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Fast Fourier Transform MATLAB Implementation

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Fast Fourier Transform and MATLAB ImplementationbyWanjun HuangforforDr. Duncan L. MacFarlane1SignalsIn the fields of communications, signal processing, and in electrical engineeringmore generally, a signal is any time varying or spatial varying quantityThis variable(quantity) changes in time Speech or audio signal: A sound amplitude that varies in time Temperature readings at different hours of a day Stock price changes over days Etc can be classified by continues time signal and discrete time signal: A discrete signal or discrete time signal is a time series, perhaps a signal that hbldftitiilhas been sampled from a continuous time signal A digital signal is a discrete time signal that takes on only a discrete set of values1Continuous Time Signal1Discrete Time (t) [n]010203040-1Time (s ec )010203040-1n2Periodic Signalperiodic signal and non periodic signal:1Periodic Signal1Non-Periodic Signal010203040-10f(t)Ti m e (s ec )010203040-10f[n]nn Period T.

Introduction for MATLAB MATLAB is a numerical computing environment developed by MathWorks. MATLAB allows matrix manipp,ulations, ppglotting of functionsanddata,andimplementationofalgorithms Gettinghelp You can get help by typing the commands helpor lookforat the>> prompt,e.g. >> help fft Arithmetic operators Symbol …

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