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Find the value of $x(n) = cos(0.25 \pi n)$ for n=0, 1, 2, 3. Compute the DFT of x(n) using FFT flow graph.

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4.5kviews

Find the value of $x(n) = cos(0.25 \pi n)$ for n=0, 1, 2, 3. Compute the DFT of x(n) using FFT flow graph.

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written 7.3 years ago by |

n | $\pi$ | $\cos \pi$ |
---|---|---|

0 | 0 | 1 |

1 | $\dfrac{\pi}{4}$ | $\dfrac{1}{\sqrt2}$ |

2 | $\dfrac {\pi}{2}$ | 0 |

+3 | $\dfrac{3\pi}{4}$ | $\dfrac{1}{\sqrt2}$ |

**Result: X(k)={1, 1-√2 j, 1, 1+√2 j}**

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