EECS20N: Signals and Systems

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Week 10

• FS coefficients
• Negative freq.
• Transfer function
• Filtering
• Filtering sounds
• Filtering images
• Cascade
• Freq response
• Commutativity
• Feedback
• Freq response

Filtering

Linear time invariant systems have the property that if the input is described as a sum of sinusoids, then the output is a sum of sinusoids of the same frequency. Each sinusoidal component might be scaled differently, and each may be subjected to a phase change, but the output will not contain any sinusoidal components that are not also present in the input.

LTI systems are often used to remove sinusoidal components from a signal. For this reason, an LTI system is often called a filter.