5:2 Find the 2-transform of the sequence x(n)=-duc-m-1) and draw Zero - pole diagram with identification of ROC.
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- Find the Discrete Fourier transform of the three-point sequence { 2, 6, 20 }Please can you solve it fast 18) What are the 4-point Discrete Fourier Transform (DFT) coefficients of the sequence below? x [n] = δ [n] + δ [n-2] + δ [n-3](0,π) Continue the f(x) function as an even or odd function and decompose it into a Fourier series. Continue to draw a graph.
- There is one male baby seal for every nine female baby seals. Let X be the number of male baby seals in a group of five. What is the moment generating function of X?An example of: Σ(an/bn) may diverge even though Σan and Σbn converge (show each step please)?8.8.8. Use a known Taylor series to conjecture the value of the limit.
- Let sequence (tn) = (1 , 0 , - 1 , 0 ,1 , 0 ,-1 ....) What is the lim sup (tn) , and lim inf (tn) ?Suppose that the sn satisfies both limn→∞s2n = -1 and limn→∞s2n+1 = -1. (That is, the sequence given by the even terms of sn and that given by the odd terms of sn both converge to -1.) Show that also limn→∞sn = -1.For the given function defined on the interval(0, π), find1) expansion in Fourier series in real form by continuation of thefunction in odd and even way over total number axis;2) graphs for both ways of continuation.
- Suppose that F(u) denotes the DFT of the sequence of f(x)={1, 2, 3, 4}? What is the value of F(14)? (Hint: DFT periodicity)Find a closed form for the generating function for this sequence. 1, 0, 1, 0, 1, 0, 1, 0, ...Let the sequence (n) be recursively defined by x1 = √2 and Xn+1 = √√2+xn, n≥ 1. Show that (n) converges and evaluate its limit. Please be specific during the induction step so i can understand,