Unformatted text preview: y [ n ] = 0 . 5 y [ n1] + x [ n ] . Using ztransform, determine the formula for the response of this system to input x [ n ] = u [ n ]. 4. The input to a digital ﬁlter is x [ n ] = { ⇓ 1 , . 5 } and the response is described by y [ n ] = δ [ n + 1]2 δ [ n ]δ [ n1]. (a) Determine the transfer function of this ﬁlter. (b) Is this a FIR ﬁlter or an IIR ﬁlter? Justify. (c) Is this ﬁlter stable? Is it causal? Justify....
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 Spring '08
 IZATT
 LTI system theory, Finite impulse response, Draw block diagrams

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