Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Electrical & Electronics Expert

problem1: Consider the noise cancellation system described below. The useful signal is a sinusoid s(n) = cos (wo n + Φ), wo = Π/12 where the phase Φ is a random variable uniformly distributed from 0 to 2 Π. The noise signals are given by:

891_noise signals.jpg

Where the sequence w(n) is WGN(0,1).

a) Design an optimum filter of order M and select a reasonable value M0 for M by plotting the MMSE as a function of M.

b) Design an LMS filter with M0 coefficients and choose the step size μ to achieve a 10% miss adjustment.

c) Plot the signals s(n), s(n)+v1(n), v2(n), the clean signal e0(n) by using the optimum filter, and the clean signal elms(n) using the LMS filter and comment on the obtained results.

d) Re-solve the above noise cancellation problem by using the RLS and comment on the differences between RLS and LMS in terms of speed of convergence and excess error.

1884_noise cancellation.jpg

problem 2: Consider the process x(n) generated by using AR(1) model x(n) = - 0.729 x (n - 1) + w(n); where w(n) is WGN(0,1).
We want to design a linear predictor of x(n) using the Steepest Descent Algorithm (SDA). Let

126_steepest descent algorithm.jpg

a) Find out the 3x3 autocorrelation matrix R of x(n) and compute its Eigen values.

{λi}3i-1

b) Find out the 3x1 cross correlation vector d.

c) Choose the step size μ so that the resulting response is over damped. Now implement the SD

1476_over damped.jpg

d) Repeat part (c) by choosing μ so that the response is under damped.

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M9485

Have any Question? 


Related Questions in Electrical & Electronics

When the potential energy of is given derive the

When the potential energy of is given, derive the variational equation using the principle of minimum potential energy. Problem :- Derive the weak form of a simply supported beam problem.

What should be the spacing and the relative phase angle of

What should be the spacing and the relative phase angle of the current densities for an array of two infinite, plane, parallel current sheets of uniform densities, equal in magnitude, to confine their radiation to the re ...

Referring to the figure assume the flow to be frictionless

Referring to the figure, assume the flow to be frictionless in the siphon. Find the rate of discharge in cubic feet per second, and the pressure head at B if the pipe has a uniform diameter of 1 in. How long will it take ...

A rectangular plastic specimen of size 100 x 100 x 10

A rectangular plastic specimen of size 100 X 100 X 10 mm 3  is placed in a rectangular metal cavity. The dimensions of the cavity are 101 X 101 X 9 mm 3 . The plastic is compressed by a rigid punch until it is completely ...

1 in transform coding show that a receiver that receives an

1. In transform coding, show that a receiver that receives an M matrix can create the original p matrix. 2. Calculate the T matrix for DCT when N = 1, N = 2, N = 4, and N = 8. 3. Using one-dimensional DCT encoding, calcu ...

1 state the relationship between polarization current

1. State the relationship between polarization current density and electric field intensity. How is it taken into account in Maxwell's equations? 2. What is the revised definition of D? 3. State the relationship between ...

Write the expression for the electric field intensity of a

Write the expression for the electric field intensity of a sinusoidally time-varying uniform plane wave propagating in free space and having the following characteristics: (a) (b) direction of propagation is the -directi ...

For a system specified by the transfer functionwrite sets

For a system specified by the transfer function write sets of state equations for DFII and its transpose, cascade, and parallel forms. Also write the corresponding output equations.

A sinusoid cosomega0t is a bandpass signal with zero

A sinusoid cos(ω0t) is a bandpass signal with zero bandwidth. This implies that the sampling rate that will allow reconstruction of this signal from its samples can be arbitrarily small. Show that this is indeed the case ...

1 discuss with the aid of an example the discharging of an

1. Discuss with the aid of an example the discharging of an initially charged line into a resistor. 2. Discuss the bounce-diagram technique of transient analysis of a line with uniform initial voltage and current distrib ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen