unable to map it to a concept.
For me its like response of a car engine (example per say or anything - a system) is like response when engine is not started + when engine is started - but this does not makes any sense for me. The engine system why should it consider zero input response at all. Its just a change of its state.
Similarly I am trying to understand Natural / Forced response but do not get the concept quiet clear. Also What is the role of studying them and where can we apply these concepts?
What is meant by recursive and non-recursive system - though my understanding is when system output is fed again into system as its input, it would then make the system call as recursive system - but why does a system need to do that?