Ask Question, Ask an Expert


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.


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

For a uniform plane wave propagating in free space the

For a uniform plane wave propagating in free space, the apparent phase velocities along the x- and y-directions are found to be respectively. Find the direction of propagation of the wave.

1 what is the direction of the magnetic field for a uniform

1. What is the direction of the magnetic field for a uniform plane wave having its electric field in the positive z-direction and propagating in the positive x-direction? 2. What is intrinsic impedance? What is its value ...

For the following truth tablea give the dnf equation for

For the following truth table: a. Give the DNF equation for the table. b. Minimize the equation using a K-map. c. Show that the DNF is equivalent to the minimum representation using Boolean algebra.

Afirst-order ltic system has a characteristic root lambda

A first-order LTIC system has a characteristic root λ = -10 4 . a. Determine T r , the rise time of its unit step input response. b. Determine the bandwidth of this system. c. Determine the rate at which the information ...

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 ...

For a line charge of uniform density 10-3 cm situated along

For a line charge of uniform density 10 -3 C/m situated along the z-axis between (0, 0, -1) and (0, 0, 1), obtain the series expression for the electric potential at the point (0, y, 0) by dividing the line charge into 1 ...

1 what is meant by the dominant mode why are waveguides

1. What is meant by the dominant mode? Why are waveguides designed so that they propagate only the dominant mode? 2. Why is the dimension b of a rectangular waveguide generally chosen to be less than or equal to one-half ...

1 a synchronous alternator is supplying 09 pu power to the

(1) A synchronous alternator is supplying 0.9 p.u. power to the grid when a temporary three-phase short occurs on the interconnector. The power angle curves are:- Pre-fault = 2.0 sin(delta) During fault = 0.5 sin(delta) ...

1 when is it meaningful to attribute a group velocity to a

1. When is it meaningful to attribute a group velocity to a signal comprised of more than two frequencies? Why? 2. Discuss the propagation of a narrow-band amplitude modulated signal in a dispersive channel. 3. Discuss t ...

1 what are apparent wavelengths why are they longer than

1. What are apparent wavelengths? Why are they longer than the wavelength along the direction of propagation? 2. What are apparent phase velocities? Why are they greater than the phase velocity along the direction of pro ...

  • 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

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

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