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The main points | 2/11 Session Links |
In this session we saw that array arithmetic and matrix arithmetic are very helpful when we’re performing analysis and synthesis computations. In the next session’s homework, we’ll build on this capability by looking at a situation that involves not only analysis and synthesis, but also cushioning and quantization, two of the three topics for next time.
Last Modified: Wednesday, 27-Apr-2016 04:15:26 EDT
For many of you, matrix multiplication and array arithmetic are new ideas. It’s easy to get lost in the details of how they work and then forget about why we use them.
To keep a clear view of the forest and avoid focusing only on the trees, remember why we use matrix multiplication and array arithmetic. Briefly, we use them because we find that it’s very often helpful to decompose a problem into parts (analysis), then do calculations on the parts, and finally reassemble the final solution from the results of those partial calculations (synthesis).
Matrix multiplication and array arithmetic provide us with very convenient methods for performing those intermediate calculations on the parts. They’re the tools that make analysis and synthesis so powerful.