AnalysisAndTransmissionOfSignals_1

# AnalysisAndTransmissionOfSignals_1 - Chapter 3 Analysis and...

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1/27/2010 1 Chapter 3: Analysis and Transmission Of Signals Review of Fourier Transform Signal Transmission Through A Linear System Filters Signal Distortion The Energy Spectral Density and Power Spectral Density Signal Transmission Through A Linear System Impulse Response and Transfer Function LTI system can be characterized in the time domain by the impulse response . An even more powerful way of characterizing an LTI system is in the frequency domain through the use of the transfer function . ) ( ) ( )} ( { ) ( f X f Y t h f H F

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2 Magnitude and Phase Response The transfer function H(f) is a characteristic property of an LTI system We are interested in both the magnitude or ( amplitude ) response and the phase response If the impulse response is real, then the magnitude response is even and the phase response is odd ) ( ) ( | ) ( | | ) ( | f H f H f H f H  Signal Transmission Through A Linear System ) ( ) ( ) ( Spectrum Phase | ) ( || ) ( | | ) ( | Spectrum Magnitude f X f H f Y f X f H f Y Distortionless Transmission A system is distortionless of it only scales and delays the input signal. Flat magnitude and linear phase spectrum (or a constant scaling and a constant time delay) Distortionless=all pass filter + linear phase spectrum d ft j d d ke f H t
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## This note was uploaded on 08/13/2010 for the course EE EE 314 taught by Professor Zhang during the Winter '10 term at Cal Poly.

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AnalysisAndTransmissionOfSignals_1 - Chapter 3 Analysis and...

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