Skip to main content
Signal Processing

Return to Question

edited tags
Link
Matt L.
Matt L.
  • 92.5k
  • 10
  • 81
  • 184
Reformatted the text a bit for better reading
Source Link
edit approved Jan 31, 2020 at 19:51
jomegaA
edit approved Jan 31, 2020 at 19:51
jomegaA
  • 669
  • 3
  • 16

I have a constant digital signal that is 1 for every sample and of length 4. 4 4 point DFT coefficients are $[4,0,0,0]^T$ obviously$$[4,0,0,0]^T$$ Obviously. I wonder, if I resample the DTFT such that samples are taken at $w=[\pi/4, 3\pi/4,5\pi/4,7\pi/4]^T $, if$$w=[\pi/4, 3\pi/4,5\pi/4,7\pi/4]^T $$ If I take the inverse dftDFT, can i find the same signal as before? If not, what is the effect of shifting the samples?

I have a constant digital signal that is 1 for every sample and of length 4. 4 point DFT coefficients are $[4,0,0,0]^T$ obviously. I wonder, if I resample the DTFT such that samples are taken at $w=[\pi/4, 3\pi/4,5\pi/4,7\pi/4]^T $, if I take the inverse dft, can i find the same signal as before? If not, what is the effect of shifting the samples?

I have a constant digital signal that is 1 for every sample and of length 4. 4 point DFT coefficients are $$[4,0,0,0]^T$$ Obviously. I wonder, if I resample the DTFT such that samples are taken at $$w=[\pi/4, 3\pi/4,5\pi/4,7\pi/4]^T $$ If I take the inverse DFT, can i find the same signal as before? If not, what is the effect of shifting the samples?

Source Link
strahd
strahd
  • 169
  • 1
  • 7

Resampling of DTFT

I have a constant digital signal that is 1 for every sample and of length 4. 4 point DFT coefficients are $[4,0,0,0]^T$ obviously. I wonder, if I resample the DTFT such that samples are taken at $w=[\pi/4, 3\pi/4,5\pi/4,7\pi/4]^T $, if I take the inverse dft, can i find the same signal as before? If not, what is the effect of shifting the samples?