Linear Filters
Part 5:
Summary
- In what
ways is a doubly-infinite sequence different from a singly
infinite sequence? In what ways are they the same?
- Explain how we can
use sequences to measure signals.
- Give an example of
two sequences that come from the same signal, but sampled at
different rates. How does the sampling rate affect our ability to
reconstruct the original signal?
- Explain in your
own words how we can regard a linear difference equation as a
linear filter. What behavior that you have seen is characteristic
of a linear filter?
- Describe how to
find the real solutions of a homogeneous linear difference
equation with complex characteristic roots. What properties of
complex numbers do we need to use in order to do this?
- How do we use the
real solutions of a homogeneous linear difference equation to
predict which signals will be filtered out by a linear filter?
- How do we use the
real solutions of a homogeneous linear difference equation to
predict which signals will be passed through unchanged by a linear
filter?
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