Problem to find 6-point DFT using matrix method or Linear Transformation method || EC Academy скачать в хорошем качестве

Problem to find 6-point DFT using matrix method or Linear Transformation method || EC Academy

This EC Academy lecture is a comprehensive guide to solving a 6-point Discrete Fourier Transform (DFT) problem using the powerful Matrix Method, also known as the Linear Transformation method. This video is an essential resource for students of Digital Signal Processing (DSP) who need to master the matrix formulation for DFT computation. We cover the entire process step-by-step: Setting up the DFT matrix equation, X = W * x, for an N=6 point sequence. Constructing the 6x6 DFT matrix using the Twiddle Factor, W_6. Calculating the required Twiddle Factor values (e.g., W_6^1, W_6^2, etc.). Performing the final matrix multiplication to obtain the frequency-domain sequence, X(k). Strengthen your understanding of DFT and matrix algebra applications in signal processing! Topics Covered with Timestamps: 0:00 Introduction and Problem Statement (6-point DFT) 0:23 Recalling the DFT Matrix Equation (X = W * x) 0:41 Setting up the 6x1 and 6x6 Matrices 1:09 Constructing the 6x6 DFT Matrix using Powers of W_6 4:25 Defining the Twiddle Factor W_N and Simplifying W_6^0 4:47 Listing all required Twiddle Factor powers for the matrix 5:31 Detailed Calculation for W_6^1 using Euler's formula 6:34 Simplified Values for Twiddle Factors W_6^2 to W_6^{25} 8:04 Substituting Twiddle Factor values into the 6x6 DFT Matrix 9:54 Final Matrix Multiplication with sequence x(n) 10:30 Step-by-step Calculation for X(0) and X(1) 11:30 Final Result for the 6-point DFT sequence, X(k) 12:50 Summary on the standard 6-point DFT matrix #DFTProblem #6PointDFT #DFTMatrix #DiscreteFourierTransform #DSP #DigitalSignalProcessing #ECacademy #Engineering #LinearTransformation #TwiddleFactor Follow EC Academy on Facebook:   / ahecacademy   Twitter:   / asif43hassan   Wattsapp: https://wa.me/919113648762 YouTube:    / ecacademy   #Subscribe, Like and Share 👉    / ecacademy   #Playlist 👇 #BasicElectronics 👉    • Basic Electronics | Complete Foundation Co...   #DigitalElectronics 👉    • Плейлист   #FlipFlops 👉    • Плейлист   #Opamp 👉    • Плейлист   #ContolSystems 👉    • Control Systems Tutorial Series | GATE & U...   #SignalsAndSyatems 👉    • Signals & Systems | Complete Lecture Serie...   #DigitalCommunication 👉    • Digital Communication