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.
819
questions
2
votes
1
answer
20
views
The zero-state response of a linear-constant-coefficient-differential-equations (LCCDE) with non-zero initial conditions
I have started to learn about signals and systems, and my textbook is the second edition of Signals & System by Alan Oppenheim. I got really confused about the solution of linear constant ...
- 21
0
votes
0
answers
45
views
Please solve this problem from Signals & Systems , u(t) is step signal?
Please solve this problem from Signals & Systems , u(t) is step signal
- 11
0
votes
2
answers
30
views
Measurement to compare the width of the autocorrelation peak
I would like to know if there is a metric to compare the autocorrelation peak width of one signal with the peak width of another signal. Additionally, what does it mean to have a broad autocorrelation ...
1
vote
1
answer
38
views
does extension to reals of an arbitrary signal with a zero tail eventually cross a threshold
Suppose I have a sampled signal $S(x) :=\space [ \space ..., X_{-2}, \space X_{-1}, \space 0, \space 0, \space 0, \space 0, \space ... \space ]$
where $\{X\}_{n}$ is bounded by $\pm1$ when n is a ...
- 111
0
votes
0
answers
21
views
Sinc droop in a simple sampling mixer
This question is about the conceptual interpretation of a track-and-hold mixing operation implemented conceptually below, where an output $y(t)$ tracks an input $x(t)$ for half of a period $T_{LO}$ ...
- 349
-1
votes
1
answer
32
views
Statement on detectability based on relative height of abs max of spectrum
I have $2$ signals $s(t)$, $z(t)$ with the same energy $E(|s(t)|^2)=E(|z(t)|^2)=1$. However, the maxima of the signal spectra obtained with Fourier transforms verify: $\max(|S(f)|^2) \leq \max(|Z(f)|^...
1
vote
0
answers
42
views
GNU radio create custom source
I want to implement the signal $$x(t)=4\cos2t+5\sin30t+5$$ $$0<=t<1$$
GNU Radio has source blocks:
but the waveform is continuous over time,I want it to start at $t=0$ and end at $t=1$. What ...
0
votes
0
answers
21
views
Discontinuous functions convolution
Suppose we have these function:
I am trying to find their convolution.Since they are both discontinuous when you use the sliding window technique to find the convolution , depending on where t is the ...
- 11
0
votes
1
answer
65
views
Autocorrelation function of a Gaussian random signal
Im a beginner at signal processing and I've gotten the following question in an exercise:
"Write down the equation for a Gaussian probability density distribution and relate the different
...
1
vote
1
answer
68
views
Finding the impulse response of an c.t LTI system through the step response
Say we have a continuous LTI system of which we know the analytical expression of its step response. Let's call it $y_{\text{step}}(t)$. Having $y_{\text{step}}(t)$ (and therefore also $Y_{\text{step}}...
- 139
1
vote
1
answer
95
views
Impulse response of a causal LTI system without using Laplace transform
I have this differential equation that models a causal LTI system:
$$
\ddot{v}(t) - \dot{v}(t) - 2v(t) = \ddot{u}(t) + 2\dot{u}(t) + u(t)
$$
I was asked to find the impulse response both by using ...
- 13
0
votes
0
answers
26
views
Fourier transform processing of iq data
I want to perform fourier transform on the iq data that is taken from spectrum analyzer. The purpose is to estimate phase noise from iq data.
- 1
0
votes
0
answers
44
views
Smoothing sensor signal with discontinuities on DSP for obtaining signal derivative
I am trying to implement PID control on a sensor signal that has many discontinuities in it. Due to these discontinuities, the differentiated signal does not provide a meaningful or useful signal I ...
1
vote
1
answer
45
views
Doubt on LTI systems (Zero input-Zero Output)
So, I have a problem where the input and output of a system are given :
\begin{align}
x(t) &= \sin(10t) \\
y(t) &=5\cos(10t+\frac{\pi}{6})
\end{align}
So, I need to determine whether this ...
- 11
0
votes
1
answer
46
views
How to design a system that stretches input by factor of 2?
In general, How do we design a system that takes input x(t) and outputs x(t/2)? I know that if system outputs x(t/2) then the frequency domain of output signal has the form X(2f). But what should be ...
