Problem to find 8-point DFT using matrix method or Linear Transformation method || EC Academy скачать в хорошем качестве

Problem to find 8-point DFT using matrix method or Linear Transformation method || EC Academy

n this detailed EC Academy tutorial, we tackle the numerical computation of an 8-point Discrete Fourier Transform (DFT) using the Matrix Method, also known as the Linear Transformation method. This powerful technique is a cornerstone of Digital Signal Processing (DSP) for students and professionals. We walk you through the entire problem-solving process, including: Setting up the DFT matrix equation, X = W * x, for an N=8 point sequence. Determining and simplifying the values of the Twiddle Factor, W_8. Constructing the 8x8 DFT matrix. Executing the matrix multiplication step-by-step to arrive at the final frequency-domain sequence, X(k). Master this method to confidently solve higher-order DFT problems! Topics Covered with Timestamps: 0:00 Introduction and Problem Statement (8-point DFT) 0:20 Recalling the DFT Matrix Equation (X = W * x) 0:55 Defining the Twiddle Factor W_8 1:30 Setting up the 8x8 DFT Matrix (General Form) 2:45 Calculating the Twiddle Factor Values (W_8^k) 4:10 Substituting Simplified Twiddle Factors into the DFT Matrix 5:30 The Matrix Multiplication Setup 6:00 Step-by-step Calculation for X(0) 7:00 Continuing Calculations for Other X(k) elements 7:55 Final Result of the 8-point DFT Sequence #DFTProblem #8PointDFT #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