Questions tagged [linear-systems]

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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Is the system $L\{f[m,n]\}= c[m,n] f[m,n]$ shift invariant?

$c[m,n]$ is the spatially varying gain. My prof says that its not shift invariant. However if we put $m=m-k$ and $n=n-l$ we get $c[m-k,n-l] f[m-k,n-l]$ which is how a shift invariant system should ...
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classify the system if it's linear , non-linear , time variants or invariants [closed]

classify the system if it's linear , non-linear , time variants or invariants
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What Are Some Examples of Applications of LTI Systems

I'm giving a lecture on LTI systems. I encountered some questions: for a discrete LTI system H with impulse response h, is the system applied on signal x(t) equals x*h - normal discrete convolution ...
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Compute output of a LTI system

Is it possible to compute the output from one linear time invariant system which unit impulse sequence is: $$h(n) = \left(\frac{1}{3}\right)^nu(n)$$ and the entry in the system is: x(n)=u(n)-u(n-...
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Are there existing third system (linearity, non linear, !!!)?

I like to know your idea about is there any third system after linear, none linear classification. Could we consider more universe dimension than 4 dimensions (time, XYZ) like 11 dimensions of Ā ...