29:106/186 RADIO ASTRONOMY
Fifth Homework Set...February 24, 2000
Due: March 1, 2000
(1) The joint probability density of two variables x and y is
with 
. What is the value of <xy>?
(2) The autocorrelation function of a signal has the form
with 
. What is the power spectrum of the signal?
(3) You are making radioastronomical observations with a receiver having a system temperature of
70 K. The IF bandwidth is 20 MHz. What kind of integration time must you use to detect an astronomical
source which gives an additional noise temperature (the antenna temperature) of 0.010 K?
(4) Show that for the output y(t) of a square law detector
where the probability density for y is given by equation 4.35.
(5) Obtain a numerical value for the parameter 
defined in class.