### Path Loss Measurements and Calculations**Homework 1** 1. The following table lists a set of empirical path loss measurements. Assume a carrier frequency \( f_c = 2 \) GHz.| Distance from transmitter | Path Loss (PL) ||---------------------------|----------------|| 5 m | 60 dB || 25 m | 75 dB || 65 m | 90 dB || 110 m | 105 dB || 400 m | 115 dB || 1000 m | 130 dB |**Tasks:**a. Find the parameters of a single-slope path loss model plus log-normal shadowing that best fit this data assuming \( P_{L} \) is calculated from free-space path loss at the referenced distance \( d_0 = 1 \) m.b. Find the path loss at 2 km based on this model.c. Find the outage probability at a distance assuming the received power at \( d \) due to path loss alone is 10 dB above the required power for non-outage.---**Explanatory Details:**- **Path Loss (PL):** This is the reduction in power density of an electromagnetic wave as it spreads out from a transmitter. The values are provided in decibels (dB). - **Distance from transmitter:** This indicates how far a receiver is situated from the transmitter, measured in meters (m).- **Carrier Frequency:** The frequency of the carrier wave used for transmission. In this case, it is specified to be 2 GHz.**Steps to Solve:**- For **Task a**, determine the parameters such as the path loss exponent and shadowing deviation by fitting the given data to a single-slope path loss model, which uses the measured distances and corresponding path loss values.- For **Task b**, apply the derived model to calculate the path loss at a distance of 2 km.- For **Task c**, use the model to analyze the probability of signal outage based on the specified conditions.This assignment will enhance understanding of empirical measurements and modeling of signal degradation with distance, which is critical in network planning and optimization.

Homework 1 1. The following table lists a set of empirical path loss measurements. Assume a carrier frequency fc = 2 GHz. Distance from transmitter P/Pt 5 m 60 dB 25 m -80 dB 65 m -105 dB 110 m -115 dB 400 m 135 dB 1000 m -150 dB a. Find the parameters of a single-slope path loss model plus log-normal shadowing that best fit this data assuming K is calculated from free-space path loss at the reference distance dr = 1 m. b. Find the path loss at 2 km based on this model. c. Find the outage probability at a distance d assuming the received power at d due to path loss alone is 10 dB above the required power for non-outage.

Homework 1 1. The following table lists a set of empirical path loss measurements. Assume a carrier frequency fc = 2 GHz. Distance from transmitter P/Pt 5 m 60 dB 25 m -80 dB 65 m -105 dB 110 m -115 dB 400 m 135 dB 1000 m -150 dB a. Find the parameters of a single-slope path loss model plus log-normal shadowing that best fit this data assuming K is calculated from free-space path loss at the reference distance dr = 1 m. b. Find the path loss at 2 km based on this model. c. Find the outage probability at a distance d assuming the received power at d due to path loss alone is 10 dB above the required power for non-outage.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Q3/ If the modulation is 100 percent calculate the impedance of the and the total power when the carrier signal ve = antenna 40sin(30000nt) and Psb 50watts .
Q5: A directional coupler has the scattering matrix given below. Find the return loss, coupling factor, directivity, and insertion loss. Assume that the ports are terminated in matched loads. [S] = 0.15/45° 0.85290° 0.85290° 0.15445° 0.006290° 0.22180° 0.006490° ¹0.006290° 0.22180° 0.22180° 0.006290° 0.22180° 0.15445° 0.85290° 0.85290° 0.15/45°
For a Transmission line, draw the equivalent model & derive voltage and current expression. A transmission line has primary constant R= 0.1 ohm per meter,, G=0.02 mho per meter, L=0.01 micro Henry per meter and C= 100 pico Farad per meter. Find the characteristic impedance (Z0 ) at 5 GHz.
Suppose you have a receiver whose sensitivity is -100 dBm (minimum received power with which it can operate) and a signal is transmitted to it at a power of 1W. At both ends of the link there are antennas with 3dB gains; installed at heights of 5 and 1 meter, respectively. The stage is flat terrain with no obstacles. What is the maximum distance that these transmitters can be separated? Assume an operating frequency of 700 MHz.
Microwave
required to analyze the Microwave networks and derive the S-parameters Why S-Parameters are with proper mathemati cal equations?
7 Basic path loss. Find the basic path loss for communication between two points, 2000 km apart, at a frequency of 5 GHz.
circuits 35 36
C= 1 microfared.. Please answer in short like it definitely don't reject in shorts please... Please answer.
I need the answer as soon as possible