In the equation SQNR = 10 ⁡\(log_{10}\frac{P_x}{P_n}\), what are the expressions of Px and Pn?(a) \(P_x=\sigma^2=E[x^2 (n)] \,and\, P_n=\sigma_e^2=E[e_q^2 (n)]\)(b) \(P_x=\sigma^2=E[x^2 (n)] \,and\, P_n=\sigma_e^2=E[e_q^3 (n)]\)(c) \(P_x=\sigma^2=E[x^3 (n)] \,and\, P_n=\sigma_e^2=E[e_q^2 (n)]\)(d) None of the mentionedI had been asked this question during an online exam.This intriguing question comes from Analysis of Quantization Errors in chapter Discrete Time Systems Implementation of Digital Signal Processing

In the equation SQNR = 10 ⁡\(log_{10}\frac{P_x}{P_n}\), what are the

1.	In the equation SQNR = 10 ⁡\(log_{10}\frac{P_x}{P_n}\), what are the expressions of Px and Pn?(a) \(P_x=\sigma^2=E[x^2 (n)] \,and\, P_n=\sigma_e^2=E[e_q^2 (n)]\)(b) \(P_x=\sigma^2=E[x^2 (n)] \,and\, P_n=\sigma_e^2=E[e_q^3 (n)]\)(c) \(P_x=\sigma^2=E[x^3 (n)] \,and\, P_n=\sigma_e^2=E[e_q^2 (n)]\)(d) None of the mentionedI had been asked this question during an online exam.This intriguing question comes from Analysis of Quantization Errors in chapter Discrete Time Systems Implementation of Digital Signal Processing
Answer» The correct answer is (a) \(P_x=\sigma^2=E[x^2 (n)] \,and\, P_n=\sigma_e^2=E[e_q^2 (n)]\) Explanation: In the EQUATION SQNR = \(10 log_{10}⁡ \frac{P_x}{P_n}\), then the terms \(P_x=\sigma^2=E[x^2 (n)]\) and \(P_n=\sigma_e^2=E[e_q^2 (n)]\).

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