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Discrete time
LTI (Linearity and Time Invariance) systems
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can be classified
into FIR and IIR.
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An FIR filter has
impulse response h(n) that extends only
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over a finite
time interval, say 0≤ n ≤ M, and is
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identically zero
beyond that:
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{h0, h1, h2 . . . , hM, 0, 0, 0 . . .}
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M is referred to
as the filter order.
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The output y(n)
in FIR is simplified to the finite-sum form:
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or, explicitly
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