Consider the two discrete time signals and graphed below and each sampled 8 times per second for .
![](https://wwrenderer.libretexts.org/webwork2_files/tmp/renderer//images/e86c3042-8a27-3240-87aa-d5cd33ce3f66___9d4c1196-6fe1-3ff1-8a1a-9d65da28c7c6.png) |
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![](https://wwrenderer.libretexts.org/webwork2_files/tmp/renderer//images/e86c3042-8a27-3240-87aa-d5cd33ce3f66___62eba1dd-28ca-396c-a0f7-43ab0d0f308b.png) |
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Graph of |
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Graph of |
- Find the coordinate vector representations for the discrete time signals and .
- Draw the vector sum as a discrete time signal. Then, verify your answer using vector addition operations.
- Draw the scaled vector as a discrete time signal. Then, verify your answer using vector addition operations.
- Find the vector sum when and .
- Find the additive inverse of .
You can earn partial credit on this problem.