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Hi all :) Does anyone know how to generate a square wave as a sum of sine waves using matlab code? I know how to generate a square wave using the "square" command but I have NO IDEA how to do it using fourier series. Won't someone PLEEEAAASE help me out? I'm really desperate here. :( Sara Lauren |
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Square signal
Started by ●March 12, 2003
Reply by ●March 12, 20032003-03-12
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Hi... here's how to generate a square wave using it's Fourier series: The Fourier series of a square wave of period = 2T (ignoring a constant scaling factor) is x = 1/1 * sin(2*pi*1*t/T) + 1/3 * sin(2*pi*3*t/T) + 1/5 * sin(2*pi*5*t/T) + ... + 1/(2*n+1) * sin(2*pi*(2n+1)*t/T) + ... The Fourier coefficients are all zero for n even. Here's how to do it in MATLAB: T = 1; % for a square wave of time period = 2*T = 2 secs t = 0:0.001:2; % time base ranges from 0 to 2 secs -> 1 period of wave n = 1:2:39; % taking odd n to compute sine waves. % the higher the value of n, the better the square shape wave = zeros(1,length(t)); s = wave; % initialise arrays to store computed sine values and % running sum of Fourier series for i = n % Perform summation specified by equation wave = 1/i*sin(i*pi*t/T); s = s + wave; end plot(t, s); % and finally... Regards AK On Wed, 12 Mar 2003 hyperpoetuk wrote : >Hi all :) >Does anyone know how to generate a square wave as a sum of sine >waves using matlab code? I know how to generate a square wave >using >the "square" command but I have NO IDEA how to do it using >fourier >series. >Won't someone PLEEEAAASE help me out? I'm really desperate here. >:( >Sara Lauren > >_____________________________________ >Note: If you do a simple "reply" with your email client, only the >author of this message will receive your answer. You need to do >a "reply all" if you want your answer to be distributed to the >entire group. >_____________________________________ >About this discussion group: >To Join: >To Post: >To Leave: >Archives: >http://www.yahoogroups.com/group/matlab >More DSP-Related Groups: >http://www.dsprelated.com/groups.php3 >br /> >. __________________________________________________________ Great Travel Deals, Airfares, Hotels on http://r.rediff.com/r?www.journeymart.com/rediff/travel.asp&&sign&&jmart |
