This is Free Application of Matlab programming ( Programs ) about Digital Signal Processing
( DSP ).

Some of the Topics:
-Basic plotting of Fourier Transform in MATLAB
-Fast Fourier Transform
-Discrete Fourier Transform
-Discrete Fourier Transform Properties
-DSP : Digital Filter Design
-View PDF File of Matlab Programs about DSP

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and fourth-generation programming language. A proprietary programming language developed by MathWorks, MATLAB allowsmatrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C, C++, C#, Java,Fortran and Python.

MATLAB users come from various backgrounds of engineering, science, and economics.
Millions of engineers and scientists worldwide use MATLAB® to analyze and design the systems and products transforming our world. MATLAB is in automobile active safety systems, interplanetaryspacecraft, health monitoring devices, smart power grids, and LTE cellular networks. It is used for machine learning, signal processing, image processing, computer vision, communications, controldesign, robotics, and much more.

Although MATLAB is intended primarily for numerical computing, an optional toolbox uses the MuPAD symbolic engine, allowing access to symbolic computing abilities. An additional package, Simulink,adds graphical multi-domain simulation and model-based design for dynamic and embedded systems.

Math. Graphics. Programming.

The MATLAB platform is optimized for solving engineering and scientific problems. The matrix-based MATLAB language is the world’s most natural way to express computational mathematics. Built-ingraphics make it easy to visualize and gain insights from data. These MATLAB tools and capabilities are all rigorously tested and designed to work together.
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MATLAB helps you take your ideas beyond the desktop. You can run your analyses on larger data sets and scale up to clusters and clouds. MATLAB code can be integrated with other languages, enablingyou to deploy algorithms and applications within web, enterprise, and production systems.

About the application:
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Digital signal processing (DSP) is the most powerful technologies that will shape science and engineering in the 21st century. One of the important DSP applications is digital filter.
Various methods of filter designing and analysis have been developed over past three decades. Digital filters are playing a very important role in DSP. Filter designing is the process oftransformation of input sequence to obtain desired output sequence. Filter designing process can be described as an optimization problem where each requirement terms to an error function which shouldbe minimized. Digital filter are of two types, Finite Impulse Response (FIR) filter and Infinite Impulse response (IIR) filter.

The Fourier transform decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of itsconstituent notes. The Fourier transform of a function of time itself is a complex-valued function of frequency, whose absolute value represents the amount of that frequency present in the originalfunction, and whose complex argument is the phase offset of the basic sinusoid in that frequency.

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