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CHAPTER 1 AND 2 (Signal = function (image image (image image (image,…

- - - - : describe output functions with the given input functions.
        
        LTC systems (linear time continuous)
        
        requirement of linear systems: (i) homogeneity and (ii) additivity http://www.dspguide.com/ch5/2.htm
      - : design LTC systems with the inputs, produce a desired behavior at the output
        
        NICE FUNCTIONS
        
        BEST:
        
        with C and a: complex numbers
        
        if a>0
        if a<0
        when a = 0, x(t) = constant
        
        EXAMPLE for a<0: an RC electronic circuit
        
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        EXAMPLE for a<0: radioactive decay
        
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        IN SUMMARY:
        
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        motion of a car
        
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      - modelling with 1st order ODEs (ordinary differential equation)
        
        freely moving body
        
        Our model:
        
        F (t): total force
        m: mass
        a: acceleration
        
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        x(t): the input
        y(t): the output
        a and b: constants
        
        what is ODE? https://en.wikipedia.org/wiki/Differential_equation
        
        what is 1st order ODEs? http://math.hawaii.edu/~yuen/242handouts/Math242-chapters-16-17.pdf
        
        what is 2nd order ODE? http://epsassets.manchester.ac.uk/medialand/maths/helm/19_3.pdf
        
        hand-writing note in the google drive
        
        modeling with 2nd order ODE
        
        pendulum
        
        OR
        OR
        
        Then
        
        if
        SO
        
        AND
        
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