Please explain how to convert the s-domain poles to z-domain poles listed below. The book says “usin

Please explain how to convert the s-domain poles to z-domain poles listed below. The book says “using bilinear transform” [where s=(z-1)/(z=1)] but I don’t know how that would work here. No need to explain the rest of the question. Thanks Q18 Determine the order and poles of a digital Butterworth filters f.-8kHz ,2 1200/8000 0.3 0.45m tan(,/2)- 0.5095, , = tan(N,/2) = 0.854 0.794 G= .001 log(2.5 10 log(0.356) Thus M 0.854 Thus 0.5549radians. 999 The s domain poles can be written as s, re.There are a total of 16 poles with angular separation between 2 poles 2/16. The first pole is at an angle /16, second pole at 3t/16 and so on and the last pole at 31/16, The left halfs plane poles s5 to s12 are chosen for stability Please explain how to convert s-domain poles to z-domain poles listed below. I think using bilinear transform s5 0.1082-0.5442i z5 0.4539 +0.7140 s6-0.3082-0.4613i z6-0.3596+0.4794 s7-0.4613-0.3082i z7-0.3102+0.2764 s8-0.5442-0.1082i z8 0.28880+ 0.09034i s9 0.5442 +0.1082i z9-0.28880- 0.09034i z10 0.3102-0.2764i s10 0.4613+0.3082 sl-0.3082+0.4613i zll0.3596-0.4794i s12 0.1082 0.5442i z12-0.4539-0.7140

 

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