MAE 4020/5020 – Numerical Methods with MATLAB. SECTION 10: FOURIER rectangular pulse train: ... Recall the Fourier series for the pulse train an even.
Solution: Use MATLAB to plot the signal c(t) = cos(2 ? f0 t) rect(t - ½) for -0.5 We then lookup the Fourier transforms of cosine and rectangular pulse:.
is still a periodic sequence with period N in frequency domain. )( ~. kX. The Fourier series for the discrete-time periodic wave shown below:.
MATLAB function filter to solve the difference equation (use help to learn about filter). (a) Consider a train of rectangular pulses x(t) with a period.
Using MATLAB to Plot the Fourier Transform of a Time Function Thus in MATLAB we write the transform
Another property of the sinc function sequence is that it is not absolutely summable. If we recall from (7.7) that absolute summability is a sufficient
The Fourier transform of the pulse yields its spec- the rectangular pulse however
The Fourier transform of this pulse is a sinc function Thus the rectangular-pulse train has an infinite har- ... fir1 function in Matlab.
rapidly computable fast Fourier transform or FFT) can be used to find the spectrum or frequency content of a measured signal. The MATLAB function
That is where find its spectrum? ?0 = 2? f0. Page 27. Rectangular Pulses. 2.2 Fourier transform