Question
Question 1: A filter is described by the difference equation y(n) = y(n-1)+3x(n) - 4x(n-4). (a)...
Question 1: A filter is described by the difference equation y(n) = y(n-1)+3x(n) - 4x(n-4). (a) What is its transfer function? (b) Draw the signal-flow diagram of a realization of the filter.
Answers
govern nen) - (2-4) difference equation - you = 409-1) + Mini * -(0) Apply z transform to difference O equottery (a) Apply z UD precny42 transforms 1 xcni z transform. x12 Hegn-ng) - z Tron storm, x(z) { "e Yen - gems = yen-n tū nemi - Ya min-1) z konsform opplyng 712) = y czy z2 + 1 h X (2) - 1/4 XL2) Y[2] [1-44) = 4*[2] [7-21] 8(2) -2 Tronger foneton - year X(2) 4 (1 - 7") Reali galios realize con We can filler by (1) Direct form. I realization (~ Direct form I realizattyDirect form - I reali zotion Y *(1-4) yen - yeny ) + 2 * 2/4361---XP H ) Men) T you) 1 N corres sig god flow diagrams nodes . y eg, 7 ) za I bronchy Dinect form -j realizohen . jost on interahonge Direct form blocks, I ] yen * *0 7 *+ you signal flow corresponding yer) diagram - y Adder node) ryes this un bronches
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