Title : 
Tom, Dick, and Mary discover the DFT
         
        
            Author : 
Deller, J.R., Jr.
         
        
            Author_Institution : 
Dept. of Electr. Eng., Michigan State Univ., East Lansing, MI, USA
         
        
        
        
        
            fDate : 
4/1/1994 12:00:00 AM
         
        
        
        
            Abstract : 
Discrete Fourier techniques are increasingly being taught as material detached from fundamental continuous-time Fourier analysis. The student is left with an unclear understanding, if any, of the very significant relationships between magnitude and phase spectra generated digitally, and the continuous-time signal which is being analyzed. The present article tells the story of three undergraduate students who discover the DFT, armed only with a knowledge of analog methods.<>
         
        
            Keywords : 
fast Fourier transforms; signal processing; DFT; analog methods; continuous-time Fourier analysis; discrete Fourier techniques; magnitude; phase spectra; Design engineering; Discrete Fourier transforms; Discrete transforms; Education; Modems; Signal analysis; Signal generators; Signal processing; Spectral analysis; Technological innovation;
         
        
        
            Journal_Title : 
Signal Processing Magazine, IEEE