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

System for an online furniture shop, As an XML expert you are needed to mod...

As an XML expert you are needed to model a system for an online furniture shop. After an interview with the shop manager you have the certain information: The detail of th

Function of host to host transport layer in tcp/ip protocol, Illustrate the...

Illustrate the function of host to host transport layer in TCP/IP protocol stack? Function of Host - to-Host Transport Layer: This protocol layer just above inter network

Effect of tree supply on death rate, The effect of tree supply on death ra...

The effect of tree supply on death rate depends upon a ratio comparing the number of trees that are actually available per person per year to the desired number of trees per pers

Q. Features of read-only memory? ROMs are memories on which it's not possible to write data when they are on-line to computer. They can only be read. This is reason why it is k

Types of pipelines - computer architecture, Types of Pipelines: Instr...

Types of Pipelines: Instructional pipeline  It is used where different stages of an instruction fetch and execution take place in a pipeline. Arithmetic pipeline

Unix for multiprocessor system, The UNIX operating system for a multiproces...

The UNIX operating system for a multiprocessor system has a number of extra features as compared to normal UNIX operating system.  Let's first consider the design objectives of mul

Can we convert the column data into row data, We download data which arrive...

We download data which arrives to me in a column. I need to use it in a complex sheet that requires data in a row. How can we convert the column data into row data?   Ans) H

Calculate number of trunks for time multiplexed space switch, Calculate the...

Calculate the number of trunks that can be supported on a time multiplexed space switch given that, 32 channels are multiplexed in each stream, while the control memory access time

Difference among activity and sequence diagram, a. Activity diagram: Activi...

a. Activity diagram: Activity diagram is used for functional modelling. Captures the process flow. b.  Sequence diagram :  Sequence diagram is  used for dynamic modeling.

How are connections managed in orbix connect, The Orbix Connect resource ad...

The Orbix Connect resource adapter is packaged as a standard J2EE Connector Architecture resource adapter archive (RAR) file, corbaconn.rar. The corbaconn.rar file having all the c