Produce a discrete time series, Engineering Mathematics

Assignment Help:

Produce a discrete time series y(ti) by super positioning 5 cosinusoidal components,

419_Produce a discrete time series.png

for your own choice of the amplitudes (aj) and frequencies (fj).

Add some Gaussian noise to each digitised value. Experiment with amplitudes (including that of the noise term), and frequencies, showing results graphically. Then smooth your noisy time series with at least two different filters, e.g., a simple moving average smoother and an order two binomial filter.

1181_Produce a discrete time series1.png

Discuss the relative performance of the smoothers. You should consider quantifiable parameters such as; variance, r.m.s. deviations from the noise-free time series, and signal attenuation. Comment on the validity of the expression below, for your chosen smoother.

1725_Produce a discrete time series2.png


Related Discussions:- Produce a discrete time series

Two distinct case, A) Prove the following theorem by considering two distin...

A) Prove the following theorem by considering two distinct cases. For any integer n, n 2 + n is even. B)  If x = r 2  - s 2 and y = 2rs for any integers r and s, then x 2 +

Linear programming applications to industry, I need a research paper. The c...

I need a research paper. The concept is to develop a new linear programming was not introduced in the art literature before then apply the LP to spcific industry

Chemistry, advantages of langmuir adsorption theory

advantages of langmuir adsorption theory

Lagrangian coef?cient polynomials, Prove that the Lagrangian coef?cient pol...

Prove that the Lagrangian coef?cient polynomials for p n (x) satisfy ∑ n k=0 l k (x) = 1. Hint: It is only a 3-line proof. Consider the interpolating polynomial for a constan

Fuel tank, in the diagram shown below, the fuel tank which is of uniform cr...

in the diagram shown below, the fuel tank which is of uniform cross section and of length 8m is position so that the rear of the tank is 19 metres from the datum. the mass of the f

Numerical analysis, The system has a solution near (-0.5,-0.7). Set...

The system has a solution near (-0.5,-0.7). Set up the matrix equation Jδ = -f for Newton's method and then carry out one iteration, starting with x 0 = -0.5, y 0 = -0.7.

Power of iota, if the power of iota is even then what is the logic to break...

if the power of iota is even then what is the logic to break the power of iota

Calculus, Ask questioA mass on a spring vibrates. Its position at time t fr...

Ask questioA mass on a spring vibrates. Its position at time t from its starting point is x(t) = 2 cos(t) e t Find the velocity and acceleration at time t. What is the behavior of

Find the controllability matrix, An open-loop control system has the follow...

An open-loop control system has the following state-space model: (a) Find characteristic equation of the open-loop control system model. (b) What is the characteristic e

Test for the existence of regression, (i) Test for the existence of regress...

(i) Test for the existence of regression (the F-test). Carefully de ne the null and alternative hypothesis, and explain the result of any R output you obtain. (ii) Which of the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd