Signal Processing: Up and Down Sampling

[coolrp]

Homework Statement

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

consider the following X(e^jw)

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.

 

[rude man]

What is "up" & "down" sampling? Do you mean oversampling and undersampling? With relation to Nyquist rate?

 

[coolrp]

up and down sampling means increasing or decreasing the sampling frequency!

 

[rude man]

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.