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lecture15

# lecture15 - EE313 Linear Systems and Signals Fall 2010...

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EE313 Linear Systems and Signals Fall 2010 Initial conversion of content to PowerPoint by Dr. Wade C. Schwartzkopf Prof. Brian L. Evans Dept. of Electrical and Computer Engineering The University of Texas at Austin Signal Energy

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15 - 2 Time/Frequency Domains Signal Time domain: waveform, signal duration, waveform decay, causality, periodicity Frequency domain: sinusoidal components, relative amplitudes and phases LTI system Impulse response: width indicates system time constant, a.k.a. response time, and amount of dispersion (spreading) Frequency response: bandwidth filter selectively transmits certain frequency components and
15 - 3 Time/Frequency Domains Time-Frequency Fourier transform gives a global average of the frequency content of a signal Does not indicate when Fourier components are present in time In speech and audio processing, it is important to know when certain frequencies occurred

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15 - 4 Signal Energy Instantaneous power: | f ( t )| 2 Complex signal: | f ( t )| 2 = f ( t ) f * ( t ) Real-valued signal: | f ( t )| 2 = f 2 ( t )
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