• ...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 <
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  • === LTI systems and Fourier transforms === === LTI systems defined by Differential/difference equations ===
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  • The systems response to this signal would be... The systems response to this signal by direct computation would be...
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  • The unit impulse is the systems response to an input of the function <math>\delta(t)</math>.
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  • ...\infty} a_kH(j\omega_0 k) e^{j\omega_0 k}</math> from pg228 in Signals and Systems (Oppenheim & Willsky)
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  • The unit impulse response is simply the systems response to an input <math>\delta(t)\!</math>. Thus, in our case, the unit
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  • The system function is found using the following formula (for LTI systems)
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  • The system function can be found using the following formula (for LTI systems)
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  • == CT LTI Systems == For CT systems that are LTI:
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