## How do you take the FFT of a sine wave in MATLAB?

FFT of a sinusoidal function

- Fs = 1000; % Sampling frequency.
- T = 1/Fs; % Sampling period.
- L = 1500; % Length of signal.
- t = (0:L-1)*T; % Time vector.
- S = 0.7*sin(2*pi*50*t) + 1*sin(2*pi*120*t);
- Y = fft(S);
- P2 = abs(Y/L);
- P1 = P2(1:L/2+1);

## How do you make a Fourier transform in MATLAB?

Y = fft( X ) computes the discrete Fourier transform (DFT) of X using a fast Fourier transform (FFT) algorithm.

- If X is a vector, then fft(X) returns the Fourier transform of the vector.
- If X is a matrix, then fft(X) treats the columns of X as vectors and returns the Fourier transform of each column.

**How use Fourier function in MATLAB?**

Use a time vector sampled in increments of 1 50 of a second over a period of 10 seconds. Compute the Fourier transform of the signal, and create the vector f that corresponds to the signal’s sampling in frequency space. y = fft(x); fs = 1/Ts; f = (0:length(y)-1)*fs/length(y);

**How do you plot a sine wave in MATLAB?**

in sine function in MATLAB it is always sin(wt). here frequency w is in radian/sec not f (in HZ) so w will give you the no. of the cycle. if you want to use the sin(2*pi*60*t) you can use the sind(2*pi*9.545*t).

### How do you find the frequency of a sine wave in MATLAB?

Direct link to this answer

- len=length(signal);
- fs=50 % assuming you know the sampling frequency of your signal.
- n=0:len-1;
- N=n*fs/(len-1); % convert x-axis in actual frequency.
- y=fft(signal);
- plot(N,abs(y));

### How do you fit a Fourier series to data in MATLAB?

Fit Fourier Models Interactively On the Curve Fitter tab, in the Data section, click Select Data. In the Select Fitting Data dialog box, select X Data and Y Data, or just Y Data against an index. Click the arrow in the Fit Type section to open the gallery, and click Fourier in the Regression Models group.

**How do you graph a sine wave?**

To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called ‘sinusoidal’ after the name of the sine function.

**How do you generate sin in MATLAB?**

## What is Fourier sine transform formula?

f ″ ^ S ω = − 2 π ω f 0 + ω 2 f ^ S ω .

## What is finite Fourier sine transform?

The Finite Fourier Transforms. When solving a PDE on a finite interval 0 < x < L, whether it be the heat equation or wave. equation, it can be very helpful to use a finite Fourier transform. In particular, we have the finite. sine transform.

**How do you integrate e JWT?**

Solution

- Apply u − substitution. =∫ − e u wj du.
- Take the constant out : ∫ a · f ( x ) dx = a ·∫ f ( x ) dx. =−1 wj ·∫ e u du.
- Use the common integral : ∫ e u du = e u =−1 wj e u
- Substitute back u =− wjt. =−1 wj e − wjt
- =−1 wj e − wjt + C.

**How do I use the Ezplot function in MATLAB?**

ezplot( f , [xmin,xmax,ymin,ymax] ) plots f over the specified ranges along the abscissa and the ordinate. ezplot( x,y ) plots the parametrically defined planar curve x = x(t) and y = y(t) over the default range 0 <= t <= 2π or over a subinterval of this range.

### How do you show a sine wave in MATLAB?

### What is the Fourier transform in MATLAB?

View MATLAB Command The Fourier transform is a mathematical formula that relates a signal sampled in time or space to the same signal sampled in frequency. In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components.

**What is the frequency variable in Fourier transform?**

Transformation variable, specified as a symbolic variable, expression, vector, or matrix. This variable is often called the “frequency variable.” By default, fourier uses w. If w is the independent variable of f, then fourier uses v. c and s are parameters of the Fourier transform. The fourier function uses c = 1, s = –1.

**How does the Fourier transform work with random noise?**

In scientific applications, signals are often corrupted with random noise, disguising their frequency components. The Fourier transform can process out random noise and reveal the frequencies. For example, create a new signal, xnoise, by injecting Gaussian noise into the original signal, x.

## How to compute the inverse Fourier transform of an array?

If any argument is an array, then fourier acts element-wise on all elements of the array. If the first argument contains a symbolic function, then the second argument must be a scalar. To compute the inverse Fourier transform, use ifourier.