# Questions tagged [inverse]

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### Is this system invertible or not?

Prove that the following system is invertible. $$y(t) = \mathcal{T}\{x(t)\} = \int_{-\infty}^{3t} x(\tau) \,\mathrm d \tau$$ Answer: yes, the system is invertible. I need some hint here, not the ...
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### Frequency domain Inversion of a signal

I have been trying to calculate the inverse of a sweep (by inverse I mean something that when convolved with my original signal will yield a unit impulse) and although I managed to find a time-domain ...
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I learned about the inverse system. Suppose I have an impulse response $h(t)$ which is a box function. ($A = 1, T = 2$) If I take the Fourier transform and referring the transform pairs, $$H(j\omega)... 2answers 92 views ### My impulse response does not tend to zero I am doing an IFFT of frequency response data achieved with Simulation tools. When I plot my impulse response it looks wrong as the response does not tend to zero as it should. Instead there seems ... 1answer 52 views ### How can I find the value of Inverse DFT I have dt signal x[n]={[6.29, 8.11,-7.46,8.26,2.64,-8.04,-4.43,0.93,-9.29]} And I need to give the function value of: 1) sum of x[n] = \sum\limits_{k=0}^{N-1} X[k] \, e^{-j 3 \pi k/5} from k=0 ... 0answers 23 views ### Solving the system response using inverse Laplace transform I am trying to solve this question but I got stuck when inverting the Laplace transform for this problem. I do not know that whether I do it right or wrong. Moreover, I do not know how to handle the ... 1answer 32 views ### Inverse Fourier Transform Dirac impulse with scaled argument Currently, I am dealing with the sampling problems and I don't understand how to calculate inverse Fourier transform of a scaling impulse function \textrm{IFT}\{\delta(\Omega T)\} = ?, T is ... 0answers 23 views ### Inversion problem for big dataset Suppose my goal is to solve for x in Ax = b using CG method and A is Toeplitz. The problem is that b is extremely large in size and I can't just read in the whole vector b and then solve for ... 0answers 36 views ### is this system invertible? Is this system invertible?$$H \lbrace x(t) \rbrace = x(e^t)  I can find the reverse mapping from exp, but I'm not sure whether in systems theory this is considered reversible. I'd love to get an ...
Given a signal $X$, and a channel $h$, and the received signal $Y = Filter(h,1,X);$ What's the inverse of filter, it means if I know $h$, how can I get back $X$ ?