please do from 3 to 6
OBJECTIVES: The objective of this project is to estimate the density function of a recorded speech signal and its moments. BACKGROUND: Modeling speech signals has many applications in speech processing, coding, and enhancement. In this project, you will record your voice reading sentences for T seconds, estimate its distribution function and moments, then see the effect of additive noise. For the design of this project, implement the following tasks using MATLAB: 1. Plot the random amplitude samples of the speech signal, then numerically estimate the probabil- ity density function (pdf), fx(x), and cumulative distribution function (cdf), Fx(x), during voice activity and silence periods. 2. Identify the signal-to-noise ratio (SNR) level (in dB), and activity to silence ratio. 3. Suggest an analytical distribution, fy(y) and Fy(y), (pdf and cdf) that fits the numerical estimated densities in (a) with appropriate modified parameters, and plot them. 4. Find the moments mi, m2, and m3 and central moments H1, H2, and M3 for the random samples in part 1. 5. Derive the moments mi, m2 and central moment up for the pdf in part 3. Compare your answer with part 4. 6. Add an additive white Gaussian noise (AWGN) to your random samples in part 1, and comment on the effect of changing the noise variance on the resulting pdf. 7. Ask your team member to record the same sentences for T seconds and repeat parts 1-7 for his recording (comment on the differences/similarities). Finally, the report should include introduction/background, analysis, figures, discussion of the results, and conclusion. Include your code(s) in Appendix. The report is due on December 20, 2021. OBJECTIVES: The objective of this project is to estimate the density function of a recorded speech signal and its moments. BACKGROUND: Modeling speech signals has many applications in speech processing, coding, and enhancement. In this project, you will record your voice reading sentences for T seconds, estimate its distribution function and moments, then see the effect of additive noise. For the design of this project, implement the following tasks using MATLAB: 1. Plot the random amplitude samples of the speech signal, then numerically estimate the probabil- ity density function (pdf), fx(x), and cumulative distribution function (cdf), Fx(x), during voice activity and silence periods. 2. Identify the signal-to-noise ratio (SNR) level (in dB), and activity to silence ratio. 3. Suggest an analytical distribution, fy(y) and Fy(y), (pdf and cdf) that fits the numerical estimated densities in (a) with appropriate modified parameters, and plot them. 4. Find the moments mi, m2, and m3 and central moments H1, H2, and M3 for the random samples in part 1. 5. Derive the moments mi, m2 and central moment up for the pdf in part 3. Compare your answer with part 4. 6. Add an additive white Gaussian noise (AWGN) to your random samples in part 1, and comment on the effect of changing the noise variance on the resulting pdf. 7. Ask your team member to record the same sentences for T seconds and repeat parts 1-7 for his recording (comment on the differences/similarities). Finally, the report should include introduction/background, analysis, figures, discussion of the results, and conclusion. Include your code(s) in Appendix. The report is due on December 20, 2021
