• == Linear System == A linear system is a system in which you can send the sum of any inputs and when you
    838 B (157 words) - 10:00, 11 September 2008
  • ...tem to get an output w(t). If z(t)=w(t), then this system can be called a linear system. == Example of a Linear System ==
    2 KB (346 words) - 11:26, 11 September 2008
  • == Linear Systems == Because we are engineers we will use a picture to describe a linear system:
    1 KB (225 words) - 17:05, 11 September 2008
  • A linear system is a system that an output of a certain signal is the sum of all the For example, to prove that a system is linear, suppose that a system with output <math>y(t)</math> and input <math>x(t)</
    2 KB (290 words) - 19:23, 11 September 2008
  • == Definition of Linear System == A system is considered linear if for any constants a, b that exist within the complex domain and for any
    2 KB (285 words) - 07:21, 12 September 2008
  • My definition of linearity in terms of systems is: ...ose output combined with a linear shift is equivalent to the output if the linear shift is on the input of the system.
    711 B (128 words) - 09:45, 12 September 2008
  • ...is defined as a system that contains superposition in the book(Signals and Systems 2nd ed. Oppenheim, 53). How I see it is if the input signal has a magnitude == Linear System Example ==
    947 B (193 words) - 14:54, 12 September 2008
  • =Linear Systems= A linear system is defined as a system that if two inputs were placed in parallel in
    1 KB (270 words) - 09:58, 12 September 2008
  • ==Linear Systems== ==Example of a Linear System==
    804 B (172 words) - 17:03, 12 September 2008
  • A linear system is as follows: When two separate signals x(t) and y (t) enter two systems individually and their outputs are separately multiplied by constants a and
    1 KB (282 words) - 18:13, 12 September 2008
  • * [[3.A Cory Ocker Systems Properties_ECE301Fall2008mboutin]] * [[3.A David Hartmann - Linear System_ECE301Fall2008mboutin]]
    12 KB (1,763 words) - 11:27, 16 September 2013
  • For an LTI (Linear, Time-Invariant) system f, where <math>h(t) = f(\delta(t))</math>, the syst ...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 "[n
    2 KB (291 words) - 17:03, 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>? If a system is linear we know that:
    731 B (160 words) - 06:59, 18 September 2008
  • : The Signal is Linear :Since the system is linear you can split the signal in two parts
    527 B (109 words) - 08:35, 18 September 2008
  • ...{2jt} \!</math> and <math>e^{-2jt} \!</math>. Thus, because the system is linear, we can easily see the system's output to this input will be <math>\frac{1}
    636 B (119 words) - 12:08, 18 September 2008
  • A system is linear if: Or more easily understood, if both systems give the same output for any
    799 B (157 words) - 13:21, 18 September 2008
  • ...n as a result of the systems linearity, the output will be the just be the linear combination of the outputs of the two exponential above.
    855 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
  • We know that the system is linear, therefore, we can sum the inputs to equal the sum of outputs: Finally, by the multiplication property of linear systems:
    817 B (143 words) - 14:29, 19 September 2008
  • ...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

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