0
586views
Determine the lowest order of Chebyshev filter that meets the following specifications: (i) 1 dB ripple in the passband 0|ω|0.3π

Determine the lowest order of Chebyshev filter that meets the following specifications:

(i) 1 dB ripple in the passband 0|ω|0.3π

(ii) Atleast 60 dB attenuation in the stopband 0.35π|ω|π Use the bilinear transformation.

1 Answer
0
44views

Solution:

Step 1 Bilinear transformation is to be used.

Step 2 Attenuation constant

ε=[1A211]12=[1(0.891)21]12=0.509

Step 3 Ratio of analog edge frequencies

Ω2Ω1=2Ttanω222Ttanω12=tan0.35π2tan0.3π2=1.2

Step 4 Order of the filter

Ncosh1[1ε(1A221)12]cosh1(Ω2Ω1)cosh1[10.509(10.00121)12]cosh1(1.2)13.33814

So the lowest order of the filter is N=14.

Please log in to add an answer.