# 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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### 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 ...
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### 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 $T_{LO}$ ...
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### 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 ...
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### 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.
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### 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
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### 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 ...
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### 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 ...
1 vote
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### Implementing signal processing techniques for consistent RSSI signal reception

I've tried to optimize the LoRa setup using Arduino IDE libraries to ensure accurate or acceptable RSSI measurements and for distance estimation between multiple nodes and a master in an outdoor ...
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### Signal plotting on a paper

I needed help in plotting this in a paper, I have 2 signals: x(t) = 4 Tri ((t + T) / 2T) x(t) = sin((2 pi t)/ T).rect((t - 3T) / 2T) I have added my solutions to these signals in the attached image, ...
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### How do i know which operations transformed a signal?

I am doing an undergrad assignment and one of the exercises is as follows: Given the following signal $x(t)$: and another signal $y(t)$ which was transformed from $x(t)$: Describe $y(t)$ in function ...
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### Multiplication of function with Dirac impulses: sketch signal

I should sketch the signal below: I think I should use delta dirac function sampling theorem but I don't know how in this special case I know that $x(t)δ(t-t_{0})=x(t_{0})δ(t-t_{0})$ but I don't have ...
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### OFDM: From DFT to time-continuous signal

I try to write down the equations that show how constellation symbols (PSK, QAM etc.) are modulated into a time-continuous signal. I read the articles referenced at the end. However, I am still stuck ...
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### Orthogonal signals basics [closed]

Suppose we have 2 orthogonal signals $x_{1}(t)$ and $x_{2}(t)$ and we add them up. Can we always say that the resulting signal will be of this form: $$x_{3}(t)=x_{1}(t)+jx_{2}(t)$$ ? If that is true ...
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### Sinus Pattern analysis

i have 1000 data which range between 50 and 180 ( heart BPM data in a day) how can i measure its similarity to a Sinus pattern? for example, for 20th recorded data (for example it is 60BPM), evaluate ...
1 vote
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### Does bandwidth include negative frequencies?

I've seen countless definitions of bandwidth that disregard negative frequencies. Is that done due to the symmetrical nature of a certain signal eg. a cosine or due to the inherent lack of meaning ...
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### Why do complex signals and their real world equivalents have different measurements of power?

My understanding is that the relationship between complex signals and real signals is such that for some complex signal $f(t) = s(t) \cdot e^{j2\pi f_c}$, the actual broadcast signal sent through the ...
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### Incorrect epoch labelling

I am processing an EEG signal acquired by showing 10 image of each of 40 classes. I want to label the signals converted to epochs to their corresponding class labels. The ...
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### How do I reduce a block diagram with just a line as a feedback loop, I dont get how it adds K to the denominator

How do I reduce a block diagram with just a line as a feedback loop, I dont get how it adds K to the denominator. The bottom equation is supposed to be the answer.