Fichas
Lecture 4
Fichas del conjunto (13)
- 1SISOsingle input single output system (can be C-T or D-T)
- 2Causal SystemThe future input of the system cannot impact the current output. A causal system cannot have a nonzero output until a nonzero input is applied
- 3y[n] = {x[n+1] + x[n] + x[n-1]}/3Non-causal average
- 4When to use non-causal average?When looking at the times of peaks in data
- 5y[n] = {x[n] + x[n-1] + x[n-2]}/3Causal average
- 6When to use causal average?When looking at the times when nonzero values in the data begin
- 7x1(t) --> y1(t) x2(t) --> y2(t) x(t) = a1x1(t) +a2x2(t) --> y(t) = a1y1(t) +a2y2(t)A linear system - scaling and additivity always hold
- 8Why is scaling a useful property?1) System can handle an input of any amplitude without distortion
2) The relative amplitudes of input signals are preserved in the outputs
3) The amplitude of the input can be determined from the output signals if the scaling factor is known - 9Why is additivity a useful property?1) Allows us to decompose complicated signals into a sum of simpler signals, which can be put through the system and summed at the end
2) A useful application of the Fourier and Laplace transforms to signals and systems - 10What is a time invariant system?A system whose properties do not change overtime. A time-shifted input will simply lead to an equally time-shifted output.
- 11Why is time invariance useful?It is useful because after the system is characterized once, we know how it will always behave from then onwards.
- 122 important cases of LTI systems1. Linear, constant-coefficient differential equations (C-T LTI)
2. Linear, constant-coefficient difference equations (D-T LTI) - 13If the present output of the system is only dependent on the present input, then the system is __________.Memoryless
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- Signals and Systems Fichas sobre Lecture 4 , creado por Joana Dilipkumar el 31/10/2020.
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- Joana Dilipkumar
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