Discussion related to HW2 (ECE438BoutinFall09)

• You might want to review the following pages before doing the homework. Do you see any mistake/misleading statements in them? --Mboutin 09:24, 11 September 2009 (UTC)
  • Animated aliasing example
  • page on sampling theorem
  • another page on sampling theorem
  • another page on sampling theorem
  • page on sampling
  • page on impulse-train sampling
  • page on sampling with zero-order hold
  • another page on zero-order hold sampling
  • please list other relevant pages.

--Back to ECE438 (BoutinFall2009)

• for Question 1, I obtained the Fourier transform in terms of the general zeros and poles, and then replaced, say z1 by r1.exp(jw1), where r1 and w1 are constants.

Now, for an approximate plot, do I fix r1 and w1, as the values that correspond to the approximate location of the zero/pole or do I let them remain general. for example for (a) the location of the upper zero would be something like (0.6)exp(j(pi/3))),

--Dlamba

• For Question 1, is it ok to use MATLAB to compute magnitude of Fourier Transform? I am setting locations of zeroes and poles as a constant R1 * exp (j*phi), where R1 might be 0.33 and phi might be -pi/6 (as in 1a, second zero). And then I have a vector of omegas from 0 to 2*pi (all the way around unit circle), and then have "position" as 1*exp(j*omega). My vector of Fourier Transform magnitudes is then abs(position - z1) times the second zero, divided by the abs(position - p1), etc. But at any rate, are we supposed to be plotting magnitude of Fourier Transform over 0 to 2*pi radians? I think the directions are very unclear.

-- rscheidt