mplement a second-order low-pass filter using the finite dif, Computer Engineering

Assignment Help:
you will implement a second-order low-pass filter using the finite difference method. The finite difference method is a useful mathematical method that is used to numerically solve differential equations. Numerical techniques become very handy when there is no analytical solution for a given equation. In the finite difference method, all continuous signals are discretized as

Here, is the time step and N is the total number of time steps. is just a convenient way to express V at time step . Another approximation used in the finite difference method is the discretization of derivatives. Derivatives are approximated by finite differences of discrete signals:
.
The differential equation for the second-order low-pass filter is given by

where is the cutoff frequency. For the MP, we will consider an input signal given by . You can play with other input signals later. In the test input files, we set the frequencies so that . Our goal is to numerically solve the above differential equation and find the approximate solution to . Using the finite difference method, the differential equation is discretized as follows.

This is the time-stepping equation that you have to evaluate for this MP. For every time step n, you use the values of the input and output signals at step n or before to calculate the output signal at time step n+1. You may assume that .
Once you implement this, you need to output your calculated values of in the following format:
printf("%lf\n", variable_name);
Here, variable_name corresponds to

Related Discussions:- mplement a second-order low-pass filter using the finite dif

Differentiate between intranet and internet, Differentiate between intranet...

Differentiate between intranet and internet Some comparisons between intranet and internet include: -  INTERNET is INTERnational NETwork -  An INTRANET is INTernal Restri

What is status control and registers, Q. What is Status Control and Registe...

Q. What is Status Control and Registers? Status Control and Registers: These registers can't be used by programmers though are used to control CPU or execution of a program.

Define router, A router is used to Distributes information among networ...

A router is used to Distributes information among networks.

Data bus is bidirectional, Why address bus is unidirectional and data bus i...

Why address bus is unidirectional and data bus is bidirectional? Ans) Because there is no require address transaction among processor and peripheral device but data bus is req

What is the role of certifying authority, What is the Role of Certifying Au...

What is the Role of Certifying Authority? A certificate authority is a body, that is either public or private, that seeks to fill the requirement for trusted third-party servic

Prove the equations using the boolean algebraic theorems, Prove the equatio...

Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ? Ans. The equation is A + A‾.B + A.B‾ = A + B L.H.S. = A + A‾ .B + A.B‾ = (A + A.B‾) + A‾.B

Universal serial bus - computer architecture, Universal Serial Bus - comput...

Universal Serial Bus - computer architecture: USB   Universal Serial Bus   Speed Low-speed(1.5 Mb/s) High-speed(480 Mb/s) Full-speed(12 Mb/s)   De

Code Solution, Dear sir, I want to read Excel file and display it in grid v...

Dear sir, I want to read Excel file and display it in grid view(the headings in excel file should be grid view column heading).This should be coded in C# Windows forms Application

What is turnaround time, What is turnaround time? Turnaround time is th...

What is turnaround time? Turnaround time is the interval from the time of submission to the time of completion of a process. It is the sum of the periods spent waiting to get i

The files in tif format, Image Capturing Download the following grey lev...

Image Capturing Download the following grey level 512x512 standard images in TIF format: a-Lena       b-Baboon     c-Bridge       d-Airfield Use Matlab to decrease the siz

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