Challenge10_Windows

Challenge10_Windows - Digital Signal Processing Dr. Fred J....

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Digital Signal Processing Dr. Fred J. Taylor, Professor Lesson Title: Windows Challenge Challenge: [10] Challenge Problem A rectangular pulse, given by: [ ] = otherwise k if k x 0 ] 10 , 0 [ 1 is to be analyzed using a 31-point DFT. The magnitude frequency response of the signal is studied using a 31-sample data record and the data record windowed using a 13-sample Blackman window. Any change out to 10% in the two spectra will be considered notable, and changes greater than 10% to be significant. Q: Predict the effect of windowing on peak to sideband gain, Response The signal being transformed, with or without windowing, is not periodic but the FFT will treat it as such. One would expect that since the points of symmetry of the 31-sample signal x[k] and window w[k] are so dissimilar, that the outcomes will be quit different significantly (different). Another way of looking at it, the signal non-zero samples are clustered about the initial end- point of the 31-sample data record. The window coefficients are small (near-zero) over this
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Challenge10_Windows - Digital Signal Processing Dr. Fred J....

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