Category: Matlab

Convolution Prove: DFT{x1(n)*x2(n)} = X1(K)X2(K) You can prove Convolution Property in MATLAB of any sinusoidal signal. To do Linearity with any signal in Matlab, simply open and create a new Script (.m file) in Matlab.   Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script.    Step 2: Now […]

Conjugation Prove: DFT[x*(n)] = X*(-K) You can prove Conjugation Property in MATLAB of any sinusoidal signal. To do Conjugation with any signal in Matlab, simply open and create a new Script (.m file) in Matlab.   Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script.    Step 2: Now write […]

 Frequency shifting Prove: DFT{x(n)e^(j(2*pi/N)nl = X(K-l) You can prove Frequency Shifting Property in MATLAB of any sinusoidal signal. To do Linearity with any signal in Matlab, simply open and create a new Script (.m file) in Matlab.   Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script.    Step 2: […]

Duality Prove: DFT[Nx(-n)] = X(K) You can prove Duality Property in MATLAB of any sinusoidal signal. To do Linearity with any signal in Matlab, simply open and create a new Script (.m file) in Matlab.   Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script.    Step 2: […]

 Time shifting Prove: DFT{x(n-l)} = X(K)e^(-j(2*pi/N)kl You can prove Time Shifting Property in MATLAB of any sinusoidal signal. To do Linearity with any signal in Matlab, simply open and create a new Script (.m file) in Matlab.   Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script.    […]

Linearity Property Prove: DFT{αx1(n) + βx2(n)} = αX1[K] + βX2[K] You can prove Linearity Property in MATLAB of any sinusoidal signal. To do Linearity with any signal in Matlab, simply open and create a new Script (.m file) in Matlab.   Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << […]

The convolution of two signals in the time domain is equivalent to the multiplication of their representation in frequency domain. Mathematically, we can write the convolution of two signals as As everyone knows that in MATLAB there is a built-in conv(x, y) function, through which you can easily convolve two functions and calculate their convolution. […]

In DSP(Digital Signal Processing), Parseval’s theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform. For the DFT, Parseval’s relation is expressed: The left side of this equation is the total energy […]

You can do Time Scaling in Matlab of Discrete as well as Continuous signals. To time scale any discrete or continuous signal in Matlab, simply open and create a new Script (.m file) in Matlab. Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script.     Step 2: […]

You can do Time Shifting in Matlab with Discrete as well as Continuous signals. To time shift any discrete or continuous signal in Matlab, simply open and create a new Script (.m file) in Matlab. Step 1: Open MATLAB << Then on the top left corner click on the File option << Click New << Then click Script. Step 2: Now write […]