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Transformations between mark them

1) reflected impulsive Answer hp :

Draft of marks reflected them obtained in correspondence of the excitation with marks directed them equal to the ideal impulse of Dirac d(t).

 

2) physically realizable Bipolo:

A bipole is physically realizable if its reflected impulsive answer hp :

to)       it belongs to L1 that is is absolutely integrable

b)       he is real

c)       is null motive that is for t<0

 

3) ideally realizable Bipolo:

A bipole is ideally realizable if its impulsive answer reflected hp:

to)       it belongs to L1 that is is absolutely integrable

b)       he is real

c)       is not motive

4) Relation between the real part and the imaginary part of the transformed one r of the reflected impulsive answer hp :

that is the real part and the coefficient of the imaginary part are tied from the transformation of Hilbert in the dominion of the frequency.

 

5) Coefficient of reflection of passive bipole LTI:

Equal E' to the relationship between the transformed ones of Fourier of the reflected tension and the directed tension, is had:

 

6) Relations between the spectral density in a bipole for mark them of energy or power:

For it marks them of energy has e .

For it marks them of power has e .

 

7) ideal Adaptation and perfect adaptation:

In the case of ideal adaptation the reflected impulsive answer is identically null r(f) = 0 for every excitation x(t), instead perfect adaptation is had if this is true single in one band of frequencies comprised between one minimal frequency fm and one the maximum frequency fM .

 

8) impulsive Answers reflected and transmitted for a quadripolo:

Draft of the functions hij that they are present in the two transformations

in particular it is spoken about impulsive answers reflected if the = j while it is spoken about impulsive answers transmitted if the ¹ j.

 

9) physically realizable Quadripolo:

All its reflected impulsive answers are such that:

to)       they belong to L1 that is are absolutely integrabili

b)       they are real

c)       is motives

 

10) ideally realizable Quadripolo:

All its reflected impulsive answers are such that:

to)       they belong to L1 that is are absolutely integrabili

b)       they are real

 

11) Function of transfer of quadripolo the LTI:

In domio of the frequency the quadripolo it is characterized from the expressions that in the adaptation case are reduced to with r(f) = H11(f) = 0 " f ? (fm , fM).

 

12) Relations between the spectral density in a quadrupolo for mark them of energy or power:

For it marks them of energy has e .

For it marks them of power has e .

 

13) Function of equivalent transfer in band base:

it is used in the case of marks them in band traslata in place of the complex envelopes, in short comes brought back in band base transfer function that is found in the positive axle shaft of the frequencies.

 

14) Function of transfer of the ideal shunt:

The transformation carried out from the shunt is which the function of transfer "f corresponds which is not realizable in how much for f®¥ ha |HOf(f)|®¥ .

 

15) perfect Shunt:

" f ? (fm , fM)

in short the limitation of the band avoids that the impulsive answer is infinite and therefore not sommabile.

 

16) Function of transfer of the ideal integrator:

The transformation carried out from the integrator is which the transfer function corresponds

" f

which is not realizable in how much for f®0 is had |HII(f)|®¥ .

 

17) Function of transfer of the perfect integrator:

" | f | ³ fm

in short imposing that the minimal frequency is greater of 0 it succeeds to render the integrator realizable.

 

18) Function of transfer of quadripoli in cascade with adaptation:

 

19) Effect of not the linearity in the dominion of the time and the frequency:

In the dominion of the time a deformation of the course is had of marks them of called escape not linear distortion while in the dominion of the frequency a widening of the band of the answer regarding the band of the income is had.