Transcription of Topic 3 The -function & convolution. Impulse response ...
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Topic 3 The -function & convolution. Impulse response ...
Topic 3 The -function & response & Transfer functionIn this lecture we will described the mathematic operation of theconvolutionoftwo continuous functions. As the name suggests, two functions are blended orfolded will then discuss theimpulse responseof a system, and show how it is relatedto the transfer function of the though we will define a special function called the -function or unit is, like the Heaviside step functionu(t), a generalized function or distribution and is best defined by considering another function in conjunction with The -functionConsider a functiong(t) ={1/w0< t < w0otherwiseOne thing of note aboutg(t) is that w0 g(t)dt= lower limit 0 is a infinitesimally small amount less than zero.}
Impulse response & Transfer function In this lecture we will described the mathematic operation of the convolution of two continuous functions. As the name suggests, two functions are blended or folded together. We will then discuss the impulse response of a system, and show how it is related to the transfer function of the system.
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