## 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

#### Design issues of interconnection network, Design Issues Of Interconnection ...

Design Issues Of Interconnection Network The following are the problems, which should be considered while preparing an interconnection network. 1)   Dimension and size of n

#### What are the facilities of a debug monitor, What are the facilities of a de...

What are the facilities of a debug monitor? The facilities of a debug monitor are given below: a. Setting breakpoints into the program b. Initiating a debug conversation

#### What is an interpreted languages, What is an interpreted languages In ...

What is an interpreted languages In interpreted languages, the instructions are implemented immediately after parsing. Both tasks are done by the interpreter. The code is sav

#### What are ramps, Ramps A network planning method that makes the most wel...

Ramps A network planning method that makes the most well-organized use of manpower, materials and cash resources between several projects going on concurrently.

#### Explain types of micro-instructions, Q. Explain types of Micro-instructions...

Q. Explain types of Micro-instructions? In general micro-instruction can be classifiedin two general kinds. These are non-branching and branching. After execution of a non-bran

#### Describe the working of operating system, Write the importance of operating...

Write the importance of operating system. Describe the working methodology of online and real-time operating system with the help of two examples of each.

#### The alignment of a type ''c'' field in a report, The alignment of a type 'c...

The alignment of a type 'c' field in a report is? ? Left Aligned.

#### What are multi-cycle paths, What are multi-cycle paths? Multi-cycle pat...

What are multi-cycle paths? Multi-cycle paths are paths among registers which take more than one clock cycle to turn out to be stable. For illustration analyzing the de

pebble merchant

#### Flowchart, flow chart for ''sin x'' as sum of serie

flow chart for ''sin x'' as sum of serie  