# Questions tagged [continuous-signals]

A continuous signal or a continuous-time signal is a varying quantity (a signal) whose domain, which is often time, is a continuum.

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### What are some approaches / algorithms for reducing size of numerical data of large size with redundancies?

I'm dealing with bunch of .asc(ascii) files that are the output of continous monitoring of various electronic equipments for certification purposes. We monitor various parameters of the equipments ...
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### How do you find the null to null bandwidth for the signal below?

My tutor does not explain it very well. Can someone please explain to me the reasoning and what null to null bandwidth actually is?
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### Algorithm to detect down-up-down pattern in time series

I'm trying to write an online algorithm in Python to detect this below Down-Up-Down pattern in time-series. It's not hard to do roughly if I calculate 3 contiguous non-overlapping moving averages, and ...
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### Different PI controller implementations and their respective discrete transfer functions

So I need to implement a PI-controller and I found an Implementation of an PID-controller with some background explanation. I adapted the implementation to an PI-controller, implemented it and got the ...
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### How do I determine if the fundamental period $T_{x}$ exists and if so what it is?

I recently came across this $$x(t) = \cos(6t) + \sin(8t) + e^{j2t}$$ signal that I want to find the fundamental period $T_{0}$ and fundamental frequency $\omega_{0} = 2\pi f_{0} = \frac{2\pi}{T_{0}}$...
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1 vote
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### Calculation confusing of conjugate in CT fourier transform

when calculate conjugate of $$X(f)=\int_{-\infty}^{+\infty} x(t)e^{-j2\pi ft}dt ,\tag{1}$$ I can get $$X^*(f)=\int_{-\infty}^{+\infty} x(t)^*e^{j2\pi ft}dt ,\tag{2}$$ so $$F[x^*(t)]=X^*(-f).\tag{3}$$ ...
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### Product of Doublet and Arbitrary Function

We know that the product of the delta function and another function samples the latter function. That is, $$\delta(t-\tau)f(t)=\delta(t-\tau)f(\tau)$$ Does the doublet function retain this same ...
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### How to find energy of the signal $S_1(t) = \sqrt{t}$ where $t \in [-1,1]$

What is the energy of the signal $S_1\left( t\right) = \sqrt{t}$ for $t \in{[-1,1]}$ and $S_1(t) = 0$ otherwise. As all of we of us know, the energy of this signal should be finite. However this ...
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### How to determine the impulse response matrix, when zero state response is given

My understanding is that since its zero state response, the system is at rest. But what should I do after that? is there any online material to read about this ? Thank you
1 vote
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### PSD of Poissonian shot noise

I have a signal $R(t)$ that is DC with shot noise. It has units of events per second. I am trying to understand this signal in a continuous-time picture. In time-domain, I can model it as a series of ...
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1 vote
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### Proving real and odd function has imaginary and odd Fourier Transform

Cheers, I am trying to prove that a real and odd function/signal has imaginary and odd Fourier Transform. Although it seems fairly easy, I can't find a way to achieve it, and searching online hasn't ...
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### What is The Fourier Transform Formula for 1/(j*pi*t) Types?

I have old homework and solution of that but i didn't understand actually solution. Because i didn't see continous-time fourier transform formula for that. $g(t)$=$\frac{1}{j\pi*t}$ and it asks ...
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### Ideal low pass filter with cut-off B does not affect a band-limited baseband signal with maximum frequency B

Let $x(t)$ be a band-limited signal with spectrum (fourier transform) lying between -B and +B. Such a signal is not warped by an ideal low-pass filter with cut-off frequency equal or higher than +B. ...
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### Why doesn't the magnitude of Fourier Transform change when signal is shifted (i.e when a time shift is introduced)?

I understand that a time shift in the time domain produces a corresponding phase change / phase shift in the frequency domain. But I don't understand why the magnitude is unchanged (I am referring to ...
1 vote
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### Find fourier transform given the graph of a function

Cheers, I am given the following graph for $x(t)$: and I am asked to find the fourier tranform by using the integral property and knowing that $F(Π(t)) = sinc (\frac{\omega}{2\pi})$ The solution I ...
1 vote
### Find the unit-energy for $\mathrm{rect}(t/T)$?
My book says: The width-1 NRZ pulse is $$\mathrm{rect} (t) = \begin{cases} 1 , \qquad -1/2 \leq t \leq 1/2\\ 0, \qquad \mathrm{otherwise} \tag 1 \end{cases}$$ The unit-energy width-$T$ NRZ pulse ...
### What's the base and height of triangle obtained by FT{$\operatorname{sinc}^2(7\pi t)$}?
I'm a little confused about the $\operatorname{sinc}^2(7\pi t)$ function. How do you know the base and height of the triangle produced in the frequency domain only looking at the \$\operatorname{sinc}^...