Felipe Augusto de Figueiredo's user avatar
Felipe Augusto de Figueiredo's user avatar
Felipe Augusto de Figueiredo's user avatar
Felipe Augusto de Figueiredo
  • Member for 7 years, 2 months
  • Last seen more than a month ago
2 votes
1 answer
600 views

Distribution of ratio between complex Gaussian and Chi-square R.V.s

2 votes
1 answer
97 views

p.d.f. of $\left| \frac{\textbf{x}^{H} \textbf{y} }{\| \textbf{x} \|^2} \right|^2$, where $\textbf{x}$ and $\textbf{y}$ are complex Gaussians?

2 votes
2 answers
143 views

Expectation of $\left| \frac{\textbf{x}^{H} \textbf{y} }{\| \textbf{x} \|^2} \right|^2$, where $\textbf{x}$ and $\textbf{y}$ are complex Gaussians?

2 votes
0 answers
477 views

Closed form expression for $Tr\left[ (\mathbf{DW})^k \right]$

2 votes
2 answers
408 views

PDF of $ | \sum_{k=1}^{n}{|h_k||g_k|\exp\left( j \theta_k \right)} |^2$ for small values of $n$ and $Q$?

2 votes
1 answer
166 views

Asymptotic analysis of an expression involving a Fox's H function

1 vote
1 answer
89 views

How to prove that $\int (1-z)^{u} z^{v} dz$ is equal to $\frac{z^{v+1}}{v+1}_2F_1(-u, v+1; v+2; z)$?

1 vote
2 answers
134 views

Inaccurate results for the analytical expression of $\mathbb{E}\left[ a \mathcal{Q} \left( \sqrt{b } \gamma \right) \right]$

1 vote
3 answers
212 views

Solution to $\int_{0}^{y} x^{-a} \exp \left[- \frac{(b - cx^{-d})^2}{2} \right] dx$

1 vote
1 answer
177 views

Is there a solution to $\int_{\theta-1}^{x} \left(\frac{y+1-\theta}{\theta} \right)^{-\frac{1}{\epsilon+3}} y^{-\frac{\epsilon+4}{\epsilon+3}}dy$?

1 vote
1 answer
131 views

Is there a solution to $\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx$?

1 vote
1 answer
107 views

Solution to $\int x^{-a} \Gamma\left( b, c x^{-d} \right) dx$

1 vote
2 answers
71 views

Expectation of $\left| \frac{(\textbf{x}+\textbf{y})^{H} \textbf{x} }{\| \textbf{x} + \textbf{y} \|^2} \right|^2$, with complex Gaussians?

1 vote
1 answer
873 views

What is the probability density function (pdf) of the dot product of M complex normal random variables?

1 vote
1 answer
172 views

Independence of Gamma and Beta random variables with common term

1 vote
1 answer
113 views

MGF of a RV that is the ratio between a complex Gaussian and a Chi-squared RVs

1 vote
1 answer
85 views

Correlation between r.v.'s following a distribution that is the ration between complex Gaussian and Chi-square r.v.'s

1 vote
1 answer
88 views

Independence of r.v.'s following a distribution that is the ratio between complex Gaussian and Chi-square r.v.'s

1 vote
2 answers
269 views

Closed expression for $\mathbb{E} \left\lbrace \Re \frac{(\textbf{x} + \textbf{y})^{H}\textbf{x}}{\| \textbf{x} + \textbf{y}\|^{2}} \right\rbrace$?

0 votes
1 answer
73 views

Expectation of ratio between product of gaussian r.v.'s and generalized gamma r.v

0 votes
1 answer
117 views

CDF of a RV that is the ratio between a complex Gaussian and a Chi-squared RVs

0 votes
2 answers
248 views

PDF of $R$ given that $R^2 = C^2 + S^2$, with $C = \sum_{j=1}^{n}{\cos \theta_j}$ and $S = \sum_{j=1}^{n}{\sin \theta_j}$ for a small $n$

0 votes
1 answer
221 views

Is the random point $(C,S)$ the same as $(1,0)+(\cos U,\sin U)=(1 + \cos U,\sin U)$, with $U$ a uniform r.v.?

0 votes
2 answers
176 views

PDF of $g = \frac{1}{n} \sum_{k=1}^{n}{|h_k|\exp\left( j \theta_k \right)}$?

0 votes
1 answer
110 views

PDF of $z = \exp(j\varphi)$, where $\varphi \sim \mathcal{U}[-a, +a]$ [closed]

0 votes
2 answers
230 views

Finding the expectation of $a \mathcal{Q} \left( \sqrt{b } \gamma \right) $, where $\gamma$ is a Gamma r.v

0 votes
1 answer
85 views

Solution or approximation to $\int x^{-a} \text{erf}\left( b - c x^{-d} \right) dx$?

0 votes
1 answer
140 views

What are the steps involved in the solution to $\int{x^{-a} (b -cx^{-d})^e }dx$? [closed]

0 votes
1 answer
282 views

How to find $\int_{0}^{\infty} \log(1+x)(x^a)\exp(-bx) dx$ step by step?

0 votes
0 answers
85 views

Lognormal PDF in terms of the Meijer-G function