Signal Processing: Up and Down Sampling

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Discussion Overview

The discussion revolves around the effects of upsampling and downsampling on signal amplitude within the context of signal processing. Participants explore definitions, implications for sampling frequency, and the relationship between sampling and amplitude.

Discussion Character

  • Homework-related, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether upsampling and downsampling affect the amplitude of signals, specifically asking if the amplitude remains constant or is adjusted by the factors L (upsampling) and M (downsampling).
  • Another participant seeks clarification on the terms "up" and "down" sampling, suggesting a possible connection to oversampling and undersampling in relation to the Nyquist rate.
  • A third participant defines up and down sampling as the process of increasing or decreasing the sampling frequency.
  • A later reply asserts that changing the sampling frequency does not alter the amplitude of the samples, emphasizing that the amplitude is determined solely by the sampled values of the input signal.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between sampling frequency changes and amplitude effects, indicating that the discussion remains unresolved regarding the impact of upsampling and downsampling on amplitude.

Contextual Notes

Some assumptions about the definitions of upsampling and downsampling, as well as the context of amplitude measurement, are not fully clarified. The relationship to the Nyquist rate is also not explored in depth.

coolrp
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Homework Statement


Does the upsampling and downsampling have any effect on the amplitude?

consider the following X(e^jw)

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Homework Equations




what will be the amplitude of the signals? do they remain 1 or are they to be divided/multiplied by L/M, L being upsampling factor and M being downsampling factor?

Please Help.
 
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What is "up" & "down" sampling? Do you mean oversampling and undersampling? With relation to Nyquist rate?
 
up and down sampling means increasing or decreasing the sampling frequency!
 
ƩIncreasing or decreasing the sampling frequency for a given input signal x(t) does not change the amplitude opf the samples.

x(t) after sampling is Ʃx(nT)δ(t - nT) so x(nT) is the only thing that determines amplitude.
 

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