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[[Category:ECE301Spring2013JVK]] [[Category:ECE]] [[Category:ECE301]] [[Category:probability]] [[Category:problem solving]] | [[Category:ECE301Spring2013JVK]] [[Category:ECE]] [[Category:ECE301]] [[Category:probability]] [[Category:problem solving]] | ||
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1. [[Category:LTI systems]] | 1. [[Category:LTI systems]] | ||
Linear and Non Linear | Linear and Non Linear | ||
Linear example <math>y[n] = 54x[n]</math>, <math>h[n] = 62x[n]</math>, <math>y[n] + h[n] = 54x[n] + 62x[n]</math> | Linear example <math>y[n] = 54x[n]</math>, <math>h[n] = 62x[n]</math>, <math>y[n] + h[n] = 54x[n] + 62x[n]</math> | ||
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Non Linear example <math>y(t) =x^3(t)</math>, <math>h(t) = x^3(t)</math>, <math>y(t) + h(t) = (x(t)+x(t))^2</math> =\= <math>x^2(t) +x^2(t)</math> | Non Linear example <math>y(t) =x^3(t)</math>, <math>h(t) = x^3(t)</math>, <math>y(t) + h(t) = (x(t)+x(t))^2</math> =\= <math>x^2(t) +x^2(t)</math> | ||
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Invertible example <math>y(t)=5x(t)</math> | Invertible example <math>y(t)=5x(t)</math> | ||
Nonivertible example <math>y(t)=x^4(t)</math> | Nonivertible example <math>y(t)=x^4(t)</math> | ||
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Stable and Nonstable | Stable and Nonstable | ||
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Time variant and Time invariant | Time variant and Time invariant | ||
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Time variant example <math>y(t)=3tx(t)</math> | Time variant example <math>y(t)=3tx(t)</math> | ||
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Part 1:[[Image:Convol_1.jpg]] | Part 1:[[Image:Convol_1.jpg]] | ||
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Part 2:[[Image:Convol_2.jpg]] | Part 2:[[Image:Convol_2.jpg]] | ||
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Part 3:[[Image:Convol_3.jpg]] | Part 3:[[Image:Convol_3.jpg]] | ||
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Part 4:[[Image:Convol_4.jpg]] | Part 4:[[Image:Convol_4.jpg]] | ||
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| + | I apologize for my terrible quality pictures. | ||
3. [[Category:period]] | 3. [[Category:period]] | ||
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| + | What is the fundamental period of the following equation. | ||
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| + | <math>y(t)=4sin(3t+pi/6)</math> | ||
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| + | Its fundamental period is <math>= 2pi/3</math> | ||
| + | Comments and Questions... | ||
[[Bonus_point_1_ECE301_Spring2013|Back to first bonus point opportunity, ECE301 Spring 2013]] | [[Bonus_point_1_ECE301_Spring2013|Back to first bonus point opportunity, ECE301 Spring 2013]] | ||
Latest revision as of 15:48, 10 February 2013
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1. Linear and Non Linear
Linear example $ y[n] = 54x[n] $, $ h[n] = 62x[n] $, $ y[n] + h[n] = 54x[n] + 62x[n] $
Non Linear example $ y(t) =x^3(t) $, $ h(t) = x^3(t) $, $ y(t) + h(t) = (x(t)+x(t))^2 $ =\= $ x^2(t) +x^2(t) $
Causal and Non Causal
Causal example $ y[n]=70x[n-1] $ Non Causal example $ y[n]=76x[n+1] $
Memory and Memoryless
Memory example $ y[n]=x[n]+x[n-1] $ Memoryless example $ y[n]=36x[n] $
Invertible and noninvertible
Invertible example $ y(t)=5x(t) $ Nonivertible example $ y(t)=x^4(t) $
Stable and Nonstable
Stable example $ y(t)=sin(3t) $ Nonstable example $ y(t)=4e^3x(t) $
Time variant and Time invariant
Time variant example $ y(t)=3tx(t) $ Time Invariant example $ y(t)=3x(t) $
2.
Part 1:
Part 2:
Part 3:
Part 4:
I apologize for my terrible quality pictures.
3.
What is the fundamental period of the following equation.
$ y(t)=4sin(3t+pi/6) $
Its fundamental period is $ = 2pi/3 $
Comments and Questions...
