# Questions tagged [inverse]

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### Build an inverse model for a train of gaussian pulses

I have a stationary signal from a train of Gaussian pulses. My sampling window is too wide (cannot be reduced). In the example 1 ms. So it is not possible to clearly distinguish one pulse from another....
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### Deblurring 1D Data Using Direct Inverse Filtering

In my assignment I have been given recorded temperature over a period of time (193 Values) and the Impulse Response (5 Values with n=0 corresponding to the middle value). data : data.csv | h = [1/16 4/...
193 views

### inverse discrete FFT in python, multiple times?

I was wondering what really happens when taking the inverse discrete FFT on some set of numbers, for 3 times? Because looking at it, it looks like we're getting an output that is identically with the ...
300 views

### Filter odd or even harmonics with notch or inverse notch filter

Hi i had the following question. I have a signal containing a 200Hz sine wave and it's odd and even harmonics (no other frequencys or disturbing signals are contained). What i'm looking for is a kind ...
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### Is the inverse of a causal system also causal?

If I have a causal system H(z) and I find the inverse of this system: $$G(z) = \frac{1}{H(z)}$$ Is G(z) also causal?
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### Problems with IFFT not being symmetrical

I have two signals, a measurement and a reference which I have performed an FFT on. They have both been windowed with a Hanning window, and now I would like to deconvolve these to get the impulse ...
I am trying to find the inverse system of the following (I tried finding the mathematical inverse function but since it is not the same I am not so sure) . Can someone help me find it? $$y(t)=\int_{... 2answers 995 views ### Is y[n]=x[n] * x[n^2] invertible? Is the following system invertible or not?$$y[n]=x[n] * x[n^2]$$where * stands for the aperiodic convolution operator. I have not been able to find a mathematically sufficient argument for it... 2answers 3k views ### Discrete time inverse fourier transform of cosine squared$$ X(\omega) = \cos^2(\omega)$$I tried this problem, and I ended up getting 0, which doesn't make any sense. I integrated:$$ x(n) = \frac{1}{2\pi}\int_{0}^{2\pi} \cos^2(\omega)e^{j{\pi}n} d\...
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 full ...