Questions tagged [lti-system]

An LTI system is a Linear Time Invariant system which means the such a system has additive properties and no memory.

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Differential equations of multiple input circuit

I am trying to find the linear differential equation(s) that describe this electrical circuit. When both resistances are equal, I have found the expression: With But how to do it with different ...
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Confused about the similarities between Fourier Series and Fourier Transform

My understanding of Fourier Series was, it is a method that decomposes a periodic signal into sum of signal given by infinite number of sines and cosines. And in case of Fourier Transform it was, that ...
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Second Order LTI Low Pass Filter solving for Voltage Out

I'm having a problem with understanding my textbook for solving the Voltage Out for the second order LTI Low pass RC Filter. Why do you need to find the square root in the given equation with the red ...
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Second Order Passive Low Pass Filter RC Circuit Design [closed]

I'm learning about Second Order Passive low Pass Filter RC Circuit for my homework. I need to create a circuit with a specification that has a 1 kHz cut off frequency. I quickly learned on how to ...
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Impulse Response of LTI Systems to Dirac Delta

I am reading a book on Linear Time-Invariant systems and came across the following: $$y(t) = T\{x(t)\}$$ where input $$x(t) = \int_{-\infty}^\infty x(\tau)\delta(t-\tau)\text{d}\tau$$ $\delta$ is ...
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What does hₖ[n] mean here?

Is the impulse response different from the output y[n]? Is the input x[n] all the delta function at different values of n? From Signals and Systems by Robert Oppenheim, Linear Time Invariant Systems:
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