Applications of Linear Algebra in Electronics and Communication

Applications of Linear Algebra in Electronics and Communication By: Jeel, Pahal, Hema, Hiral, Pratik, Mana n, Surbhi, Samyak

What is linear algebra? • Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces. • In electronics and communication branch of engineering linear algebra is used in wide range. And latest technology is run by linear algebra. • In electronics part it is used to solve many circuits problem and in communication section it is used in the form of image processing which is used now a days a lot.

Image processing: • Image processing is a method to perform some operations on a image in order to get an enhanced image or to extract some useful information from it. • It is type of signal processing in which input is an image and output may be image or characteristics/features associated with that image. It is also used in physics.

Let the incident light intensity be denoted by Io. Also let the angle between the light source and local surface orientation be denoted by φ. Then the registered image intensity, I (u, v) , of that point is given by and ρ is a number capturing the surface reflection property at the location (x, y) , and It is referred to as the surface albedo.

• Let the three light source directions, relative to the camera, be specified by the vectors Assuming Lambertian surfaces, the three intensities can be related to the surface normal and the light source directions

Example

Thank you. . . .