{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

practiceexam2

# practiceexam2 - (15 pts 1 Compute the energy E<>0 and...

This preview shows pages 1–11. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (15 pts) 1. Compute the energy E<>0 and the power POO for the CT signal ma) : 61(2t+%)l (Justify your answer.) (15 pts) 2. An LT I system has unit impulse response Mn] 2 Compute the system’s response to the input = (\$714 (Justify your answer.) as \ \\\s;{/ #6"; 3x1» _. g; (20 pts) 3. Consider the system Whose input ﬁt) is related to the output y(t) by the equation y(t) = a:(t A 3) + \$(3 — t). a) Check all properties that that hold for this system. (No justiﬁcation needed.) memoryless linear causal stable b) Is the above system time invariant? Answer yes/no and justify your answer . Egﬁémﬁ (15 pts) 4. Suppose we are given the following information about a Signal 1. is a real and even signal. 2. X[n] has period N : 10 and Fourier coefﬁcients ak. 3. (Lu : 5. 4. 11—0 2:20 z 50. Find (Justify your answer.) \ (1 {51%;} ‘é‘e 5/} _ (ed \ (W W??? ‘3 A “MfﬁfﬁﬁffiffiT311if?f“::f'*t::°f?7::=:iér: (15 pts) 5. Consider a continuous—time LTI system Whose frequency response is Hm) = 00 h(t)e'jwtde : 5mg”). If the input to this system is a periodic signal 1, 0§t<4 M0:{—4,4gt<8 with period T = 8, determine the corresponding system output y(t). FWST gll’lt’i irijgmmgﬁn; SQH€\$ (Mimi?) (Q On: \$31—Hiyo‘; [lth The value of all may be obtained witth. ( l) ' «with n = 1; thus T 2 T/4 3T/4 a1:—1—.(Vf cosmotdt— Vf coswotdt—l— VI 1 0 cos wot dt) T/4 3T/4 REE . 901.4. 3cooT_ . (DDT) _ . 3cooT)] _on[sm 4 sm 4 sm 4 + smon sm 4 Since cooT = 27:, we obtain for al a1=%(1+2+1)=4—n‘5 Applying the same procedure for all n, we ﬁnd that +4", n=1,5,9,... mt r ‘1": ‘4V, n=3,7,11,... rm . O, n =4 even integers b” :2 0, all n Thus the Fourier series is 120‘) = ill/(cos wot *7“ a} cos Scoot + gzcos Swot —— J, eds 7coot —|— . . .) _m . a - 2 Lei M1233“? 357 (H) W” 3% ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 11

practiceexam2 - (15 pts 1 Compute the energy E<>0 and...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online