ecen4763.notes.3

ecen4763.notes.3 - 8/21/2009 ECEN 4763: Introduction to...

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8/21/2009 1 ECEN 4763: Introduction to Digital Signal Processing Fall 2009 Lecture 3: Friday, August 21, 2009 Course Progression Difficulty Review Time
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8/21/2009 2 Course Progression CT Fourier stuf Difficulty CT Fourier stuff Time Review of CT Fourier 1. Overview 2. Continuous-time Fourier series 3. Continuous-time Fourier transform
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8/21/2009 3 Review of CT Fourier 1. Overview 2. Continuous-time Fourier series 3. Continuous-time Fourier transform Frequency Analysis (and Synthesis) • Decompose a signal into its frequency components (or spectrum ) • Also called spectral analysis
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8/21/2009 4 Frequency Analysis (and Synthesis) • Can also reconstruct or “synthesize” a signal from its spectral components What is frequency?
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8/21/2009 5 CT Frequency Notation For periodic For periodic signals Sines and cosines x )= cos ( t ) = cos( t ) T = 2 π sec. 0 = 1 rad/s f 0 = 1/(2 π ) Hz
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8/21/2009 6 Sines and cosines x )= cos α ( t ) = cos( t ) T = 2 π / α sec.
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ecen4763.notes.3 - 8/21/2009 ECEN 4763: Introduction to...

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