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Fast Fourier Transform MATLAB Implementation
Fast Fourier Transform and MATLAB ImplementationbyWanjun HuangforforDr. Duncan L. MacFarlane1 SignalsIn 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 values1 Continuous Time Signal1 Discrete Time (t) [n]010203040-1 Time (s ec )010203040-1n2 Periodic Signalperiodic signal and non periodic signal:1 Periodic Signal1 Non-Periodic Signal010203040-10f(t)Ti m e (s ec )010203040-10f[n]nn Period T.
Time‐Frequency Analysis • A signal has one or more frequencies in it, and can be viewed from two different standpoints: Time domain and Frequency domain Time Domian (Banded Wren Song) 0 1 A mplitude Time Domian (Banded Wren Song) 1 2 Power Frequency Domain 0 2 4 6 8 x 10 4-1 Sample Number 0 200 400 600 800 1000 1200 0 Frequency (Hz)
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