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Results tagged with linear-systems
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user 57268
A linear system operates on inputs with only linear operators so the response to a complex input can be analysed as the sum of the response to a set of simpler inputs. This mathematical property makes the analysis of linear systems much simpler than non-linear systems where this summation or superposition does not hold. Linear systems are generally further classified as time invariant, meaning that there characteristics do not change over time.
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When is a LTI IIR $H(z)$ system minimum phase
EDIT: I failed to mention that the system's inverse also needs to be causal and stable.
I cannot wrap my mind around on how when a system and its inverse are both causal and stable and LTI IIR it is …
- 139
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Finding the impulse response of an c.t LTI system through the step response
Say we have a continuous LTI system of which we know the analytical expression of its step response. Let's call it $y_{\text{step}}(t)$. Having $y_{\text{step}}(t)$ (and therefore also $Y_{\text{step} …
- 139
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Inverse of a causal and stable system
Consider a discrete-time causal and stable LTI system $S_1$. The inverse system $S_2$ is defined as the system that takes the output of $S_1$ as its input and provides the input of $S_1$ as its ou …
- 139