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Titlebook: Analog and Digital Signal Analysis; From Basics to Appli Frédéric Cohen Tenoudji Textbook 2016 Springer International Publishing Switzerlan

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楼主: 航天飞机
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Fourier Transform, this result as a start, we introduce naturally the notion of impulse response of an LTI system. The impulse response appears to be the inverse Fourier transform of the frequency response of the system. This leads to the general definition of the inverse and direct Fourier transforms. We examine in
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Impulse Response of LTI Systems, difficulty in the calculation of h(t) is that the function H(ω) is a complex function of ω in the general case. The integral cannot generally be evaluated simply by the methods of integration of real functions. The integration is then performed in the complex plane by integration over a closed cont
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Analog Filters,f low-pass filters. We consider first, three classical all-poles filters: Butterworth, Chebyshev, and Bessel. We discuss their performances with regard to the situation of the poles of their transfer functions in the Laplace plane. It appears that the Butterworth filter has the flattest frequency re
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,Causal Signals—Analytic Signals,tput of the filter cannot precede the signal that created it, in this case, the Dirac distribution which is zero for negative time. The effect cannot precede the cause. The physical system, which satisfies the principle of causality, is said to be causal. More generally, we will call causal any func
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