Unformatted text preview: When a system is applied to a harmonic signal, the result is the same harmonic signal multiplied by a complex constant that depends on the frequency. Generalized Harmonic Functions Transfer Functions H ( u ) is called the transfer function : how inputs transfer to outputs. Expressing H ( u ) in polar (magnitude-phase) form: H ( u ) = | H ( u ) | e i φ ( H ( u )) Recall that the magnitudes multiply and the phases add: H ( u ) e i 2 π ut = | H ( u ) | e i φ ( u ) e i 2 π ut = | H ( u ) | e i ( 2 π ut + φ ( u )) | H ( u ) | is the Modulation Transfer Function (MTF) φ ( H ( u )) is the Phase Transfer Function (PTF)...
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- Fall '09
- Image processing, Mathematical analysis, Inverse function, Leonhard Euler, Euler's formula