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 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)
In MATLAB, you can generate signals using built-in functions. For example, to create a sine wave, you can use the sin function combined with a time vector. Here's a simple example: t = 0:0.01:1; % Time vector from 0 to 1 second with 0.01 second intervals frequency = 2; % Frequency of the sine wave signal = sin(2 * pi * frequency * t); % Generate the sine wave You can also use other functions like rand for random signals or chirp for frequency-swept signals.
To generate a 7.8 Hz wave, you can use a signal generator or an oscillator capable of producing low-frequency waves. Set the frequency to 7.8 Hz and select the desired waveform type (sine, square, etc.). Alternatively, you can create this frequency using a microcontroller or software like MATLAB or Python, utilizing a digital-to-analog converter (DAC) to output the wave. Ensure that the output is appropriately amplified if needed for your application.
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]);
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.
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.
You will need a regulator circuit that will change the shape of the pulse AND regulate the voltage to 5v.
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.
A: add a capacitor and proper bias
It can be used as a Sawtooth wave generator
by connecting the ujt with proper biasing resistors
A: ANALOGUE IT can be AC or DC it is up to the application involved An analog signal can be a sine wave, a square wave a sawtooth wave or any other varying waveform
The constant R in the sawtooth wave formula affects the slope of the rising edge of the wave. A higher R value will result in a steeper rising edge, while a lower R value will create a more gradual slope.