Howtosignalprocessing
- How is the analog frequency mapped to digital frequency in bilinear transformation?
- What is the relation between analog and digital frequency of BLT method?
- What are the analog to digital filter transformation techniques?
- What is bilinear transformation formula?
How is the analog frequency mapped to digital frequency in bilinear transformation?
In digital filtering, it is a standard method of mapping the s or analog plane into the z or digital plane. It transforms analog filters, designed using classical filter design techniques, into their discrete equivalents. H ( z ) = H ( s ) | s = 2 f s z − 1 z + 1 . ω = 2 tan − 1 ( Ω 2 f s ) .
What is the relation between analog and digital frequency of BLT method?
In BLT, the relation between the analog frequency (Ω) and corresponding digital frequency (Ω) is Ω=2Ttanω2 or ω=2tan−1ΩT2. As "Tan inverse" is a non-linear function, it causes nonlinear compression of the frequency axis.
What are the analog to digital filter transformation techniques?
The procedure consists of three main parts: first the state-space of the analog filter is computed based on diagram or netlist of the analog circuit, then a conversion from analog domain to digital domain is used. Finally the digital filter is delivered in system function form.
What is bilinear transformation formula?
Bilinear transformation mapping of s-plane into z-plane. In general, by letting and s = σ + jΩ in Equation (11.21), we obtain. (11.23)
