Formal Example
A more formal proof of why system A & B from above differ is now presented. To perform this proof, the second definition will be used.
System A:
- Start with a delay of the input
- Now delay the output by
- Clearly, therefore the system is not time-invariant.
System B:
- Start with a delay of the input
- Now delay the output by
- Clearly, therefore the system is time-invariant. Although there are many other proofs, this is the easiest.
Read more about this topic: Time-invariant System
Famous quotes containing the word formal:
“Then the justice,
In fair round belly with good capon lined,
With eyes severe and beard of formal cut,
Full of wise saws and modern instances;
And so he plays his part.”
—William Shakespeare (15641616)
“The spiritual kinship between Lincoln and Whitman was founded upon their Americanism, their essential Westernism. Whitman had grown up without much formal education; Lincoln had scarcely any education. One had become the notable poet of the day; one the orator of the Gettsyburg Address. It was inevitable that Whitman as a poet should turn with a feeling of kinship to Lincoln, and even without any association or contact feel that Lincoln was his.”
—Edgar Lee Masters (18691950)