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| − | == Memoryless System == | + | == Definition of Memoryless System == |
A system is classified as memoryless if at any given <math>t_o\,</math>, the output <math>y(t)\,</math> at <math>t_o\,</math> depends only on the input at the time <math>t_o\,</math> | A system is classified as memoryless if at any given <math>t_o\,</math>, the output <math>y(t)\,</math> at <math>t_o\,</math> depends only on the input at the time <math>t_o\,</math> | ||
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The system is memoryless because it only depends on the input <math>x(t)\,</math>at current time. The <math>t-1\,</math> is just the value of the time when a signal is inputted into a system | The system is memoryless because it only depends on the input <math>x(t)\,</math>at current time. The <math>t-1\,</math> is just the value of the time when a signal is inputted into a system | ||
| − | == System with Memory == | + | == Definition of System with Memory == |
A system is classified as system with memory if the output <math>y(t)\,</math> at <math>t_o\,</math> depends on the input at the any time, whether it's in the future or in the past. | A system is classified as system with memory if the output <math>y(t)\,</math> at <math>t_o\,</math> depends on the input at the any time, whether it's in the future or in the past. | ||
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The system is a system with memory because it depends on the input <math>x(t-1)\,</math>at time <math>t = t - 1\,</math>. | The system is a system with memory because it depends on the input <math>x(t-1)\,</math>at time <math>t = t - 1\,</math>. | ||
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| + | [[Homework_3_ECE301Fall2008mboutin|Back to HW3]] | ||
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| + | [[Main_Page_ECE301Fall2008mboutin|Back to ECE301 Fall 2008]] | ||
Latest revision as of 11:55, 30 January 2011
Contents
Definition of Memoryless System
A system is classified as memoryless if at any given $ t_o\, $, the output $ y(t)\, $ at $ t_o\, $ depends only on the input at the time $ t_o\, $
Example
$ y(t) = 2x(t) + (t-1)^2 \, $
The system is memoryless because it only depends on the input $ x(t)\, $at current time. The $ t-1\, $ is just the value of the time when a signal is inputted into a system
Definition of System with Memory
A system is classified as system with memory if the output $ y(t)\, $ at $ t_o\, $ depends on the input at the any time, whether it's in the future or in the past.
Example
$ y(t) = 2x(t-1) \, $
The system is a system with memory because it depends on the input $ x(t-1)\, $at time $ t = t - 1\, $.
