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Question 1

1vote

0answers

33views

what is the minimum number of video frames to have a clean loop for a song with a particular tempo? [duplicate]

It occurred to me to ask this question of the video SE community, but I worry about their mathematical prowess, and I'm looking for a really clean formula or algorithm for this problem.I have a song ...

S. Imp

111

askedOct 23 at 20:02

Question 2

3votes

3answers

307views

EE DSP problem regarding Hilbert transform, analytic signals, and instantaneous frequency

Sorry to import another mathematical problem from the Digital Signal Processing domain. I will try to pose the problem using notation mostly conventional for general mathematicians, not just ...

robert bristow-johnson

535

askedOct 9 at 3:05

Question 3

1vote

2answers

68views

Infinite Summation of Discrete-Time Sinusoidal $x_3[n] = \cos(\frac{\pi}{4}n)$

I recently started studying signals and systems and am trying to solve a problem where I am given the discrete-time signal$$x_3[n] = \cos\left(\frac{\pi}{4}n\right)$$I setup the problem as$$E_\...

Boltu

37

askedOct 5 at 6:14

Question 4

0votes

0answers

16views

Finding allowed period aliases from an incomplete set of discrete periodic events?

I am working with a set of time stamps at which a discrete periodic event occurs. My data set is incomplete (I do not know every time the event occurs), but it is not noisy (I have a high confidence ...

NuminousTurtle

1

askedSep 26 at 22:41

Question 5

1vote

0answers

71views

optional stopping theorem given only one-sided bound on the difference sequence?

assumptionsLet $(x_t)_{t=0}^T$ be a supermartingale, where$T\in\mathbb N_0\cup\{\infty\}$ is a stopping time with finite expectation, andthe difference sequence $(x_t - x_{t-1})_{t=1}^\infty$ is ...

Neal Young

369

askedSep 22 at 14:52

Question 6

0votes

0answers

31views

How Does Pearson’s coefficient Reveal Signals Derivatives?

I have two time-series signals, say θ₁[n] and θ₂[n], sampled at constant time intervals. To analyze their relationship, I compute the Pearson correlation coefficient over batches of N samples using ...

d3dalo

1

askedApr 16 at 16:46

Question 7

3votes

1answer

83views

Burning number and optimal burning sequences

I am reading about graph burning, which is a deterministic discrete-time process on graphs (Bonato, Anthony, A survey of graph burning, Contrib. Discrete Math. 16, No. 1, 185-197 (2021). ZBL1457.05068....

Anirudh

43

askedApr 10 at 13:37

Question 8

2votes

2answers

179views

Quadratic stabilizability of discrete-time system via LMI

This question is in relation to pages 100-101 of Boyd et al.'s Linear Matrix Inequalities in System and Control Theory.Continuous-time LTI systemUsing the standard Lyapunov equation approach, one ...

DigitalExplorations

23

askedMar 19 at 5:19

Question 9

1vote

0answers

151views

How to calculate the percentage of time that N repeating events are active simultaneously?

Given N repeating events with a fixed period of time T, where A is the first portion of T that is active, what is the total percentage of time that all N events are active simultaneously, considering ...

lnafziger

143

askedMar 16 at 17:30

Question 10

0votes

0answers

35views

Approximation of Perturbations in a Non-Hyperbolic System

I'm going to present a simple example with $n=2$ to show the question I would like to ask.Consider the discrete map $ x' = f(x) $ with a fixed point $ (\bar{x}, \bar{y}) $. Suppose the Jacobian ...

Tammy

21

askedMar 5 at 5:04

Question 11

1vote

0answers

76views

Discrete-time State Space Derivation

A common form for a discrete-time state space model is$$x(n + 1) = (I + TA)x(n) + TBu(n)$$In the derivation one arrives at,$$zX(z) = (I + TA)X(z) + TBU(z)$$Then it is said to take the inverse z ...

user1011182

175

askedFeb 28 at 12:49

Question 12

1vote

2answers

202views

How do I calculate the percentage of time that two repeating events overlap?

I have two repeating events that start at the same time but may have different periods between start times and different durations. How can I calculate the percentage of time that they are both active ...

lnafziger

143

askedFeb 28 at 4:40

Question 13

0votes

0answers

89views

What's the DTFT of a periodically extended truncated cosine?

Question: What's the DTFT (discrete time Fourier transform) of the resulting infinite length signal created by starting with $\cos(2\pi f t + \phi)$, truncating it to the range $t\in [0, 1.25/f]$, ...

empty-inch

119

askedFeb 3 at 21:56

Question 14

0votes

2answers

104views

Understanding Time Advance in Z Transforms, Control Systems and Reality?

I am trying to get an intuitive understanding of a time advance.I can see how it is done in math; I just wonder where it applies in practice and how to understand/explain it.The idea of a time ...

user1011182

175

askedFeb 1 at 13:21

Question 15

0votes

1answer

57views

Density probability for a discrete-time Markov Process

Imagine a Markov process $X_t\in[\underline{x}, \overline{x}]\subseteq [0,1]$, $t$ is discrete and $x$ is continuous. Introduce two continuous and differentiable functions $f(x)$ and $g(x)$, both ...

SicMundus

11

askedJan 30 at 17:23

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Questions tagged [discrete-time]

what is the minimum number of video frames to have a clean loop for a song with a particular tempo? [duplicate]

EE DSP problem regarding Hilbert transform, analytic signals, and instantaneous frequency

Infinite Summation of Discrete-Time Sinusoidal $x_3[n] = \cos(\frac{\pi}{4}n)$

Finding allowed period aliases from an incomplete set of discrete periodic events?

optional stopping theorem given only one-sided bound on the difference sequence?

How Does Pearson’s coefficient Reveal Signals Derivatives?

Burning number and optimal burning sequences

Quadratic stabilizability of discrete-time system via LMI

How to calculate the percentage of time that N repeating events are active simultaneously?

Approximation of Perturbations in a Non-Hyperbolic System

Discrete-time State Space Derivation

How do I calculate the percentage of time that two repeating events overlap?

What's the DTFT of a periodically extended truncated cosine?

Understanding Time Advance in Z Transforms, Control Systems and Reality?

Density probability for a discrete-time Markov Process

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