Abstract
Downsampling is the process of reducing the sampling rate of a discrete signal. This paper describes how sampled data system theory can be used to design an L2 or L∞ optimal downsampler which reduces the sampling rate by a positive integer factor from a given fast sampler. This paper also describes the effect of noise on the optimal downsampling.
| Original language | English |
|---|---|
| Pages (from-to) | 277-315 |
| Number of pages | 39 |
| Journal | Mathematics of control, signals and systems |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2015 |
Keywords
- 2024 OA procedure
- Linearity
- Sampling
- Shannon’s sampling theorem
- Time-shift invariance
- Causality
- System norms
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