(New page: ==Question from ECE QE CS Q1 August 2000== ---- ==Share and discuss your solutions below.== ---- =Solution 1 (retrived from [[ECE600_QE_2000_August|her...) |
|||
| Line 1: | Line 1: | ||
==Question from [[ECE_PhD_QE_CNSIP_2000_Problem1|ECE QE CS Q1 August 2000]]== | ==Question from [[ECE_PhD_QE_CNSIP_2000_Problem1|ECE QE CS Q1 August 2000]]== | ||
| + | A RV is given by <math class="inline">\mathbf{Z}=\sum_{n=0}^{8}\mathbf{X}_{n}</math> where <math class="inline">\mathbf{X}_{n}</math> 's are i.i.d. RVs with characteristic function given by <math class="inline">\Phi_{\mathbf{X}}\left(\omega\right)=\frac{1}{1-j\omega/2}.</math> | ||
| + | '''(a)''' Determine the characteristic function of <math class="inline">\mathbf{Z}</math> . | ||
| + | |||
| + | '''(b)''' Determine the pdf of <math class="inline">\mathbf{Z}</math> . You can leave your answer in integral form. | ||
| + | :'''Click [[ECE_PhD_QE_CNSIP_2000_Problem1.4|here]] to view student [[ECE_PhD_QE_CNSIP_2000_Problem1.4|answers and discussions]]''' | ||
---- | ---- | ||
==Share and discuss your solutions below.== | ==Share and discuss your solutions below.== | ||
Revision as of 08:54, 27 June 2012
Contents
Question from ECE QE CS Q1 August 2000
A RV is given by $ \mathbf{Z}=\sum_{n=0}^{8}\mathbf{X}_{n} $ where $ \mathbf{X}_{n} $ 's are i.i.d. RVs with characteristic function given by $ \Phi_{\mathbf{X}}\left(\omega\right)=\frac{1}{1-j\omega/2}. $
(a) Determine the characteristic function of $ \mathbf{Z} $ .
(b) Determine the pdf of $ \mathbf{Z} $ . You can leave your answer in integral form.
- Click here to view student answers and discussions
Solution 1 (retrived from here)
Solution 2
Write it here.
