Questions on the mathematical aspects of signal processing. Please consider first if your question might be more suitable for http://dsp.stackexchange.com/
Questions tagged [signal-processing]
2068 questions
0
votes
1 answer
Signal processing and properties question
We have the relationship between input and output: $Y(k)=|x(k+1)| + x(k)+ kx(k-5)$.
Find the output of the system when $x(k)=d(k)$.
What does this output represent?
Show if the system is linear, invariant, causal, stable, etc
Edit : I am familiar…
fsdd
- 31
0
votes
1 answer
How can I plot this signal
What will be the value of this signal (specified as impulse train) , say for values of t from 0 to 6
$$g(t)=\sum_{k=- \infty }^\infty \delta(t-2k)$$
mahes
- 469
0
votes
1 answer
Differential equations signal theory question?
We have the system in the figure.I have to find the differential equation that describes the system.Now,the equation is x(k-1)-y(k-1)=y(k),but I don't understand why.I mean I have studied systems and this looks simple,but for some reason I cant put…
fsdd
- 31
0
votes
1 answer
Finding an impulse response to an inverse system of that of which an impulse reponse is given
I need to solve a bunch of these questions and would appreciate a solid direction.
I have an impulse response $h[n]=\left(\frac{1}{5}\right)^nu[n]$.
Firstly we are to find a whole number A which satisfies $h[n]-A h[n-1]=\delta [n]$.
After it is…
SteelSoul
- 159
0
votes
1 answer
LTI system response question
if figure (b) is the output of signal in figure (a) in an LTI system, how can I get the output of another signal (one in figure c) in an LTI system?
0
votes
1 answer
Kronecker delta
$D=C\cdot V$ ; C and V are both matrices and C is a square by square matrix $C_{ij}=1$ if i=j and $C_{ij}=0$ for $i\neq j$ (Kronecker delta). $\mathcal{F}^{-1} D = \mathcal{F}^{-1} C$ $ * \mathcal{F}^{-1}V $; Pleaase could some one help? what is…
armando
- 89
0
votes
0 answers
Reconstructing sine wave from samples
Suppose there is a sine wave signal, like the following:
$$V(t) = M * sin(\phi_0 + \omega*\Delta t)$$
I can have it sampled and obtain $V_1$, $V_2$ and $V_3$ at $t_1$, $t_2$ and $t_3$ such that $t_1..t_3$ is within one half-wave which would give a…
Eugene Ryabtsev
- 131
- 3
0
votes
1 answer
Why arctan equal to -90 degrees?
Can somebody show me why
$$-\arctan\left(\frac{2\pi}{1-\cos(2\pi)}\right)$$
equals to $-90^\circ$ degrees? Thanks.
0
votes
0 answers
What apps provide annotated steps of calculations?
I have mathematical formulas that I need to calculate and my question is:
What apps provide a calculation’s steps with explanations?
In Wolfram Alpha and Symbolab, I'm getting the issue as:
No Steps: Steps are currently not supported for this…
invzbl3
- 101
0
votes
0 answers
Linear phase and stability of a filter
I have a question that says that a system has N poles which are placed on the plane:
$$ {{|z-0.75\,e^{j\frac{\pi}{4}}|<0.25}} $$ and I am asked if the system is stable and if it has a linear phase. I don't quite understand this kind of writing and I…
Amazona
- 29
0
votes
1 answer
Decomposition of a Filter Transfer Function into Minimum-phase and All-pass filters
I'm currently studying Digital Signal Processing and I'm particularly focusing on filters' characteristics, specifically minimum-phase and all-pass filters. Understanding these properties and their interactions is crucial for my study and research…
MaROM
- 3
0
votes
1 answer
What does the u(t) mean within sign in signals?
I understand that within signals and math, u(t) is used to represent the unit step function. What I am confused about is the notation and the meaning behind the way that some functions are written. When for example, I have a signal which is $y(t) =…
0
votes
1 answer
0
votes
1 answer
Barlett Window - Tri function
I'm trying to understand what is meant by the following equation:
Bartlett Window (Triangle):
$$w(n)=TRI\left(\frac{2n}N\right)$$
Basically, it's the $TRI$ function, since, mathematically I don't know how to represent this.
The other equation to…
Phorce
- 219
0
votes
0 answers
Relationship between dft and dtft.
Let X(e jω) is the DTFT of a discrete-time signal x[n] given as x[n] =(1/3)^n u[n].Determine a 6-point causal sequence a[n] whose 6-point DFT A[k] is the 6 samples of the DTFT X(ejω) such that A[k] = X(ej2πk/6 ) for k = 0, 1. . , 5 can I find the…
