EDUCBA

EDUCBA

MENUMENU
  • Free Tutorials
  • Free Courses
  • Certification Courses
  • 360+ Courses All in One Bundle
  • Login
Home Data Science Data Science Tutorials Matlab Tutorial Matlab Sine Wave
Secondary Sidebar
Matlab Tutorial
  • Advanced
    • MATLAB Class
    • Arrays in MATLAB
    • Matlab find value in array
    • MATLAB Grader
    • Power Spectral Density MATLAB
    • Matlab Textscan
    • String Array in MATLAB
    • MATLAB Random Numbers
    • Matlab Dot
    • MATLAB 2D Array
    • MATLAB? zero padding
    • MATLAB sort matrix
    • MATLAB Plot Function
    • 2D Plots in MATLAB
    • 3D Plots in MATLAB
    • MATLAB Fread
    • Spectrogram MATLAB
    • MATLAB Average
    • MATLAB exponent
    • MATLAB not enough input arguments
    • MATLAB comment
    • MATLAB zpk
    • Scatter Plots in MATLAB
    • MATLAB 3d scatter plot
    • Bar Graph in MATLAB
    • Bar Plot MATLAB
    • Log Plot MATLAB
    • Polar Plot in MATLAB
    • Surface Plot in MATLAB
    • MATLAB Plot Circle
    • Boxplot in MATLAB
    • MATLAB Plot Multiple Lines
    • Linspace MATLAB
    • Histogram in MATLAB
    • Plot Vector MATLAB
    • MATLAB Legend
    • MATLAB Plot Legend
    • MATLAB ezplots
    • Column Vector MATLAB
    • MATLAB Plot Marker
    • MATLAB LineWidth
    • MATLAB Line Style
    • Contour plot in MATLAB
    • MATLAB Sine Wave
    • Reshape in MATLAB
    • Natural Log in MATLAB
    • Random Number Generator in MATLAB
    • Complex Numbers in MATLAB
    • MATLAB Figure
    • Heatmap in MATLAB
    • MATLAB Technical Computing
    • Colors in MATLAB
    • Colormap in MATLAB
    • MATLAB Plot Colors
    • MATLAB fplot()
    • MATLAB Stacked Bar
    • MATLAB sphere()
    • MATLAB cylinder()
    • MATLAB mesh()
    • Pie Chart in MATLAB
    • MATLAB Gradient
    • Grid on MATLAB
    • Repmat in MATLAB
    • dlmread in MATLAB
    • Meshgrid in MATLAB
    • MATLAB Struct
    • MATLAB Cross Product
    • MATLAB colorbar Label
    • MATLAB Save Variable
    • MATLAB Saveas
    • MATLAB Cell Array
    • Polynomial in MATLAB
    • ismember MATLAB
    • Heaviside MATLAB
    • MATLAB rref
    • MATLAB polyfit()
    • MATLAB xlim
    • MATLAB Variance
    • Optimset MATLAB
    • Quiver MATLAB
    • Newton Raphson MATLAB
    • Mat2cell MATLAB
    • Magnitude MATLAB
    • format long MATLAB
    • Dot Product MATLAB
    • Jacobian MATLAB
    • What is Matlab?
    • Convolution MATLAB
    • Moving Average MATLAB
    • Fourier Series MATLAB
    • Gaussian Fit MATLAB
    • Bisection Method MATLAB
    • Laplace Transform MATLAB
    • Fourier Transform MATLAB
    • Signal Processing MATLAB
    • MATLAB Forms
    • Complex Conjugate MATLAB
    • MATLAB Write to File
    • uigetfile MATLAB
    • MATLAB Toolbox
    • MATLAB Errorbar
    • MATLAB Index Exceeds Matrix Dimensions
    • Nyquist MATLAB
    • Impulse Response MATLAB
    • xlsread MATLAB
    • MATLAB xlswrite
    • Matplotlib Scatter
    • MATLAB Import Data
    • MATLAB Export Data
    • MATLAB Read CSV
  • Basic
    • MATLAB Area Under Curve
    • MATLAB not equal
    • MATLAB max
    • MATLAB exist
    • MATLAB Table
    • MATLAB regression
    • MATLAB Lists
    • MATLAB quantile
    • MATLAB Round
    • MATLAB readtable
    • MATLAB disp
    • MATLAB Standard Deviation
    • MATLAB quadprog
    • MATLAB Transpose
    • Introduction to MATLAB
    • Advantages of MATLAB
    • MATLAB Features
    • Taylor Series MATLAB
    • MATLAB Z Transform
    • fsolve in MATLAB
    • MATLAB QR
    • Career in MATLAB
    • Uses Of MATLAB
    • MATLAB Free
    • How to Install MATLAB
    • How to Use MATLAB?
    • MATLAB Version
    • MATLAB Compiler
    • MATLAB Commands
    • MATLAB Block Comment
    • MATLAB? sprintf
    • MATLAB fprintf
    • Data Types in MATLAB
    • MATLAB Integral
    • MATLAB Double Integral
    • MATLAB boolean
    • MATLAB vpa
    • MATLAB Object
    • MATLAB Annotation
    • MATLAB Variables
    • MATLAB Global Variables
    • MATLAB Operators
    • MATLAB Logical Operators
    • MATLAB nan
    • MATLAB Patch
    • MATLAB AND Operator
    • MATLAB OR Operator
    • Vectors in MATLAB
    • What is Simulink in MATLAB
    • MATLAB Interpolation
    • MATLAB Imread
    • fscanf MATLAB
    • Euler Method MATLAB
    • Root Locus MATLAB
    • MATLAB return
    • Bode Plot MATLAB
    • Nargin MATLAB
    • MATLAB Matrix Inverse
    • MATLAB String to Number
    • MATLAB string
    • MATLAB ColorBar
    • MATLAB Surfc
    • MATLAB Concatenate
    • NUMEL MATLAB
    • MATLAB? File Extension
    • MATLAB File
    • MATLAB Smooth
    • MATLAB ones
    • Exponential in MATLAB
    • MATLAB ksdensity
    • MATLAB log
    • MATLAB Append
    • MATLAB hold on
    • MATLAB Magnitude of Vector
    • Heatmap in MATLAB
    • MATLAB xticks
    • MATLAB randn
  • Control Statements
    • IF-Else Statement in MATLAB
    • If Statement in MATLAB
    • Loops in MATLAB
    • For Loop in MATLAB
    • While Loop in MATLAB
    • do while loop in MATLAB
    • Nested Loop in MATLAB
    • Switch Statement in MATLAB
    • Break in MATLAB
  • Functions
    • MATLAB Functions
    • MATLAB user defined function
    • Calling Functions in MATLAB
    • Transfer Functions in MATLAB
    • Anonymous Functions in MATLAB
    • Inline Functions in MATLAB
    • Bessel Functions in MATLAB
    • Mean Function in MATLAB
    • Find Function MATLAB
    • Filter Function in MATLAB
    • IIR Filter MATLAB
    • Piecewise Function in MATLAB
    • Sum Function in MATLAB
    • Simulink MATLAB Function
    • MATLAB Create Function
    • MATLAB Inverse Function
    • MATLAB Count
    • Step Function MATLAB
    • MATLAB limit
    • Fminsearch in MATLAB
    • Covariance in MATLAB
    • Summation in MATLAB
    • Linear Fit MATLAB
    • MATLAB?linear regression
    • MATLAB Derivative
    • MATLAB Derivative of Function
    • MATLAB Comet()
    • Fzero MATLAB
    • xlabel MATLAB
    • Matplotlib Legend
    • Matplotlib Subplots
    • Plot graph MATLAB
    • MATLAB Format
    • MATLAB plot title
    • Multiple Plots in MATLAB
    • MATLAB Indexing
    • Ceil MATLAB
    • Curve Fitting MATLAB
    • MATLAB trapz()
    • MATLAB Normalize
    • MATLAB diff
    • MATLAB sym()
    • MATLAB Syms
    • Absolute Value MATLAB
    • MATLAB Exponential
    • Kalman Filter MATLAB
    • Low Pass Filter MATLAB
    • Bandpass Filter MATLAB
    • MATLAB Unique
    • Trapezoidal Rule MATLAB
    • MATLAB Root Finding
    • MATLAB stem()
    • MATLAB loglog()
    • MATLAB Autocorrelation
    • MATLAB Sort
    • Simplify MATLAB
    • Cumsum MATLAB
    • Eval Function MATLAB
    • Polyval MATLAB
    • MATLAB Colon
    • MATLAB Eigenvalues
    • MATLAB fit
    • Delta Function MATLAB
    • MATLAB Remainder
    • Differentiation in MATLAB
    • Permute MATLAB
    • isempty MATLAB
    • MATLAB text()
    • MATLAB Display Text
    • Varargin in MATLAB
    • MATLAB gca
    • MATLAB fill()
    • MATLAB pcolor()
    • MATLAB min
    • MATLAB xcorr
    • MATLAB? color codes
    • Semilogy MATLAB
    • MATLAB? eye
    • feval MATLAB
    • num2str in MATLAB
    • MATLAB Images
    • MATLAB Image? Segmentation
    • Imagesc MATLAB
    • MATLAB Image Processing
    • MATLAB Image Resize
    • MATLAB Flag
    • MATLAB fopen
    • Strcmp MATLAB
    • MATLAB fwrite
    • MATLAB fft()
    • MATLAB zeros()
    • MATLAB textread
    • Arctan MATLAB
    • MATLAB Scripts
    • Butterworth filter MATLAB
    • MATLAB Findpeaks
    • MATLAB find Index
    • MATLAB Cell
    • MATLAB Unit Step Function
    • MATLAB Backslash
    • MATLAB Mod
    • Size Function in MATLAB
    • Secant MATLAB
  • Matrix
    • Matrix in MATLAB
    • 3D Matrix in MATLAB
    • Transpose Matrix MATLAB
    • Sparse Matrix in MATLAB
    • Matrix Multiplication in MATLAB
    • Identity Matrix in MATLAB
    • MATLAB?writematrix
  • Programs
    • Square Root in MATLAB
    • Square Wave MATLAB
    • Squeeze MATLAB
    • Factorial in MATLAB
    • Cell to String MATLAB
  • Interview Questions
    • MATLAB Interview Questions

Related Courses

MATLAB Certification Course

R Programming Course

All in One Data Science Courses

Matlab Sine Wave

By Priya PedamkarPriya Pedamkar

Matlab Sine Wave

Introduction to Matlab Sine Wave

Sine wave, also known as a sinusoidal wave, is a mathematical expression that represents a repetitive oscillation. It is a function of time. MATLAB supports generating sin waves using the 2D plot function. In this topic, we are going to learn about Matlab Sine Wave.

The general syntax for a sinusoidal input can be given as:

s(t)= A(sinBt+C)

All in One Data Science Bundle(360+ Courses, 50+ projects)
Python TutorialMachine LearningAWSArtificial Intelligence
TableauR ProgrammingPowerBIDeep Learning
Price
View Courses
360+ Online Courses | 50+ projects | 1500+ Hours | Verifiable Certificates | Lifetime Access
4.7 (86,650 ratings)

Matlab Sine Wave output 1

Start Your Free Data Science Course

Hadoop, Data Science, Statistics & others

The sine wave plot for s(t) is generated using the plot() function as :

plot(s(t),t)

Where ‘A’ decides the peak value of the wave i.e. the amplitude.

Example:

The below code is written to generate sin wave with an amplitude of value ‘1’.

t = 0:pi/100:2*pi;
st = sin(t);
plot(t,st)

Output:

Matlab Sine Wave output 2

In real-time applications, the sinewave inputs are formed as

Asin(w*t+theta)

or

Asin(2*pi*f*t+theta)

Where:

w Decides the angular frequency of the wave
Theta Decides the phase angle for the frequency
f Decides the linear frequency of the wave

Note: Angular frequency w and linear frequency f are related as

w=2*pi*f

Examples of Matlab Sine Wave

Here are the following examples mention below:

Example #1

The below code is developed to generate sin wave having values for amplitude as ‘4’ and angular frequency as ‘5’.

t = 0:0.01:2;
w = 5;
a = 4;
st = a*sin(w*t);
plot(t,st);

Output:

The resultant sine wave is displayed for the time duration of 0 to 2 attaining the peak amplitude +4 in the first half cycle and -4 in the second half cycle with angular frequency 5.

Matlab Sine Wave output 3

Example #2

The below code is developed to generate sin wave having values for amplitude as ‘1’ and liner frequency as ‘10’.

f = 10;
t = 0:0.1:10000;
st = sin(2*3.141516*f*t);
plot(t,st);

Output:

The resultant sine wave is displayed for the time duration of 0 to 10000 attaining the peak amplitude +1 in the first half cycle and -1 in the second half cycle having linear frequency 10.

Matlab Sine Wave output 4

MATLAB incorporates the flexibility of customizing the sine wave graph. It can be achieved by editing the attributes for plot() function.

  1. xlabel: x-axis label is generated.
  2. Ylabel: y-axis label is generated.
  3. Title: A title gets added to the sine wave plot
  4. Axis square: It enables the user to generate the sine wave in square form.
  5. Axis equal: User can create the sine wave plot with common scale factor and spaces for both the axes
  6. Grid on: gridlines gets enabled for the sine wave plot

Example:

The below code is developed to generate sin wave having values for amplitude as ‘1’ and liner frequency as ‘10’.

f = 10;
t = 0:0.1:10000;
st = sin(2*3.141516*f*t);
plot(t,st), xlabel('time-axis'), ylabel('st'), title('Sine wave'),
grid on

Output:

The resultant sine wave is displayed for the time duration of 0 to 10000 attaining the peak amplitude +1 in the first half cycle and -1 in the second half cycle having linear frequency 10. The plot is customized by inserting values for xlabel and ylabel and title of the plot.

output 5

Generating multiple sine wave plots with different pair of axes

The feature of generating the multiple numbers of sinusoidal plots with different pairs of axes in the same layout using a single command can be applied using ‘subplot’.

Example:

The below code is developed to generate 2 sin waves having values for amplitude as 5 and 10 respectively and angular frequency as 3 and 5 respectively.

t = [0:0.01:5];
st = 5*sin(3*t);
subplot(1,2,1)
plot(x,y), xlabel('t'),ylabel('subplot 1')
st = 10*sin(5*t);
subplot(1,2,2)
plot(x,y),xlabel('t'),ylabel('subplot 2')

Output:

The resultant graph contains two different sinusoidal plots created in the same layout. The first sinusoidal wave is generated in the first cell of the layout with an amplitude of 5 and an angular frequency of 3. The second sinusoidal wave with an amplitude of 10 and an angular frequency of 5 is generated in the second cell of the layout.

output 6

1. Presenting multiple sine waves with a common axis

Displaying multiple sine waves sharing one set of the common axis is also supported by MATLAB. This can be achieved in a single command as shown in the example given below.

Example:

The code snippet is written to display 2 different sine waves on one common plane sharing a single pair of axes.

t = [0 :pi/10: 10];
st1 = 5*sin(t);
st2 = 10*sin(2*t+3);
plot(t,st1,t,st2,'.-'), legend('signal1', 'signal2')

Output:

The resultant graph contains one sinusoidal wave having amplitude 5 and angular frequency 1 and another sine wave having an amplitude of 10, angular frequency of 2, and a phase shift of 3.

output 7

2. Creating an area plot for sinewave function

The MATLAB 2d plot method area() can be used to represent the input sine wave with the area under the curves being filled. The curve at the nth interval of the time axis, represents the relative share of each input element concerning the total height of the curved.

Example:

The below code generates an area type plot for the given sinusoidal wave input.

t=[0:pi/100:2*pi];st=10*sin(5*t);area(st)

Output:

output 8

3. Creating a scatter plot for sinewave function

The MATLAB 2d plot method scatter() can be used to represent the input sine wave data points as small circles concerning the value on the ‘t’ axis.

Example:

t=[0:pi/100:2*pi];st=10*sin(5*t);scatter(t,st)

Output:

output 9

4. Creating a stair plot for sinewave function

The MATLAB 2d plot method stairs() can be used to represent the input sine wave in the form of stairs drawn over the ‘t’ axis.

Example:

t=[0:pi/100:2*pi];st=5*sin(5*t);stairs(t,st)

Output:

output 10

5. Generating sine wave for real-time application simulation

MATLAB is used to run simulation activities of real-time applications. Most of the signals from the applications are sinusoidal by nature. Hence generating a sine wave using MATLAB plays an important role in the simulation feature of MATLAB.

Example:

The electrical voltage and current through a register are related as

Current i= voltage(v)/Registance(r)

The below example demonstrates the extraction of the current value from the voltage input and represents both the signals.

t = 0:pi/100:2*pi;r=10;v=20*sin(5*t);i=v./r;plot(t,v,t,i)

Output:

output 11

Conclusion

The generation of sine wave signals using plot function is one of the key features in MATLAB which enables it to run a simulation process for many real-time functions accurately and precisely. The flexibility in customization of the display of sine waves is a major add-on to its applicability.

Recommended Articles

This is a guide to Matlab Sine Wave. Here we discuss the generating multiple sine wave plots with different pairs of axes along with the sample examples. You may also have a look at the following articles to learn more –

  1. Matlab Plots Marker
  2. What is Simulk in Matlab
  3. Matlab stem()
  4. Matlab Line Style
Popular Course in this category
MATLAB Training (3 Courses, 1 Project)
  3 Online Courses |  1 Hands-on Project |  8+ Hours |  Verifiable Certificate of Completion
4.5
Price

View Course

Related Courses

R Programming Training (13 Courses, 20+ Projects)4.9
All in One Data Science Bundle (360+ Courses, 50+ projects)4.8
0 Shares
Share
Tweet
Share
Primary Sidebar
Footer
About Us
  • Blog
  • Who is EDUCBA?
  • Sign Up
  • Live Classes
  • Corporate Training
  • Certificate from Top Institutions
  • Contact Us
  • Verifiable Certificate
  • Reviews
  • Terms and Conditions
  • Privacy Policy
  •  
Apps
  • iPhone & iPad
  • Android
Resources
  • Free Courses
  • Database Management
  • Machine Learning
  • All Tutorials
Certification Courses
  • All Courses
  • Data Science Course - All in One Bundle
  • Machine Learning Course
  • Hadoop Certification Training
  • Cloud Computing Training Course
  • R Programming Course
  • AWS Training Course
  • SAS Training Course

ISO 10004:2018 & ISO 9001:2015 Certified

© 2022 - EDUCBA. ALL RIGHTS RESERVED. THE CERTIFICATION NAMES ARE THE TRADEMARKS OF THEIR RESPECTIVE OWNERS.

EDUCBA
Free Data Science Course

SPSS, Data visualization with Python, Matplotlib Library, Seaborn Package

*Please provide your correct email id. Login details for this Free course will be emailed to you

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA Login

Forgot Password?

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA
Free Data Science Course

Hadoop, Data Science, Statistics & others

*Please provide your correct email id. Login details for this Free course will be emailed to you

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA

*Please provide your correct email id. Login details for this Free course will be emailed to you

By signing up, you agree to our Terms of Use and Privacy Policy.

Let’s Get Started

By signing up, you agree to our Terms of Use and Privacy Policy.

This website or its third-party tools use cookies, which are necessary to its functioning and required to achieve the purposes illustrated in the cookie policy. By closing this banner, scrolling this page, clicking a link or continuing to browse otherwise, you agree to our Privacy Policy

Loading . . .
Quiz
Question:

Answer:

Quiz Result
Total QuestionsCorrect AnswersWrong AnswersPercentage

Explore 1000+ varieties of Mock tests View more