quiz11_08

quiz11_08 - · ¸ + j a 2 j ² je j n ² je ² j n ( ) + b...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
ECEN 487 QUIZ 11 NAME:____KEY______ 1.(10) What is the frequency causal analytic signal, x a [ n ], which corresponds to the real signal x [ n ] = a sin ± 0 n + b co s 1 n , o ± 1 ? Draw a block diagram to show how x a [ n ] can be generated from x [ n ]. x i [ n ] is just a 90 ° phase delay of x r [ n ] , so x a [ n ] = x r [ n ] + jx i [ n ] = a s in 0 n + b co s 1 n + j (- a cos 0 n + b sin 1 n ) or: x [ n ] = a 2 j e j 0 n ² e ² j 0 n () + b 2 e j 1 n + e ² j 1 n () x a [ n ] = a 2 j e j 0 n ² e ² j 0 n () + b 2 e j 1 n + e ² j 1 n () ³ ´ µ
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: · ¸ + j a 2 j ² je j n ² je ² j n ( ) + b 2 ² je j 1 n + je ² j 1 n ( ) ³ ´ µ ¶ · ¸ = a j e j n + be j 1 n-j times positive frequency, j times negatiave frequency terms. Hilbert Transform x a [ n ] x [ n ] x r [ n ] x i [ n ]...
View Full Document

This note was uploaded on 03/16/2012 for the course ECEN 487 taught by Professor Dr.brianjeffs during the Winter '12 term at BYU.

Ask a homework question - tutors are online