Signal Processing Stack Exchange
Signal Processing Stack Exchange

Questions tagged [discrete-signals]

A discrete signal or discrete-time signal is a time series consisting of a sequence of quantities.

Discrete signal is a type series that is a function over a domain of discrete integral.

Unlike a continuous-time signal, a discrete-time signal is a function of a continuous argument. However, it may have been obtained by sampling a continuous-time signal, and then each value in the sequence is called a sample. When a discrete-time signal obtained by sampling is a sequence corresponding to uniformly spaced times, it has an associated sampling rate; the sampling rate is not apparent in the data sequence, and so needs to be associated as a separate data item.

Source: Wikipedia.

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Is wavelet analysis useful for 1D signals?

Wavelets seem to be very useful for image processing. Assuming that I'm only ever going to study signals of time, i.e. 1D signals, should I still take a course in wavelet analysis? Are they applicable to 1D signals?
Andreas
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How can output sequence be equal to the sum of copies of the impulse response, scaled and time-shifted signals?

I am sorry, this is a very basic question. But i am having hard time understanding is how it is possible. I know impulse response is the output of the system when impulse sequence is given as input with initial conditions set to 0. Scaling is to…
sarbjit
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Open access signal processing journal?

Signal processing is Elsevier, so it's not open access, and IEEE Transactions on Signal Processing is also not open access. I was wondering if there's any decent journal on par with those that's open access. I'm trying to submit a paper on discrete…
Memming
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Questions about discrete signal energy calculation

I'm looking at the definition of signal energy (e.g. Wikipedia, cnx.org). For discrete signals, it's defined like the following, where $x(n)$ holds the signal: $ Energy = \sum_{n=-\infty}^{\infty} |x(n)|^2 $ So my questions: For a windowed,…
stackoverflowuser2010
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EWMA based differential that is strictly positive on strictly increasing irregular time series?

Let's say I have a time series $ \{t_i, x_i\} $ where the $x_i$ are strictly increasing and the $t_i$ are not regularly spaced. I can define a differential operator as $$ \Delta_i = \frac{x_i-x_{i-1}}{t_i-t_{i-1}} $$ but that is very noisy. Müller…
Brian B
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There appears to be a contradiction with the recurrence solutiom

Consider the equation : $$ y[n]-\frac{1}{2}y[n-1]=x[n] $$ where $x[n]:=\left(\frac{1}{3}\right)^{n}u[n]$. First, I founded the homogenous solution $y_{h}:=A\frac{1}{2^{n}}$ $$ y_{h}[n]=\frac{1}{2^{n}}y[0] $$ where I insist $A=y[0]$. Furthermore, The…
SPARSE
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Chopping up and averaging a signal

I have a 1D signal that is roughly periodical (but not exactly) - think of some kind of motion that someone performs repeatedly, and which is measured by some sensor. I am looking for a way to automatically chop up the signal into the individual…
koletenbert
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Integration with infinite/finite limits as a form of summation in DSP notation for discrete signals

While reading some DSP literature, I've noticed integrals of the following form. An example integral (Equation 7.17) is given on pg. 124 of a book that I've found very challenging to read (Seismic Inverse Q filtering): $u(t) = h(t)\int\limits_{ -…
Nicholas Kinar
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Zero State and Zero Input Responses from Steady State Response

Let a linear, time-invariant, causal discrete linear system be described by the following difference equation: $$y[n] = 0.9y[n-1] + 0.1x[n]$$ Assuming that $y[-1]=2$ and $x[n]=20\cos(\Omega n)u[n]$, $\Omega = \omega T_s = 0.2\pi$, find the total…
MCarsten
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Measure Sine Wave Amplitude from ADC Signal

Question I'm trying to do some DSP that I have never done before and a nudge into the right direction would come in handy. The context is replication of this project. The system architecture is the following: An excitation signal is generated by a…
Simon
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What is the best file format to save short signal samples?

We have the need to save signal samples measured with an arbitary sampling rate. The samples are usually about one second in duration. Currently we save them in a text file format which consumes a lot of disk space and is very slow. Also this type…
kor_
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Eigenfunctions of discrete-time LTI systems

Given a discrete-time signal x[n], how does one determine if it is an eigenfunction of a stable, discrete-time LTI system? For example, consider $5^nu[n]$ $2^nu[-n-1]$ Intuitively, second one seems to be an eigenfunction of an LTI system while…
stillanoob
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How to convert A/D data to the needed representation

I have an Analog-Digital Converter used for getting digital data from LoadCell scales. In order to use this data in my formulas I need to convert that data to the millimeters. But how do I do it?
maximus
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Power or Energy Signal?

Can you tell me whether the following signal is a energy or power signal? $$ x(n) = e^{j (n \pi/2 + \pi/8) } $$ I've solved it and found it as it was neither power nor energy signal was that right?
Gowtham
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Why the power of periodic signal is square?

I have DSP in my academics and while going through the video lectures i am stuck regarding power of periodic signal. Its mentioned as $$P_{\text{avg}}= \frac{1}{N}\sum_{n=0}^{N-1}|x(n)|^2$$ my doubt is why we have to mention $|x(n)|$ as square…
Raja G
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