write answers for all questions with varient number 7 on a paper with all steps
Individual Work
Of Digital Filter Analysis
I.An algorithm of digital filter (DF processing is given by a difference equation y(n) = box(n) + bx(n-1)+bx(n-2) -ay(n-1) - a2y(n-2) It is required to do:
1) write down a difference equation according to your variant 2)obtain the appropriate DF system function H(z);
3 find the DF pulse response using different methods: long division method (5
samples) and simple fraction decomposition method;
4compute and sketch the DF pulse response*;
5 write down an expression for complex transfer function K()
6) compute and sketch the DF amplitude and phase frequency response, also known as the modulo and the argument of complex transfer function ;
7 make and draw scheme of direct DF realization;
8 represent the system function in a form, suitable for making canonical DF realization;make and draw the scheme of canonical DF realization;
9 represent the system function in a form, suitable for making cascade DF realization
with first-order or second-order filters;make and draw the scheme of cascade DF realization;
10) represent the system function in a form, suitable for making parallel DF realization with first-order or second-order filters;make and draw the scheme of parallel DF realization;
11compute and sketch the DF response if initial sequence is given by samples:0.5 1;1;1;0.5;0;0;0;}*
Table 1-Difference Equation coefficients Variant No b(0) b(1) 1 1 -1 2 1 3 1 4 2.2 -1.1 5 1.4 6 1 -1.5 7 1.2 0.6
b(2)
a1 1.0 -1.5 1.2 1.2 1.6 -0.2 0.2
a(2) 0.24 0.56 0.27 0.36 0.63 -0.24 -0.24
0.28
