3C5 Tutorial Sheet 6
Dr. David Corrigan
18 March 2011
When examining analogue modulation schemes, it is often convenient to consider an
information signal with a single tone or frequency component (ie. a sinusoidal signal). Doing
so makes power and spectr
3.60. (a) The system is not LTI. (1/2)" is an eigen function of LTI systems. Therefore, the
output should have been of the form K (1 /2)", where K is a complex constant.
(b) It is possible to ﬁnd an LTI system with this input-output relationship.
ECE 316, Fall 2005
Solutions to Problem Set 7 - for tutorials week of November 7
Lathi, Chapter 5, nos 1.3, 2.1, 2.2, 2.7, 3,2
Solution Lathi 5.1.3
(a) P M (t) = A cos(c t + kp m(t) = 10 cos(10, 000t + kp m(t). Thus kp m(t) = 3000t. If
kp = 1000, m(t)3t.
HW: Angle Modulation
1. The angle modulated signal
(t) = 10 cos (2 108t + 200 cos 2 103t).
(a) Average power.
(b) Instantaneous frequency in Hz, and modulation index.
2. Consider the angle modulated signal
(t) = 10 cos (2 108t + 3 sin 2 103t).