6533b7d2fe1ef96bd125f834
RESEARCH PRODUCT
Splitting Magnitude Response into Real and Imaginary Parts
Aldis KalpinshVairis ShtraussUldis Lomanovskissubject
Pure mathematicsMellin transformFrequency responseMathematical analysis0211 other engineering and technologiesMonotonic function02 engineering and technologyImpulse (physics)020303 mechanical engineering & transports0203 mechanical engineeringlcsh:TA1-2040Bounded function021105 building & constructionlcsh:Engineering (General). Civil engineering (General)The ImaginaryMathematicsdescription
The determination of real and imaginary parts from magnitude responses is studied for causal linear time-invariant systems having monotonic impulse responses. It is demonstrated that the problem can be interpreted as a special filtering task in the Mellin transform domain having a diffuse magnitude response bounded by the magnitude responses of the filters corresponding to zero and maximum imaginary parts prescribed by the Kronig-Kramers relations. Discrete-time filters processing geometrically sampled magnitude responses are designed for determining the real and imaginary parts. Testing results are presented verifying the performance of the filters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | MATEC Web of Conferences |