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json { "title": "DFT of Polynomial Product and Autocorrelation - GATE EC 2013 Signal Processing", "description": "Solve a GATE EC 2013 Digital Signal Processing problem: Find the Discrete Fourier Transform (DFT) of a sequence [p q r s] derived from the product of a polynomial A(x) = (a + bx + cx² + dx³) and A(x⁻¹) = (a + bx⁻¹ + cx⁻² + dx⁻³). This problem explores the relationship between polynomial multiplication, autocorrelation, and the power spectrum in the DFT domain, where the DFT of [a b c d] is [α β γ δ].", "keywords": "DFT, Discrete Fourier Transform, polynomial product, autocorrelation, power spectrum, signal processing, digital signal processing, GATE ECE, GATE 2013, GATE Electrical, GATE previous year questions, Fourier Transform properties, Z-transform, ec-gate-2013-set-4-question-34, examprev.com, engineering exam preparation" }

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