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Example: | Example: | ||
| − | <math>y[n] = (2x[n] - x^2[n])^2</math> | + | <font size ="4"><math>y[n] = (2x[n] - x^2[n])^2</math></font> |
| − | As the value of <math>y[n]</math> at any particular time | + | |
| + | As the value of <math>y[n]</math> at any particular time <math>n_0</math> depends only on the value of <math>x[n]</math> at that time. | ||
| + | |||
| + | == System w/ Memory == | ||
| + | |||
| + | A system with memory corresponds to the presense of a mechanism in the system that retains information about input values at times other than the current time. | ||
| + | |||
| + | Example: | ||
| + | |||
| + | <math>y(t) = \frac{1}{C} \int_{t}^{\infty} x(\tau) d\tau</math> | ||
Latest revision as of 15:29, 16 September 2008
Memoryless System
A system is said to be memoryless if its output for each value of the independent variable at a given time is dependent only on the input at that same time.
Example:
$ y[n] = (2x[n] - x^2[n])^2 $
As the value of $ y[n] $ at any particular time $ n_0 $ depends only on the value of $ x[n] $ at that time.
System w/ Memory
A system with memory corresponds to the presense of a mechanism in the system that retains information about input values at times other than the current time.
Example:
$ y(t) = \frac{1}{C} \int_{t}^{\infty} x(\tau) d\tau $
