Example 8.24: Find 4-point DFT of the following sequences (i) $x(n) = \{1, -2, 3, 4\}$ (ii) $x(n) = \sin\frac{n\pi}{2}$
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Convert the sequence (ixn) to a frequency domain. Show more…
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Find the N-point DFT of the following sequences x[n] a) x(n) = 8^n b) x(n) = u(n) - u(n - N) c) x(n) = cos(2n) for n = 0, 1, 2, 3 d) x(n) = 4 for n = 0, 1, 2, 3 a) and b) 2 marks each c) and d) 3 marks each Hint: 1. For a) and b), use the DFT definition. 2. For c) and d), use the geometric sum and cosine formulas given below: - Geometric sum - Cosine formula
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