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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1answer
40 views
Signal approximation using linear combination of functions
How I can approximate the signal $x(t)=0.001\,t^3 \exp(-0.1t)$ in the interval $[0,100]$ using a linear combination of the following functions:
$f_1(t)=A_1$
$f_2(t)=A_2\cos(0.05t)$
...
4
votes
3answers
159 views
Mathematically inclined Signal and Systems/Signal Processing book?
I'm an electronics engineering student with high inclination to analysis and pure mathematics. I was just wondering if there was any book ( or any resource ) that treats signal and systems and signal ...
2
votes
1answer
62 views
How to derive stability of analogue and digital systems
I'm trying to find out why digital systems are stable iff poles oh their transfer function are inside the unit circle (or are there any others conditions?).
I understand analogous systems are stable ...
3
votes
2answers
82 views
Main differences to take into account between continuous and discrete time signals
I started studying DSP and the first things that came out were the differences between continuous and discrete time signals. So, I was wondering if I understood well these concepts before I keep going ...
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1answer
40 views
Discretizing a continuous time signal
This may be a very straightforward question but I've been trying to understand this for a long time and can't wrap my head around it.
How would one go about discretizing the following continuous time ...
2
votes
0answers
53 views
Simulink continuous to discrete question
I'm new to Matlab/Simulink and would like to convert the continuous system below to discrete for eventual conversion to C code. Matlab has a c2d function, but I don't know how to apply it to a ...
1
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1answer
71 views
Sampled signal reconstruction using matlab
I have a wav file recorded from my smartphone's mic, and I want to reconstruct the sampled signal and plot the reconstructed signal. After some research and search, I was able to get the following ...
1
vote
2answers
37 views
one-source signal separation
I have a wav file which is gained by playing 2 different wav files with 2 speakers and recorded with mic. If I want to get one of the original signals using the resulting wav file and the other ...
0
votes
1answer
32 views
In a periodic square wave, how to change in a particular condition?
The periodic square wave,
$$x(t) = 1, |t| < T_1 \\
x(t) = 0, T_1 < |t| < T/2$$
What I wonder is ..
(1) If $T_1$ is constant and $T \to \infty$, is x(t) a constant function?
(2) If $T_1$ is ...
2
votes
0answers
82 views
A simpler method or more descriptive answer to the Fourier Transform
I'm trying to do a CT Fourier Transform of these two signals
$$x_1(t)=e^{−a(t−1)} \cdot u(t−1)$$
and
$$x_2(t)=e^{−a(t−1)} \cdot u(t)$$
Where $a$ is any real number, and $u(t)$ is the unit step ...
2
votes
0answers
28 views
How to model/estimate channel in discrete time with different sampling time?
I want to estimate a channel based on LTE 3GPP EVA with given power delay profile (set of average power and delay of channel taps).
...
3
votes
1answer
43 views
Estimate input from measuring only RC filtered input
I am interested in knowing the step amplitude on a signal which can only be measured through a hardware RC filter. The measured signal follows this formula:
$$
V(t) = V_0 \left(1 - ...
3
votes
2answers
125 views
Using continuous verses discrete wavelet transform in digital applications
I am familiar with much of the mathematical background behind wavelets. However when implementing algorithms on a computer with wavelets I am less certain about whether I should be using continuous or ...
2
votes
0answers
24 views
Phase space and quantization
Application of Symbolic Dynamics1,
Symbolic Dynamics&ECG papers explain how to generate a symbolic representation of a nonlinear chaotic system. Symbolic dynamics is a tool to explain the ...
3
votes
1answer
125 views
How do I use the step and ramp functions to create a specific signal?
I am trying to figure out how to use the step $u(t)$ and ramp $r(t)$ functions to create the function $f(t)$ below:
$f(x) = \begin{cases}0 & \text{for } t < 0 \\ t & \text{for }-1 \lt t ...
4
votes
3answers
152 views
creating a seamless signal / loop using interpolation
I'm trying to create a seamless loop using a "non-periodic" signal using interpolation to smooth out the beginning and the end but I'm still getting a click at the beginning when it loops and I listen ...
4
votes
0answers
55 views
Correct method for drawing waveforms
I need to draw waveforms for biometric data like ECG and EEG signals. When I have more samples than pixels at the X-axis, I need to draw a vertical line between the MIN and MAX sample-value for that ...
3
votes
1answer
139 views
Signal Processing using Fourier Transform
So I'm trying to understand how MRI machines work. I understand all the concepts of it, the parts, what they do, how the machine works, etc. The part I'm having trouble with is the fourier transform ...
1
vote
1answer
62 views
Need an Identity for CTFT Polynomial Raised to an Exponent
I need to the find the inverse continuous time Fourier transform for unitary angular frequency of the following signal:
$e^{a\omega^2 - b\omega + c}$ where $a$ and $b$ and $c$ are real numbers and I ...
2
votes
1answer
92 views
Role of Kalman filter in nonlinear dynamics
I am quite interested to know the significance of using kalman filter,unscented kalman filter and extended kalman filter in chaos synchronization when infact the very basics of chaos ...
5
votes
6answers
2k views
Deconvolution of 1D signals
I have convolved a random signal with a a Gaussian and added noise(poisson noise in this case) to generate a noisy signal . Now I would like to deconvolve this noisy signal to extract the original ...
7
votes
5answers
642 views
Why do linear systems show sinusoidal fidelity?
I am looking for a proof for sinusoidal fidelity. In DSP we study a lot about linear systems. Linear systems are homogenous and additive. One more condition it satisifies is that if a signal is a sine ...
5
votes
2answers
100 views
determine two signals with a scale factor
Suppose I have 2 signals from function $f_1(x)$ and $f_2(x)$, respectively, and assume the sampling rate is above Nyquist frequency, so we can restore the underlying functions $f_1(x)$ and $f_2(x)$. ...
6
votes
1answer
115 views
Why would I want to define a modulation index for each tone (DSB-FC)?
So the exercise is basically a signal $f(t)$ that is going to modulate the carrier $Acosw_ct$ using a modulation index of $m=1$. I have to find $A$ and the power of the modulated signal.:
...
4
votes
2answers
141 views
What should the amplitude be when plotting 1-sided Amplitude Spectrum?
I have a continuous signal x(t) such that
$x(t)=12cos(6\pi t)+6cos(24\pi t)+3cos(30 \pi t)$
and is asked to sketch a 1-sided Amplitude Spectrum of the signal x(t) if sampled above the minimum ...
3
votes
2answers
669 views
Alias frequency Formula
I'm taking a multimedia systems class in my MSc Computer Science, and I'm having some trouble understanding the formula for the alias frequency - this could stem from my misunderstanding of the alias ...
1
vote
2answers
108 views
A signal containing no pure sinusoidal components
I'm trying to decipher what exactly this statement means. So if I have a signal which has no pure sinusoidal components, does that mean I can't decompose my signal completely into sine-waves which ...
1
vote
2answers
257 views
What does it mean to combine signals coherently?
What does the expression 'combine signals coherently' imply?
7
votes
2answers
119 views
Does the inverse-CTFT exist for a dirac delta?
Does the inverse continuous time Fourier transform exist for a Dirac delta (A single causal/non-causal spike)?
3
votes
1answer
206 views
How to 'interpret' the Fourier Transform (specifically, of a convolution kernel)
As part of a homework assignment, I had to take the Fourier transform of the kernel I was using to convolve a signal. The kernel was a constant rectangular function, that was 1 within the square ...
4
votes
1answer
286 views
When convolving two functions that are constants in a region and 0 everywhere else, where does the integration start?
Heads up, this is for homework. I never took a signals and systems course, so I'm behind on this stuff.
I want to compute the convolution of two rectangular regions. I know the standard equation ...
2
votes
1answer
382 views
How does shift and scaling inside of a function affect its Fourier Transform?
The properties aren't entirely clear to me, sorry for the basic question.
I know the Fourier Transform of one function. Say, $\text{rect}(x,y) \Leftrightarrow \frac{\sin \pi u}{\pi u} \frac{\sin ...
3
votes
1answer
116 views
Is it possible to simplify the convolution integral if the functions are non-zero in disjoint areas? [duplicate]
Possible Duplicate:
When convolving two functions that are constants in a region and 0 everywhere else, where does the integration start?
I have a function $f(x,y)$ and $h(x,y)$. $f(x,y)$ ...
4
votes
1answer
705 views
Filter coefficients for colored noise Voss Algorithm
If I use a generic filter for generating colored noise like pink,brown,white then how do I modify this statement and how do I know what are the coefficients to be used in AR model for different ...
3
votes
1answer
88 views
signals comparison metrics
Am new to signal processing and was wondering when given two signals, what are the widely used statistical analysis methods to understand the relationship between them?
17
votes
2answers
496 views
Are there alternatives to the bilinear transform?
When designing a digital filter based on an analog filter we usually use the bilinear transform. To approximate a discrete transfer function $D_a(z)$ from analog (continuous) transfer function $A(s)$ ...
