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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal Processing: Continuous and Discrete Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . n n 1 Massachusetts Institute of Technology Department of Mechanical Engineering 2.161 Signal Processing- Continuous and Discrete Fall Term 2008 Lecture 1 1 Reading: Class handout: The Dirac Delta and Unit-Step Functions Introduction to Signal Processing In this class we will primarily deal with processing time-based functions, but the methods will also be applicable to spatial functions, for example image processing. We will deal with (a) Signal processing of continuous waveforms f ( t ), using continuous LTI systems (filters). a L T I d y n a m i c a l s y s t e m i n p u t f ( t ) C o n P t i n r o u c o e u s s s o S r i g n a l o u t y p ( u t ) t and (b) Discrete-time (digital) signal processing of data sequences { f n } that might be samples of real continuous experimental data, such as recorded through an analog-digital converter (ADC), or implicitly discrete in nature. a L T I d i s c r e t e a l g o r i t h m i n p u t s e q u e n c e o u t p u t s e q u e n c e { f } D i s c r e t e S i g n a l { y } P r o c e s s o r Some typical applications that we look at will include (a) Data analysis, for example estimation of spectral characteristics, delay estimation in echolocation systems, extraction of signal statistics. (b) Signal enhancement. Suppose a waveform has been contaminated by additive noise, for example 60Hz interference from the ac supply in the laboratory. 1 copyright c D.Rowell 2008 11 n ( t ) R L V i n o + I s- +- C 1 F i l t e r f ( t ) y ( t ) i n p u t o u t p u t + + a d d i t i v e n o i s e The task is to design a filter that will minimize the effect of the interference while not destroying information from the experiment....
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lecture_01 - MIT OpenCourseWare http://ocw.mit.edu 2.161...

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