d. Two IIR filter coefficients are given below, respectively, IIR system 1: Nume
ID: 1799336 • Letter: D
Question
d. Two IIR filter coefficients are given below, respectively,IIR system 1:
Numerator coefficients: bBP = [0.0201 0.0000 -0.0402 0.0000 0.0201 ];
Denominator coefficients: aBP = [1.0000 -2.1192 2.6952 -1.6924 0.6414 ];
IIR system 2:
Numerator coefficients: bHP =[ 0.0938 -0.3753 0.5630 -0.3753 0.0938 ];
Denominator coefficients: aHP =[ 1.0000 0.0784 0.8267 0.2597 0.1960 ];
i. Determine the transfer function using z-transform for the first IIR system.
ii. Determine the difference equation for the first IIR system.
Explanation / Answer
(i)
Transfer function = (0.0201 + 0.0 z-1 - 0.0402 z-2 +0.0 z-3 + 0.0201z-4)/ (1 - 2.1192z-1+ 2.6952z-2 -1.6924z-3 + 0.6414z-4)
(ii)
Difference equation
y[n] -2.11922y[n-1] +.6952y[n-2] -1.6924y[n-3]+ 0.64140y[n-4]
= .0201x[n]+ 0.0x[n-1] -0.0402x[n-2]+ 0.0x[n-3]+ 0.0201x[n-4]
If any doubt then ask me
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.