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Design an analog lowpass filter that will satisfy the following specification
Typology: Exercises
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06 Task Performance Determine the required order, N
log √( 10 1 (^10) − 1 )/( 10 60 (^10) − 1 ) log (
Determine the 3dB Stopband Ωc Ωc =
R (^) S (^10) − 1 ) 1 2 N
( 2 π ) ( 10000 ) ( 10 60 (^10) − 1 ) 1 2 (− 1 ) Ωc = 62832 rad / sec Determine the -3dB Stopband Ωc Ωc =
R (^) S 10 − 1 ) 1 2 N
( 2 π ) ( 1000 ) ( 10 1 (^10) − 1 ) 1 2 (− 1 ) Ωc = 31972 rad / sec Therefore, 31972 ≤ Ωc ≤ 62832
Rs 10 − 1 10 R (^) p (^10) − 1
55 (^10) − 1 10 2 (^10) − 1
Ωs Ωp
2 π ( 7000 ) 2 π ( 2500 )
cosh − 1 ( F ) cosh−^1 ( Ωn ) ≥ ln ( F + (^) √ F 2 − 1 )
2 − 1 ) ≥ ln ( F + (^) √ F 2 − 1 )
2 − 1 ) ≥ ln (735.2940+√ 735. 2 − 1 ) ln( 3 +√( 3 ) 2 − 1 ) ≥ 4.
R (^) p (^10) − 1
2 (^10) − 1
r =sinh(
sinh
ε (^) p
sinh
1 2
1 2
μ (^) = ε −^1 + (^) √ 1 + ε −^2
