Chapter 2 linear time invariant systems LTI

Page 1 <img data-url='document/chapter-2-linear-time-invariant-systems-lti.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: Chapter 2 linear time invariant systems LTI' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022061509/56813ae0550346895da32f0b/html5/thumbnails/1.jpg' width='140' height='200' /> Chapter 2linear time invariant systems

LTIPrepared by

Dr. Taha MAhdy

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Page 3 <img data-url='document/chapter-2-linear-time-invariant-systems-lti.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: Chapter 2 linear time invariant systems LTI' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022061509/56813ae0550346895da32f0b/html5/thumbnails/3.jpg' width='140' height='200' /> Impulse Response of an LTI

The impulse response of a system can be used to determine the response of the system to any arbitrary input.

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Time invariant system h(t- tau)

Page 5 <img data-url='document/chapter-2-linear-time-invariant-systems-lti.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: Chapter 2 linear time invariant systems LTI' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022061509/56813ae0550346895da32f0b/html5/thumbnails/5.jpg' width='140' height='200' /> So, the input-output relationship is determined by the formula

Which is called Convolution

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Chapter 2 linear time invariant systems LTI

Documents

arbitrary input

inputoutput relationship