Tektronix AWG710B Instrukcja Użytkownika Pobierz pdf (Strona 555)

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Appendix F: Miscellaneous

AWG710&AWG710B Arbitrary Waveform Generator User Manual F-5

Correlation

The operation expressed by the following equation is called correlation. With

respect to a discrete system, correlation y(n) of a certain waveform x(n) and a

second one h(i) is expressed by the following equation. N is the number of items of

data.

Periodic. Periodic enables you to specify whether the two–waveforms must be

regarded as periodic during calculation. Below is an example showing differences

between nonperiodic and periodic waveforms.

Waveform A = a0, a1, a2, a3, a4 (5 points)

Waveform B = b0, b1, b2 (3 points)

For nonperiodic case:

<A,B> = a0b2,

a0b1+a1b2,

a0b0+a1b1+a2b2,

a1b0+a2b1+a3b2,

a2b0+a3b1+a4b2,

a3b0+a4b1,

a4b0,

0, (8 points)

The data length of the waveform created is the total of the number of points of the

two–waveform files.

For periodic case:

<A,B> = a0b0+a1b1+a2b2,

a1b0+a2b1+a3b2,

a2b0+a3b1+a4b2,

a3b0+a4b1+a0b2,

a4b0+a0b1+a1b2,

(5 points)

Waveforms A and B are regarded as periodic during calculation. The count of the

operation of the sum of the products is equivalent to the length of the shorter

waveform. The resulting waveform’s cycle equals the same as the longer

waveform. The actually output segment of the waveform corresponds to one cycle.

The starting point value of the waveform equals the sum of products that is

obtained with the starting point values of waveforms A and B added.

n() xi()hn 1+()

l 0=

N 1–

∑

1 2 ... 550 551 552 553 554 555 556 557 558 559 560 ... 579 580

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