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That is a good explanation!!
But one more thing how about \[sgn(t)\]? I mean if I apply the differentiation property to \[sgn(t)\] then now, if I integrate I wont get the FT of it. How to resolve???
fourier transform of u(t)
Hey,
I wish to find the Fourier transform of the signal \[u(t)\] which is unit step using the property of differentiation. i.e.,
\[\frac{d}{dt}u(t)=\delta(t)\]. Thus applying the differentiation property we get
\[j\omega F\left[u(t)\right]=1\] and thus...
spectral flatness matlab
Spectral Flatness Measure is the ratio of the Geometric mean and the Arithmetic mean of the given signal's power spectrum.
Let the given signal be given by \[x[n]\] and let its power spectrum be given by \[S_x(e^{j\omega)}\], then SFM is given by the formula,
\[SFM...
Re: fourier transform
Let me explain the thing in a different way!!!
The FT of a signal \[x(t)\] is given by the formula
\[X(j\omega)=\int\limits_{-\infty}^{\infty}x(t)e^{-j\omega t}dt\]
By closely looking at the equation we can see that we are actually finding the cross-correlation,, at...
the physics meaning of convolution
Let me explain it clearly !!
Let \[x(t)\;\&\;h(t)\] be the two signals which are to be convolved. We know that every signal is a scaled, continuous linear combination of shifted Dirac delta functions or in equation form...
We know the diferentiation property of the Fourier Transform that
\[f(t)\rightarrowF(\omega)\]
then
\[$\dfrac{df(t)}{dt}\rightarrow j\omegaF(\omega)$\]
Now let us try to find FT of the signal \[$x(t)=u(t)$\] using differentioation property.
we know that \[$\dfrac{du(t)}{dt}=\delta(t)$\]. So FT...
what is a DTFT matrix?
hello i have come across the term called DTFT matrix in DSP literature.
How is it different from DFT matrix and what are its special properties?
please help me!
thnx
purna!
Every positive definite matrix is invertible and its inverse is also positive definite. If M is positive definite and r > 0 is a real number, then rM is positive definite. If M and N are positive definite, then the sum M + N and the products MNM and NMN are also positive definite; and if MN =...
Re: What is Nyquist Rate
It is the minimum frequency at which the signal which is band limited has to be sampled so as to get back the original CT signal by reconstruction formula.
thnx
purna
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