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3
votes
1answer
66 views

Is there a strategy for discrete control of a system with dynamics near sample rate?

I'm trying to control a system where the controller sample rate is physically fixed and the plant has significant dynamics on the same order as the sample rate. I understand that one would prefer to ...
-1
votes
1answer
34 views

Are these Linear and Time Invariant Systems?

We were given the above systems and we were asked to tell whether they are linear (or not) and time invariant(or not). $y(m,n)=x(m,n)+c,\quad c>0$ $ y(m,n)=x(m,n)+x(m,-n)$ $y(m,n)=x(m,n+m)$ $y(m,...
0
votes
1answer
73 views

Spectrum of a time-domain impulse train

I am trying to learn DSP. I'm reading the 2nd edition of Oppenheim & Schafer's "Discrete-Time Sig. Proc." book. On the topic of converting a continuous signal to a discrete-time signal the idea of ...
0
votes
1answer
28 views

Frequency range for set of all discrete-time sinusoids

Consider discrete time sinusoids of the form $$x[n] = \cos(\omega n) \ ,$$ where $n$ is an integer. What frequency range of $\omega$ would constitute all the possible sinusoids? I'm thinking that $0\...
1
vote
4answers
125 views

Finding a signals complimentary sound / frequency

I know about complimentary colors and how to get them, since colors are basically frequency / wavelengths. Is it possible to find a signals complimentary, additive or subtractive frequencies in an ...
0
votes
1answer
44 views

Baseband vs. Passband

I am a bit confused if the following signal is baseband or passband: $f(t) = x(t) \cos(2 \pi f_c t) - j \: y(t) \sin(2 \pi f_c t),$ where $j = \sqrt{-1}$. Since it is clearly not real, I cannot say ...
3
votes
1answer
1k views

Baseband vs Passband modulation

I am taking a graduate level course in Networking theory and applications and I am still a bit shaky on the difference between baseband and pass band scheming. The book I am using is Computer Networks ...
-1
votes
1answer
140 views

Integral of unit step function [closed]

Can someone help me understand how did we get from the second line to the third one? $$\begin{align} u(t-1)*u(t) &= \int_{-\infty}^{\infty}u(\tau-1)u(t-\tau)d\tau \\ &=\int_{1}^{t}u(t-\tau)d\...
0
votes
2answers
39 views

Discrepancy when calculating LTI system output using inverse z-Transform

I'm given a difference equation, $y[n]-0.4y[n-1]=x[n]$, and asked to find the natural response $y_n[n]$, forced response $y_f[n]$ and complete response $y[n]$ if $x[n]=4 (0.25)^nu[n]$ and $y[0]=0$. ...
0
votes
1answer
179 views

BIBO stability and input at system's pole

My understanding of BIBO stability is that if a bounded input is applied to a discrete-time, linear, time-invariant BIBO system, the output will also be bounded. A sufficient condition for this is ...
0
votes
2answers
99 views

Output of a discrete-time LTI system different form than input?

This question is related to this one. I'm going through old exams for a 2nd year systems and transforms course, and came across this question. I'm posting this question just in case my other question ...
1
vote
3answers
105 views

Output of discrete-time LTI system guaranteed to be same form as input?

I know that in the continuous-time context, if I supply a complex exponential input to a Linear Time Invariant system, the output will be of the same form as the input - for example, if the input is $...
0
votes
0answers
488 views

What is the difference between wide sense and strict sense stationary processes?

What is the difference between wide sense and strict sense stationary processes (SP) ? According to the definition (by Heinrich Meyr, Marc Moeneclaey, Stefan A. Fechtel in "Synchronization, Channel ...
1
vote
2answers
119 views

Does the system matrix being singular tell us anything about the system?

If we have a linear system, represented in State Space and the A matrix is singular (det(A) == 0), can we expect any special properties from the system?
0
votes
1answer
87 views

DFT independent variable as fraction of sampling rate

When the frequency domain's independent variable is labeled as a fraction of the sampling rate, the values along the horizontal axis always run between $0$ and $0.5$, since discrete data can only ...
-1
votes
2answers
248 views

How to compute the Fourier Transform of this ramp-like signal?

I have the following signal: and this as the solution to the problem: $$\begin{align} X(j\omega) &= \int_{-\infty}^{+\infty}x(t)e^{-j\omega t}dt \\ &= \int_0^\tau \frac{E}{\tau}t\; e^{-j\...
1
vote
1answer
137 views

Is it theoretically possible to perfectly quantize a continuous signal?

So, I'm completely new to digital signal processing, but while reading a piece this morning about quantization it got me daydreaming: could a machine ever be fast enough to sample the position and ...
2
votes
1answer
75 views

Block diagram reduction

I have the following block diagram I know that it's solution is: $$\dfrac{10 K_p}{Js^2+(B+2K_pK_v)s+10K_p} $$ But when I try to derive the solution with reduction rules I get different result. ...
0
votes
4answers
166 views

Looking to educate myself in dsp theory [closed]

I'm currently studying sound design, however over the past couple of years i started creating audio effects/instruments. I have also been programming in C++ for quite some years. I noticed my ...
6
votes
3answers
601 views

Are complex exponetials the only eigenfunctions of LTI systems

Can I have an example of eigenfunctions of Linear Time Invariant(LTI) which is not a complex exponential? This document: Eigenfunctions of LTI Systems says such eigenfuctions do exist. But I am not ...
2
votes
1answer
581 views

QPSK, from Square Root Raised Cosine to Rectangular Impulse Shaping

I have implemented a QPSK modulator and demodulator using classic text-book examples: Square Root Raised Cosine Impulse shaping and Matched Filtering. The problem is that I've been told that I could ...
1
vote
1answer
1k views

CIC Filter vs Simple Downsampler

I' trying to implement a QPSK modulation/demodulation. At one point I have to decimate my signal by 4 for an easier implementation. I've read everywhere that the best way to do it is to use a CIC ...
15
votes
2answers
11k views

What is the advantage of MATLAB's filtfilt

MATLAB's filtfilt does a forward-backward filtering, i.e., filter, reverse the signal, filter again and then reverse again. Apparently this done to reduce phase ...
6
votes
3answers
923 views

Median Filter one after another

Operate on an image by performing Median Filtering in a 3x3 window. Operate on the resulting image by performing, again, Median Filtering in a 3x3 window. Can the resulting image be obtained from a ...
10
votes
4answers
271 views

Any references for the trade-off between software and mechanics/optics in industrial machine vision systems?

I explain my question with a simplified example. I can design an industrial vision system for the automatic inspection of an item with these main requirements: the image of a good piece must be a ...
13
votes
2answers
2k views

A (clear?) line between Computer vision and Image processing

I have been working in and learning about both Computer vision and Image processing for a few years now, and I believe that I am not a complete beginner any more. Still, after all these years, it is ...