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a)<br> | a)<br> | ||
Because <math>x[-n]=x[n]</math> <math>y[-n]=y[n]</math><br> | Because <math>x[-n]=x[n]</math> <math>y[-n]=y[n]</math><br> | ||
| − | <math>r_{xy}[l]=x[l]\ast Y^{\ast}[-l]=x[-l]\ast Y^{\ast}[l]=Y[l]\ast x | + | <math>r_{xy}[l]=x[l]\ast Y^{\ast}[-l]=x[-l]\ast Y^{\ast}[l]=Y[l]\ast x^{\ast}[-l]=r_{yx}[l]</math><br> |
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[[QE2011_CS-2_ECE538|Back to QE CS question 2, August 2011]] | [[QE2011_CS-2_ECE538|Back to QE CS question 2, August 2011]] | ||
[[ECE_PhD_Qualifying_Exams|Back to ECE Qualifying Exams (QE) page]] | [[ECE_PhD_Qualifying_Exams|Back to ECE Qualifying Exams (QE) page]] | ||
Revision as of 10:49, 19 February 2019
Communication Signal (CS)
Question 2: Signal Processing
August 2011 Problem 2
Solution
a)
Because $ x[-n]=x[n] $ $ y[-n]=y[n] $
$ r_{xy}[l]=x[l]\ast Y^{\ast}[-l]=x[-l]\ast Y^{\ast}[l]=Y[l]\ast x^{\ast}[-l]=r_{yx}[l] $
