DFT Solved Problem: Find Magnitude and Phase Spectrum Step-by-Step || EC Academy

Master the complete Discrete Fourier Transform (DFT) Problem, including the calculation of both the Magnitude Spectrum and the Phase Spectrum! This is a comprehensive, step-by-step tutorial designed to equip you with the skills to solve complex DFT numericals in Digital Signal Processing (DSP), essential for competitive exams like GATE and university coursework.

In this video, EC Academy walks you through solving a typical DFT problem from start to finish:

DFT Calculation: We first calculate the DFT of the given sequence, $X(k)$, using the fundamental formula.
Magnitude Spectrum: We then determine the Magnitude of the DFT, $|X(k)|$, which shows the strength of different frequency components.
Phase Spectrum: Finally, we calculate the Phase of the DFT, $\angle X(k)$, which indicates the shift or delay of the frequency components.
This full-circle problem-solving approach ensures you understand both the time-to-frequency transformation and the analysis of the resulting spectrum.

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00:00 - Introduction to the DFT, Magnitude, and Phase Spectrum Problem
01:05 - The Discrete Fourier Transform (DFT) Formula and N-Point
02:30 - Step-by-Step Calculation of the DFT sequence X(k)
05:15 - Introduction to the Magnitude Spectrum Formula
06:40 - Detailed Calculation of the Magnitude $|X(k)|$
09:30 - Introduction to the Phase Spectrum Formula
11:00 - Detailed Calculation of the Phase $\angle X(k)$
13:30 - Final Results Summary and Conclusion

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Видео DFT Solved Problem: Find Magnitude and Phase Spectrum Step-by-Step || EC Academy канала EC Academy