Problem on linear convolution and circular convolution in dsp || EC Academy
This EC Academy lecture tackles a complex problem using the Decimation-in-Time (DIT) Fast Fourier Transform (FFT) algorithm, one of the most efficient methods for computing the Discrete Fourier Transform (DFT) in Digital Signal Processing (DSP). The DIT-FFT algorithm is crucial for significantly reducing the number of computations required compared to a direct DFT calculation. This video walks you through a complete, step-by-step solution for an N-point DIT-FFT problem, covering all butterfly diagram stages and twiddle factor calculations. You will learn: How to structure the input sequence for the DIT-FFT. The graphical representation and calculation at each stage of the butterfly diagram. The correct use of the twiddle factors $W_N^k$. How to read the final, bit-reversed DFT output. This is a vital exercise for students preparing for exams and seeking to master high-speed computation in DSP. 0:00 Introduction to the Problem and the DIT-FFT Method 1:00 Recalling the DIT-FFT Butterfly Diagram Structure 2:00 Setting up the input sequence (Bit-Reversal Process) 3:30 Detailed Calculation of Stage 1 5:30 Detailed Calculation of Stage 2 7:30 Final Stage and Determining the DFT Result 8:45 Summary of the DIT-FFT Solution #DITFFT #FastFourierTransform #FFTAlgorithm #DFTProblem #DigitalSignalProcessing #DSP #ECacademy #ButterflyDiagram #FFTSolutions #EngineeringTutorial Follow EC Academy on Facebook: / ahecacademy Twitter: / asif43hassan Wattsapp: https://wa.me/919113648762 YouTube: / ecacademy #Subscribe, Like and Share 👉 / ecacademy #Playlist 👇 #DigitalSignalProcessing👉 / playlist list=PLXOYj6DUOGrpVb7_cCB1pZuGH4BFlp61B #DigitalImageProcessing👉 / playlist list=PLXOYj6DUOGrrjyRKpD0U0bIKGOXCAOHkE #BasicElectronics👉 / playlist list=PLXOYj6DUOGrqjdqkWSZi4we3Q3oWCvmsW #DigitalElectronics👉 / playlist list=PLXOYj6DUOGroZA7mStdqXWQl3ZaKhyHbO #FlipFlops👉 https://www.youtube.com/playlist?list... xVBQjrEX #Opamp👉 • Playlist #ContolSystems👉 / playlist list=PLXOYj6DUOGrplEjDN2cd_7ZjSOCchZuC4 #SignalsAndSyatems👉 / playlist list=PLXOYj6DUOGrrAlYxrAu5U2tteJTrSe5Gt #DigitalCommunication👉 https://www.youtube.com/playlist?list... O76Jv2JVc7PsjM80RkeS
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Problem on circular convolution using DFT & IDFT in digital signal processing || EC Academy
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Perform Circular convolution : x1(n) = {2, 1, 2, 1} x2(n) = {1, 2, 3, 4}.
