Question

Please answer the problem below for all parts . Please show all work and write clearly. The answers are below, but work must be shown to get to the answers. Thanks.

answers

8.14. Design a second-order digital bandpass Chebyshev filter with the following specifications: Center frequency of 1.5 kHz Bandwidth of 200 Hz 0.5 dB passband ripple Sampling frequency of 8,000 Hz a. Determine the transfer function and difference equation. 8.14 a. 0.1815-0.1815z2 1-0.6265z +0.6370z y(n)-0.1815x(n)-0.1815x(n-2)+0.6265y(n1) 0.6370y(n-2)

Answer 1

Given that Reguency f kz 8anduidth ,200 ㎐ paschand ippleo.5d Sanpleng - 15 ,g,000 Hz 유eguency T& ta where Ltpm214n 32007 3000 tan 3200 T R ㅈ 8000 1bob0x 6 7265 2 2800T

: 1b000 tan ( 28001 b000 3D0071 lbcoo tan 30001 1600D passband Band with JH ap - 1826 pootbtype ansbomation 2,8623. 10,518 ว1pple) +2.8628 2.8629 S+ 2,8628 S 2.8629 .2 $+ 2)8629 st

241 0.521D 지04 L6000 x 21 Z41 5210 216x10x71 16000 ) 2 /2-1 2t I booD 2t l I600D i6aco) 016210 o2 2+1 / 2-12 0 3256 2-6 32 56 0 32 56 /2-1) 2+1 zn) /2+D

/77912 1073 2)12074 ),771992. 1-10732+1-12079 viad niumevalordenominato by 7 12 0.32 s b 2.0.3251 1171 1912a 117719 ),77 I 9122 li107SZ 、1,12079 )772 72 :7192 2 H02) 0 1IS 8152 y/z) d fz) 72 x) bsyIn /n-2)