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What is the variance of the difference between two successive signal samples, d(n) = x(n)–ax(n-1)?(a) \(σ_d^2=2σ_x^2 [1-a^2]\)(b) \(σ_d^2=σ_x^2 [1+a^2]\)(c) \(σ_d^2=σ_x^2 [1-a^2]\)(d) \(σ_d^2=2σ_x^2 [1+a^2]\)The question was posed to me during an online interview.Enquiry is from Oversampling A/D Converters in chapter Sampling and Reconstruction of Signals of Digital Signal Processing

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