Tektronix AWG610 Manuel d'utilisateur télécharger pdf (Page 445)

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Appendix F: Miscellaneous

AWG610 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.

Ă() +

1

+

()( ) )

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

regarded as periodic during calculation. Below is an example showing differ-

ences 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.

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Tektronix AWG610 Manuel d'utilisateur Page 445

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