- #1
SMOF
- 75
- 0
Hello,
I hope I am posting this is in the right section. It is not a home work question, it is from a solution to a tutorial, and I just cannot see how the lecturer has gotten from one step to the next. If I don't get the solution here, I will ask him, but that will be later next week, and I would like to understand it now.
Anyway. It is a question relating to a digital signal processing class, and we were asked to show analytically that
w(t) = r cos(100t+∅).
In the question, we are told that x(t) = cos(100t) and y(t) = cos(100t + [itex]\pi[/itex]) where w(t) = x(t) + y(t).
The part I am having an issue with is from this line
2w(t) = ej100t + e-j100t + ej100t + pi/3 + e -j100t - pi/3
To this line
2w(t) = ej100t(ejpi/3+1) + e-j100t(e-jpi/3+1)
I am sure it is a pretty basic step, but I just cannot see it, and I have no issues with other harder sections, but this is just a mental block for me.
Thanks in advance for any help you can gove me.
Seán
I hope I am posting this is in the right section. It is not a home work question, it is from a solution to a tutorial, and I just cannot see how the lecturer has gotten from one step to the next. If I don't get the solution here, I will ask him, but that will be later next week, and I would like to understand it now.
Anyway. It is a question relating to a digital signal processing class, and we were asked to show analytically that
w(t) = r cos(100t+∅).
In the question, we are told that x(t) = cos(100t) and y(t) = cos(100t + [itex]\pi[/itex]) where w(t) = x(t) + y(t).
The part I am having an issue with is from this line
2w(t) = ej100t + e-j100t + ej100t + pi/3 + e -j100t - pi/3
To this line
2w(t) = ej100t(ejpi/3+1) + e-j100t(e-jpi/3+1)
I am sure it is a pretty basic step, but I just cannot see it, and I have no issues with other harder sections, but this is just a mental block for me.
Thanks in advance for any help you can gove me.
Seán