Homework - 13

Q1. Realise the following second order system by using direct form - I
          y[n]  =  y[n-1]  -0.5y[n-3]  +  0.5x[n-1]

Q2. Determine the direct form - II realisation for the following system:
          y[n]  =  -0.1y[n-1]  +  0.72y[n-2]  +0.7x[n]  - 0.252x[n-2]

Q3. Determine the transposed structure for the system given by the difference equation :
         y[n] = 0.5 y[n-1]  - 0.25 y[n-2]  +  x[n]  + x[n-1]

Q4. Realise the FIR system H(z) = ( 1 + 0.5z^-1)(1 + 0.5z^-1 + 0.25 z^-2) in
       Direct form and Cascade  form.

Q5. Let the coefficients of a three stage FIR lattice structure be K1 = 0.1, K2 = 0.2, and K3 = 0.3.
       Find the  coefficients of direct form - I FIR filter and draw its block diagram.

Q6. An FIR filter is given by y[n] = x[n] + (2/5) x[n-1] + (3/4)x[n-2] + (1/3) x[n-3].
       Draw the lattice structure.

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Good Day !