Derivations

Question 1

Plane Earth Loss, part I

Draw the diagram for the Plane earth loss model and find the path difference between the LoS channel and the plane earth reflected channel

Answer 1

See notes

Question 2

Plane Earth Loss, II

Find the path loss in terms of the electric field for each of the two paths and derive the simplified total path loss in the case that the transmitted beam is horizontally polarised.

Answer 2

See notes

Question 3

Plane Earth Loss, III

Find the final equation for the total path loss in the case that the transmitted beam is instead vertically polarised.

Answer 3

See notes

Question 4

Fresnel Zone, I

Derive the Fresnel radius and show how it relates to a transmit and receive link?

Answer 4

See notes