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== Invertible Systems == | == Invertible Systems == | ||
| + | - These are systems in which one distinct input signal produces one distinct output signal <br /> | ||
| + | |||
| + | Systems which '''ARE''' invertible are: <br /> | ||
| + | |||
| + | y(t) = 2x(t) + 3 <br /> | ||
| + | |||
| + | y[n] = x[n] <br /> | ||
| + | |||
| + | Systems which '''ARE NOT''' invertible are: <br /> | ||
| + | |||
| + | y(t) = |x(t)| <br /> | ||
| + | |||
| + | y[n] = (x[n])<sup>2</sup> <br /> | ||
| + | |||
| + | These are not invertible because for each system, multiple inputs result in one output. <br /> | ||
== Causal Systems == | == Causal Systems == | ||
Revision as of 16:20, 17 November 2018
Contents
System Properties
Memoryless Systems
- These are systems whose output signals only depend upon input signals at the specific time. These systems do not depend upon the past input signal, nor the future.
Systems which ARE memoryless are:
y(t) = x(t)
y[n] = 2x[n] - 1
Systems which ARE NOT memoryless are:
y(t) = x(t-1)
y[n] = 2x[2n]
Invertible Systems
- These are systems in which one distinct input signal produces one distinct output signal
Systems which ARE invertible are:
y(t) = 2x(t) + 3
y[n] = x[n]
Systems which ARE NOT invertible are:
y(t) = |x(t)|
y[n] = (x[n])2
These are not invertible because for each system, multiple inputs result in one output.
