Howtosignalprocessing
- What is the problem in impulse invariance method?
- What is the limitation of the impulse invariance method?
- What is the relation between analog and digital frequency in impulse invariance method?
- Why an impulse invariant transformation is not considered to be one to one?
What is the problem in impulse invariance method?
IIR filters that are designed using the impulse invariance method can suffer from aliasing problems because practical analog filters cannot be perfectly band-limited.
What is the limitation of the impulse invariance method?
The disadvantage of the impulse invariance method is the unavoidable frequency-domain aliasing.
What is the relation between analog and digital frequency in impulse invariance method?
denotes the sampling interval in seconds. Moreover, the order of the filter is preserved, and IIR analog filters map to IIR digital filters. However, the digital filter's frequency response is an aliased version of the analog filter's frequency response.
Why an impulse invariant transformation is not considered to be one to one?
In Impulse Invariance there is "many to one mapping" and hence aliasing takes place. while in Bilinear Transform there is "one to one mapping" and hence no aliasing.
