EDIT Menu

Convolution Waveform Editor (Option 09)

On instruments with Option 09 installed, high-speed convolution and correlation can be performed for up to 32,000 words of waveform data in existing waveform files (those bearing the extender .WFM).

The number of points in the waveform after calculation will be the sum of the point sizes of the two selected waveform files. The calculated amplitude will be normalized.

NOTE. The calculated result of waveforms consisting of P number of points and N number of points will be P+N±1. For the sake of convenience, however, on this instrument a final value of 0.0 is added , so the result is P+N.

On discrete systems, the convolution y(n) of waveform x(n) and waveform h(i) is expressed by the following formula. Here N is the number of data items. The operation expressed by this formula is called convolution.

N±1

y(n) + ￿x(i)h(n±i)

i+0

Alternately, the correlation y(n) of waveform x(n) and waveform h(i) is expressed by the following formula. Here N is the number of data items. The only difference between this equation and the one expressing convolution above is the minus sign in the parentheses, so with left-right symmetrical waveforms the results will be identical.

Entering the Convolution Waveform Editor

N±1

y(n) + ￿x(i)h(n ) i)

i+0

In this editor, you select an existing waveform file and perform either convolution or correlation and then create a new file. Use the following procedure to open the editor:

1.Press the EDIT button in the MENU column. The initial EDIT menu will appear.

2.Select More from the side menu to display the third page of the side menu: More 3 of 3.

3.Select Convolve Waveform from the side menu. The convolution waveform editor screen will appear.

AWG2021 User Manual

3 ￿189