- #1
beyondlight
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With bilinear transform (s=z-1/z+1) determine the differential equation for a 1st order discrete HP filter fith samplingfrequency f_s=150 Hz and lower cutoff frequency f_c=50 Hz. Also set the passpandgain to 1.
This is how i did:
Discrete variable: Ω=2π/3
Equivalent cuttof frequency for analog filter: ω_a=sqrt(3)
Analog HP-filter transfer function: H(s)=(s/s+ω_a)
Then use the bilinear transform om H(s).
how do i get passbandgain = 1?
If they mean H(z)=H(1)=1 by that, then H(z)=0, so that can't be right.
Because my answer didnt seem correct. Help please. :D
This is how i did:
Discrete variable: Ω=2π/3
Equivalent cuttof frequency for analog filter: ω_a=sqrt(3)
Analog HP-filter transfer function: H(s)=(s/s+ω_a)
Then use the bilinear transform om H(s).
how do i get passbandgain = 1?
If they mean H(z)=H(1)=1 by that, then H(z)=0, so that can't be right.
Because my answer didnt seem correct. Help please. :D