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Is there a relationship between the input and output?
We learned that input is the process of taking something in, while output is the process of sending something out, and that an input-output model shows the relationship of those factors going in so that a company can produce a final good.
What is the relationship between the input and the output?
Positive and Negative: A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship. On the other hand a negative relationship is one where more of one input leads to less of another output.
What are the properties of discrete time LTI?
Dr. Deepa Kundur (University of Toronto)Discrete-Time LTI Systems and Analysis8 / 61 Discrete-Time LTI SystemsDiscrete-time Systems Common Properties ICausal system: output of system at any time n depends only on present and past inputs Ia system is causal i y(n) = F [x(n);x(n 1);x(n 2);:::] for all n.
Which is the equivalent of B in LTI?
IA is EQUIVALENT to B IA = B Dr. Deepa Kundur (University of Toronto)Discrete-Time LTI Systems and Analysis5 / 61 Discrete-Time LTI SystemsDiscrete-time Systems Common Properties ITime-invariant system: input-output characteristics do not change with time Ia system is time-invariant i x(n) ! Ty(n) =) x(n n 0) ! Ty(n n
How is the output of a discrete time system written?
Extending the notion of causality to signals we can then see that the output of a causal LTI discrete-time system can be written in terms of the convolution sum as where we first used the causality of the input ( x[k] = 0 for k < 0) and then that of the system, i.e., h[n − k] = 0 whenever n − k < 0 or k > n.
Which is the convolution sum proof for discrete-time LTI systems?
Discrete-Time LTI SystemsThe Convolution Sum PROOF Therefore, X1 n=1 jh(n)j= 1 guarantees that there exists a bounded input that will result in an unbounded output, so it is also anecessarycondition and we can write: X1 n=1 jh(n)j<1(=LTI system is stable Puttingsu\ciencyandnecessitytogether we obtain: X1 n=1