Signal Processing: Up and Down Sampling

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SUMMARY

Upsampling and downsampling do not affect the amplitude of the sampled signals. The amplitude remains constant at 1, regardless of the upsampling factor (L) or downsampling factor (M). The discussion clarifies that increasing or decreasing the sampling frequency does not alter the amplitude of the samples, as the amplitude is determined solely by the sampled values x(nT). This is a crucial aspect of signal processing related to the Nyquist rate.

PREREQUISITES
  • Understanding of signal sampling theory
  • Familiarity with Nyquist rate concepts
  • Knowledge of upsampling and downsampling techniques
  • Basic principles of signal amplitude
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  • Research the implications of Nyquist rate on signal processing
  • Explore the mathematical foundations of upsampling and downsampling
  • Learn about the effects of sampling frequency on signal integrity
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Students and professionals in electrical engineering, signal processing researchers, and anyone involved in digital audio or video processing who seeks to understand the effects of sampling techniques on signal amplitude.

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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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