Recent content by nacreous

  1. nacreous

    Can you calculate the inverse DTFT of i(d/dw)Y(eiw) in terms of y[n]?

    Homework Statement There is a signal y[n] with a differentiable DTFT Y(eiw). Find the inverse DTFT of i(d/dw)Y(eiw) in terms of y[n] (where of course i = √-1). Homework Equations Sifting property ∫eiwndw = 2π*δ[n] from [-π,π] (integral a) leads to ∫Y(eiwn)dw = 2π*y[n] from [-π,π] (integral b)...
  2. nacreous

    Calculate coefficients of expansion for vector y

    a) I thought that t would have to have a value of 0.5 if it was to be fully orthogonal with the other three v-vectors. But I suppose that defeats the purpose of being able to transform the vectors in the first place. The options I had for this problem were 0, 1, 2, and >2, so there would be more...
  3. nacreous

    Calculate coefficients of expansion for vector y

    Good point. I thought that t would have to have a value of 0.5 if it was to be fully orthogonal with the other three v-vectors. I suppose then that there would be more than two solutions (my options were 0, 1, 2, >2). Which makes solving for the variables in b easier as I have more vectors to...
  4. nacreous

    Calculate coefficients of expansion for vector y

    Homework Statement Let v(0) = [0.5 0.5 0.5 0.5]T, v(1) = [0.5 0.5 -0.5 -0.5]T, v(2) = [0.5 -0.5 0.5 -0.5]T, and z = [-0.5 0.5 0.5 1.5]T. a) How many v(3) can we find to make {v(0), v(1), v(2), v(3)} a fully orthogonal basis? b) What are z's coefficients of expansion αk in the basis found in...
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