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FourierIntro_06

# FourierIntro_06 - ECE 101 Signals and Systems Spring 2006...

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ECE 101 Signals and Systems Spring 2006 Fourier Analysis Requirements for Fourier Analysis: 1. Understand the essence of Fourier Analysis (what? why? how?) 2. Memorize the definitions (Fourier Series for continuous/discrete time signals, Fourier transform for continuous/discrete time signals) 3. Understand the useful properties (linearity, time shifting, time reversal,differentiation, integration, amplitude shifting) 4. Be able to transform signals from the time domain to the frequency domain and vice versa (using definitions and properties). Understanding Fourier Analysis What is Fourier Analysis about? Representing and analyzing signals and systems in the frequency domain . Time- domain presentation and frequency-domain presentation are like two sides of a coin: they are about the same thing but revealing different views. Two technical parts: Fourier Series and Fourier Transform . Fourier series are applicable only to periodic signals (or signals have a finite time interval). It is found that a periodic continuous-time (respectively discrete-time)

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FourierIntro_06 - ECE 101 Signals and Systems Spring 2006...

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