The code below can generate triangular wave in Matlab.
A=2; t = 0:0.0005:1;
x=A*sawtooth(2*pi*5*t,0.25); %5 Hertz wave with duty cycle 25%
plot(t,x);
grid
axis([0 1 -3 3]);
The below code in Matlab can generate a square wave. fs = 1000; t = 0:1/fs:1.5; x1 = sawtooth(2*pi*50*t); x2 = square(2*pi*50*t); subplot(2,2,1),plot(t,x1), axis([0 0.2 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); title('Sawtooth Periodic Wave') subplot(2,2,2),plot(t,x2), axis([0 0.2 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); title('Square Periodic Wave'); subplot(2,2,3),stem(t,x2), axis([0 0.1 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); The resultant wave has an amplitude of +1 to -1.
Generating Sine and Cosine Signals (Use updated lab)
The code below generates a saw tooth wave in Matlab fs = 10000; t = 0:1/fs:1.5; x = sawtooth(2*pi*50*t); subplot(1,2,1); plot(t,x), axis([0 0.2 -1 1]); xlabel('t'),ylabel('x(t)') title('sawtooth signal'); N=2; fs = 500;n = 0:1/fs:2; x = sawtooth(2*pi*50*n); subplot(1,2,2); stem(n,x), axis([0 0.2 -1 1]); xlabel('n'),ylabel('x(n)') title('sawtooth sequence');
The Fourier series of a triangular wave is a sum of sine terms that converge to the triangular shape. It can be expressed as ( f(x) = \frac{8A}{\pi^2} \sum_{n=1,3,5,...} \frac{(-1)^{(n-1)/2}}{n^2} \sin(nx) ), where ( A ) is the amplitude of the wave, and the summation runs over odd integers ( n ). The coefficients decrease with the square of ( n ), leading to a rapid convergence of the series. This representation captures the essential harmonic content of the triangular wave.
Noise triangle is a triangular noise distribution for FM.Noise triangle is the study of effect of noise on the carrier signal of the FM wave.
A=2; t = 0:0.0005:1; x=A*sawtooth(2*pi*5*t,0.25); %5 Hertz wave with duty cycle 25% plot(t,x); grid axis([0 1 -3 3]); The above code can generate sine wave using Matlab.
Triangular wave generator is a device (for eg NE555 timer) that generates a triangular wave by integrating a square wave. In applications an ICL8038 IC can be used to generate all types of waves.
The below code in Matlab can generate a square wave. fs = 1000; t = 0:1/fs:1.5; x1 = sawtooth(2*pi*50*t); x2 = square(2*pi*50*t); subplot(2,2,1),plot(t,x1), axis([0 0.2 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); title('Sawtooth Periodic Wave') subplot(2,2,2),plot(t,x2), axis([0 0.2 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); title('Square Periodic Wave'); subplot(2,2,3),stem(t,x2), axis([0 0.1 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); The resultant wave has an amplitude of +1 to -1.
it is DC powered, but can generate sawtooth or triangular wave AC if wired up properly. it cannot generate sine wave AC, although with an opamp wave shaping circuit the triangular AC waveform can be reshaped to a rough approximation of a sine wave.
Generating Sine and Cosine Signals (Use updated lab)
To solve the wave equation using MATLAB, you can use numerical methods such as finite difference or finite element methods. These methods involve discretizing the wave equation into a system of equations that can be solved using MATLAB's built-in functions for solving differential equations. By specifying the initial conditions and boundary conditions of the wave equation, you can simulate the behavior of the wave over time using MATLAB.
The monostable provides a square wave, which can be converted into a triangular wave by putting it through an integrator.
If its a triangular wave, its not DC, its AC, its just not sinusoidal. Can a transformer operate on triangular AC? Yes, but not as efficiently as on sinusoidal AC.
The fifth harmonic of a 500 Hz triangular wave would be at a frequency of 2500 Hz. This means that the fifth harmonic would have a frequency that is five times the fundamental frequency of the triangular wave.
Because your multimeter is not an adequate device for this kind of measurement. Use the correct multimeter to display the triangular wave value.
1.15
By shifting the sine wave by 45 degrees.