Fichas
Dirac Delta
Fichas del conjunto (8)
- 1What is the Dirac delta function?The function is zero everywhere but x=0, where it is infinitely great ie. the limit pictured. As this limit it is considered to have area=1 under the curve.
- 2Describe the nature of this functionIt is the delta function shifted so that the peak happens at t=a.
- 3—= x(a)
This is the sifting property of the dirac delta function. - 4Does the integral need to go from -infty to infty for this result to hold true?No it just needs to contain t=a
- 5What is the fourier transform of the (a-shifted) DD function?(by the sifting property)
- 6If the impulse is centered at t=0 (ie. a=0) then the Fourier transform is equal to...
- 7Let sa(t) denote a signal s(t) that has been uniformly sampled every T seconds. How can we write this in terms of the DD function?(note that s(t)δ(t-nT)=0 except for nT=t)
- 8This function is undefined! How can it be useful?When taking the Fourier transform the integral preserves the weight s(t)=s(nT) accounted for in s_a(t).
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- PhD (Maths) Comms Fichas sobre Dirac Delta, creado por L H el 05/02/2018.
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- L H
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