Signal Processing: Up and Down Sampling

AI Thread Summary
Upsampling and downsampling refer to increasing or decreasing the sampling frequency of a signal, which does not affect the amplitude of the samples. The amplitude of the signal remains determined by the sampled values, specifically x(nT), regardless of the upsampling factor (L) or downsampling factor (M). The discussion clarifies that the amplitude does not need to be divided or multiplied by these factors. Additionally, the relationship to the Nyquist rate is acknowledged, emphasizing that sampling frequency adjustments do not alter amplitude. Overall, the key takeaway is that amplitude remains constant during the upsampling and downsampling process.
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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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