1 Time and Frequency Characterization of Signals & Systems ncy Domain Characterization through multiplication rm of input signal and system frequency response. fer Function). omain Characterization through convolution of inpu tem impulse response. ent to use frequency domain because easy operation ication as oppose to operation of convolution in ti
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Time and Frequency Characterization of Signals & Systems
Time and Frequency Characterization of Signals & Systems. Frequency Domain Characterization through multiplication of Fourier Transform of input signal and system frequency response. ( Transfer Function). Time Domain Characterization through convolution of input signal - PowerPoint PPT Presentation
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Time and Frequency Characterization of Signals & Systems
•Frequency Domain Characterization through multiplication of FourierTransform of input signal and system frequency response.( Transfer Function).
•Time Domain Characterization through convolution of input signal and system impulse response.
Convenient to use frequency domain because easy operation of Multiplication as oppose to operation of convolution in time domain.
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Magnitude and Phase Representation of Fourier Transforms
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jXj
eXPhase
eXMagnitude
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TransformFouriertimeDiscrete
jXPhase
jXMagnitude
ejXjX
TransformFouriertimeContinuous
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)(X je)(e H )X(e)Y(e jjj
)(X)(H)(Y jjj
Magnitude-Phase Representation of The Frequency Response of LTI Systems