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12. BO marks Draw the structure of the filter having the following transfer function using direct...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
a.b. c. d. An FIR filter has the transfer function: If the following input sequence is entered into this filter: This will result in the output y[n] In the blank space provided, enter the length of the output sequence yin). Give a numerical answer for this. N, Determine the transfer function of the filter whose z-plane is given below. 0.5 -0.5 0.5 0.5 1.5 Real Part Enter the filter coefficient into the blank spaces below H(z) -2 An FIR filter...
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given block diagram to the transposed direct form II one. 2 (b) Determine the difference-equation representation of the system 4 (c) Find the transfer function for this causal filter and state the pole-zero pattern (d) Determine the impulse response of the system 2 (e) For what values of k is the system stable? (f) Determine yln if k 1 and...