Hi,
I'm working on a school simulation project and I'm stuck and would appreciate some help/hint/advice. I'm not a communications student and this is my first class in this area, I'm more of an analog guy...Anyway, the problem is:
A one dimensional linear array of 10 (M=10) sensors spaced d = lambda/2 (lambda = wavelength) apart from each other. Desired signal and interference are pure sinusoidal with the same frequency. Desired signal coming from the boresight and interference coming from an angle phi = 50 degrees. The signal to interference ratio is - 30dB and the signal to noise ratio is -10dB.
a) compute the optimal weight of the array using Minimum Variance Distortionless Response.
b) Compute and plot the antenna pattern in dB
What I have right now is R_s = 10x10 matrix of all 1s (given by professor), R, the correlation matrix = R_s + R_I + I_w. I'm working on R_I and need to find out what I_w is. I also have s(theta), I think, please see below for eqn used.
Also the equation I'm using for part a is, with electrical angle = theta:
w_optimal = (inv(R)*s(theta))/(hermitan of s(theta)*inv(R)*s(theta))
where theta = 2pi*d/lambda*cos(phi)
and s(theta) = transpose([1, exp(-j*theta,...,exp(-j*(M-1)*theta])
I'm sure this is a little difficult to read the equations typed out so my apologies.
One particular question I have though is how do I find d or do I need to even have a numerical value for d?
I'm using MATLAB for all the calculations and what not.
Thank you and I hope to hear back from you guys. I'm not asking for the complete solution here by the way, just something to get my back on track as I am currently at a wall.
Thanks again
I'm working on a school simulation project and I'm stuck and would appreciate some help/hint/advice. I'm not a communications student and this is my first class in this area, I'm more of an analog guy...Anyway, the problem is:
A one dimensional linear array of 10 (M=10) sensors spaced d = lambda/2 (lambda = wavelength) apart from each other. Desired signal and interference are pure sinusoidal with the same frequency. Desired signal coming from the boresight and interference coming from an angle phi = 50 degrees. The signal to interference ratio is - 30dB and the signal to noise ratio is -10dB.
a) compute the optimal weight of the array using Minimum Variance Distortionless Response.
b) Compute and plot the antenna pattern in dB
What I have right now is R_s = 10x10 matrix of all 1s (given by professor), R, the correlation matrix = R_s + R_I + I_w. I'm working on R_I and need to find out what I_w is. I also have s(theta), I think, please see below for eqn used.
Also the equation I'm using for part a is, with electrical angle = theta:
w_optimal = (inv(R)*s(theta))/(hermitan of s(theta)*inv(R)*s(theta))
where theta = 2pi*d/lambda*cos(phi)
and s(theta) = transpose([1, exp(-j*theta,...,exp(-j*(M-1)*theta])
I'm sure this is a little difficult to read the equations typed out so my apologies.
One particular question I have though is how do I find d or do I need to even have a numerical value for d?
I'm using MATLAB for all the calculations and what not.
Thank you and I hope to hear back from you guys. I'm not asking for the complete solution here by the way, just something to get my back on track as I am currently at a wall.
Thanks again