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Engineering · Electrical Engineering
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Q 3(a) [20 Marks] (i) Explain the bilinear transformation method, by deriving a discrete-time filter transfer function from the following analogue prototype filter The digital filter should have a sampling period of 0.1 sec, and its magnitude response at the normalised frequency F 0.25 should be equal to that of the analogue prototype filter at 1 radian/sec. [13 marks] (ii) Draw a signal flow graph for the designed infinite impulse response (IR) [7 marks] filter in Direct Form lII [13 Marks] Q 3(b) The following is a Matlab function designed to simulate the operation of a finite impulse response (FIR) filter on a sample-by-sample basis function outpdcu FIR (inp); global NA NB A B xhist yhist; % write sample to D/A outp = yhist ( 1 ) ; xhist (1) inp; accout0 for jj -1:NB, % read sample from A/D % calculate new output: accoutaccout B(ii)*xhist (ii) end yhist (1)accout % shift xhǐst 1 sample down for jj -(NB) (-1) :2, xhist (jj) -xhist (jj-1); end end (i) draw a corresponding signal flow diagram, (ii) show how the code may be extended to simulate an IIR filter [5 marks] [8 marks]

Please give me detailed solutions step by step, I am just trying to learn, thank you so much in advance! 2018R

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