Digital Filter Structure

# Digital Filter Structure Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

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Digital Filter Structure

The difference equation

If bk= 0 non recursive or all zero filter.

Direct Form – I

1. Easily implemented using computer program.

2. Does not make most efficient use of memory = M+Np+NF delay elements.

Direct form-II

Smaller  no. of delay elements = Max of (M, Np) + NF

1. They lack hardware flexibility, in that, filters of different orders, having different no. of multipliers and delay elements.

2. Sensitivity of co-efficient to quantization effects that occur when using finite -precision
arithmetic.

Cascade Combination of second-order section (CSOS)

Ex:

Ex:

Parallel Combination of Second Order Section (PSOS)

Ex:

Ex:

obtain PSOS

A = 8/3 B = 10 C = -35/3

Jury – Stability Criterion

 ROWS COEFFICIENTS 12 bo b1 …….    bNbN bN-1 …….  bo 34 Co C1 …….    CN-1CN-1 CN-2 ……. Co 56 do d1 …….    dN-2dN-2 dN-3 ……. do ...2 N-3 r0 r1 r2

i. D(1) > 0

ii. (-1)N D(-1) > 0

Ex:

 12 4     3      2     1   11     1      2     3   4 34 15   11    6     1  1      6     11   15 5 224    159   79

D(1) = 4+3+2+1+1 = 11 > 0,            (-1)4 D(-1) = 3 >0

Stable.

Ans: Unstable

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