Filter
Top Products
Appendix F: Miscellaneous
F-6 AWG710&AWG710B Arbitrary Waveform Generator User Manual
Unlike convolution, the result of A×B and B×A are different in correlation. B×A is
calculated as follows (B and A are those from the example on page F-5):
For nonperiodic case:
A×B = b0a4,
b0a3+b1a4,
b0a2+b1a3+b2a4,
b0a1+b1a2+b2a3,
b0a0+b1a1+b2a2,
b1a0+b2a1,
b2a0,
0, (8 points)
For periodic case:
A×B = b0a0+b1a1+b2a2,
b0a4+b1a0+b2a1,
b0a3+b1a4+b2a0,
b0a2+b1a3+b2a4,
b0a1+b1a2+b2a3,
(5 points)
Waveforms A and B are regarded as periodic during calculation. The count of the
operation of sum of products is equivalent to the length of the shorter waveform.
The resulting waveform’s cycle equals the same as the longer waveform. The actual
output segment of the waveform corresponds to one cycle. The starting point value
of the waveform equals the sum of the products that is obtained with the starting
point values of waveforms A and B added.