Create the page "Systems" on this wiki! See also the search results found.
- =Linear Systems= ...the natural log (ln) of any input, then the output for sum of the parallel systems would yield <math>ln(x(t)) + ln(w(t)) \ </math>1 KB (270 words) - 09:58, 12 September 2008
- Time Invariant Systems are systems that produce the same output for a given input signal that has a time shift821 B (152 words) - 13:44, 12 September 2008
- ==Linear Systems==804 B (172 words) - 17:03, 12 September 2008
- When two separate signals x(t) and y (t) enter two systems individually and their outputs are separately multiplied by constants a and1 KB (282 words) - 18:13, 12 September 2008
- * [[3.A Cory Ocker Systems Properties_ECE301Fall2008mboutin]] * [[3.A Nicholas Gentry - Systems and Properties_ECE301Fall2008mboutin]]12 KB (1,763 words) - 11:27, 16 September 2013
- First let's take a quick look at the example systems' results to determine what the system does.1 KB (207 words) - 10:38, 17 September 2008
- ...any future value of 't'. Furthermore, we can conclude that all memoryless systems are causal because they only depend on a present value of 't'.862 B (150 words) - 18:27, 16 September 2008
- So, the systems response to cos(2t is:532 B (89 words) - 11:09, 15 September 2008
- ==Formal Definition of Memoryless Systems== ==Formal Definition of Causal Systems==2 KB (318 words) - 14:57, 25 September 2008
- '''Invertible systems'''625 B (115 words) - 08:57, 18 September 2008
- == Time Invariant Systems == == Time Variant Systems: ==523 B (94 words) - 13:46, 16 September 2008
- Systems given: The basic concept known from the systems given is:682 B (131 words) - 15:55, 16 September 2008
- ...x(t)\!</math> reaction to a past or future time. Thus, these functions are systems with memory. Jayanth's Comments : THE EXAMPLES given for systems with memory is WRONG. (t-3)^2 is a scalar.So system is memory-less.1 KB (202 words) - 15:42, 19 September 2008
- ...ote:''' The above is for continuous time (CT) systems. Discrete time (DT) systems behave in almost exactly the same way; simply substitute all "(t)" with "[n2 KB (291 words) - 17:03, 18 September 2008
- == Memoryless Systems == == Systems with Memory ==392 B (78 words) - 06:42, 18 September 2008
- ...<math>x(t)=exp(-2jt)</math> is <math>y(t)=t*exp(2jt)</math>. What is the systems response to <math>x(t)=cos(2t)</math>?731 B (160 words) - 06:59, 18 September 2008
- The Systems response to527 B (109 words) - 08:35, 18 September 2008
- ...se to <math>cos(2t)\,</math> will be <math>tcos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=tx(-t)\,</math>.171 B (31 words) - 08:10, 18 September 2008
- ...h>cos(2t)=\frac{1}{2}(e^{2jt}+e^{-2jt}) \! </math>. Note we are given the systems response to the inputs <math>e^{2jt} \!</math> and <math>e^{-2jt} \!</math>636 B (119 words) - 12:08, 18 September 2008
- Or more easily understood, if both systems give the same output for any799 B (157 words) - 13:21, 18 September 2008
- So what is the systems response to cos(2t)?558 B (109 words) - 15:09, 18 September 2008
- ...r combination of the two exponential inputs above. Then as a result of the systems linearity, the output will be the just be the linear combination of the out855 B (147 words) - 16:46, 18 September 2008
- =Basic Systems Properties ([[ECE301]])= ==Causal and Non-Causal Systems==2 KB (437 words) - 11:47, 30 January 2011
- Finally, by the multiplication property of linear systems:817 B (143 words) - 14:29, 19 September 2008
- '''Memoryless Systems''' '''Systems with Memory'''654 B (118 words) - 21:21, 18 September 2008
- '''Memoryless Systems''' '''Systems With Memory'''710 B (134 words) - 11:40, 19 September 2008
- To relate to the systems that were already use in example371 B (77 words) - 08:09, 19 September 2008
- == Memory and Memoryless Systems ==1,019 B (198 words) - 10:05, 19 September 2008
- == Causal & Non-casual Systems==673 B (109 words) - 16:45, 19 September 2008
- Systems with memory492 B (87 words) - 11:46, 30 January 2011
- ...tion of [[3.A David Hartmann - Linear System_ECE301Fall2008mboutin| Linear systems]] we know the response to <math>\alpha x_1(t) + \beta x_2(t) </math> is <786 B (156 words) - 15:32, 19 September 2008
- [[Category:signals and systems]] ...ignals_and_systems_practice_problems_list|practice problem on "Signals and Systems"]]1 KB (217 words) - 11:04, 16 September 2013
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- === LTI systems and Fourier transforms === === LTI systems defined by Differential/difference equations ===2 KB (243 words) - 08:04, 21 November 2008
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