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Signal works: time varying and time invariant

2022-06-29 10:08:00 【It's mally!】

Signal works ： Time varying and time invariant

The effect is

Signals and systems

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Definition of time invariant systems ：

The parameters of a time invariant system do not change with time , Therefore, the form of the zero state response of the system is independent of the time when the input signal is connected

Easy to understand ：

The effect of response only depends on how long it takes to start , It doesn't matter when it started

such as

Pre exam 2 Months from zero to learn the test content , And before the exam 1 Week begins to learn , The same week invested , But the effect is different , This can be said to be time-varying .

And for example “ Wisdom Tree ” Reward for the first day of punch in 2 A bean , Clock in 3 Days reward 5 doug , It's only related to the duration of clock in , It has nothing to do with starting a week , This is the constant .

And how to compare whether two functions are time-varying

A The system is in 0 Start when , stay t=( $t_1-t_0$ ) The value of y1,
another B The system is in $t_0$ Start , stay t= $t_1$ The value of y2.
if y1 be equal to y2, It is said that this is a non time varying .

and B yes A Move right to get , That is, the functional formula changes .
A The point on the is from $(t_1-t_0)$ , That is, the point changes .
You can see the following figure .
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Contrast figure

about y=t

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y=-t

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