Unformatted text preview: = 3 π
A( 23 ) = π
3 π
α( 23 ) = 14. [4 points]: Provide a careful and fully labeled sketch of A(Ω) below, for Ω in the interval
[−π, π ]. 6.02 Fall 2012, Quiz 2 Page 11 of 17 15. [3 points]: Suppose the input to the system is x// [n] = cos(2π n + θ0 ) . Write down an explicit
3
expression for the corresponding output y // [n]. y // [n] = 16. [3 points]: Suppose the input to the system is now x/// [n] = cos(π n + θ0 ) . Write down an
3
explicit expression for the corresponding output y /// [n]. y /// [n] = 17. [2 points]: For the special case of θ0 = 0 in the preceding two problems, show that you recover
the results you obtained in the last section (Problems 8 and 9). If you don’t, then you have some
checking (or explaining!) to do. Page 12 of 17 6.02 Fall 2012, Quiz 2 IV Spectre in the Mirror Given a real signal x[·] with DTFT
∞
0 X (Ω) = x[m]e−j Ωm = X (Ω)ej ∠X (Ω) , m=−∞ let v [·] denote the signal obtained by timereversing x[·], so v [n] = x[−n].
18. [4 p...
View
Full
Document
This document was uploaded on 03/17/2014 for the course ELECTRICAL 6.02 at MIT.
 Fall '12
 GeorgeVerghese

Click to edit the document details