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Help proving if a system is LTI?
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[QUOTE="jssamp, post: 5002110, member: 398599"] If it is time invariant the output you get from a time shifted input is the same as if you time shifted the output the same amount. You have system H and its output y such that the system is described by y[n] = H{ x[n] }, if you shift input x1[n] so you get a new input x2[n] = x1[n-1] and you put this new input into H you get y2[n] = H{ x1[n-1] } and you shift the output so y1[n-1] = H{ x1[n] }, y2[n] = y1[n-1] for time invariant system. if it is linear then if the inputs x[n] = x1[n] produce output y[n] = y1[n] and x[n] = x2[n] produces y[n] = y2[n] then x[n] = a*x1[n] + b*x2[n] will have output y[n] = ay1[n] + by2[n] [/QUOTE]
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Help proving if a system is LTI?
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