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In wireless communication system, the amplitude of the communication channel response in volts (V) is often...
4. Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to your phone bounces off numerous obstacles, causing multiple copies of the transmitted signal with different delays to arrive at your phone. These copies can add constructively or destructively, resulting in an effect called "multipath fading". The simplest (and perhaps most common) model for such is Rayleigh fading, which is a consequence of the (celebrated) Central Limit Theorem that we will leann later in the...
4. Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to your phone bounces off numerous obstacles, causing multiple copies of the transmitted signal with different delays to arrive at your phone. These copies can add constructively or destructively, resulting in an effect called "multipath fading". The simplest (and perhaps most common) model for such is Rayleigh fading, which is a consequence of the (celebrated) Central Limit Theorem that we will learn later in the...
Problem 4 A communication system accepts a positive voltage V as input and outpu voltage Y ts aV + N, where α = 0.01 and N is aGaussan random variable with parameters μ-0 and σ 2. Find the value of V that gives P[Y <0]-10-6.
4. Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to your phone bounces off numerous obstacles, causing multiple copies of the transmitted signal with different delays to arrive at your phone. These copies can add constructively or destructively, resulting in an effect called "multipath fading". The simplest (and perhaps most common) model for such is Rayleigh fading, which is a consequence of the (celebrated) Central Limit Theorem that we will learn later in the...
Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to your phone bounces off numerous obstacles, causing multiple copies of the transmitted signal with different delays to arrive at your phone. These copies can add constructively or destructively, resulting in an effect called "multipath fading". The simplest (and perhaps most common) model for such is Rayleigh fading, which is a consequence of the (celebrated) Central Limit Theorem that we will learn later in the course....
Example 38 - Consider the communication system below channel V, V>0 102 and n ~ N(0, 2). Find the value of input voltage v that gives P( Y 10-6. 0) α Example 38 - Consider the communication system below channel V, V>0 102 and n ~ N(0, 2). Find the value of input voltage v that gives P( Y 10-6. 0) α
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission of two equiprob able messages. The transmitted signal is s(t), i e {1,2} and the recieved signal is r(t) s(t)+n(t), where nit) is the AWGN with power-spectral density No/2. 1. In a block diagram, give the precise specifications of the optimal receiver. What are the characteristics of the matched filter and the sampler and decision device? 2. Find the error probability of the optimal...
(1 point) The following density function describes a random variable X F(x) = m if 0 and if 8<x< 16. Draw a graph of the density function and then use it to find the probabilities below A. Find the probability that X lies between 1 and 6. Probability B. Find the probability that X lies between 5 and 10. Probability C. Find the probability that X is less than 9. Probability D. Find the probability that X is greater than...
15. The following density function describes a random variable X. fx) (x81) if 0<x<9 and nx)-(18-x)/81 if 9<x-18. Draw a graph of the density function and then use it to find the probabilities below: a. i. Find the probability that X lies between 1 and 8. ii. Find the probability that X lies between 8 and 11. ii. Find the probability that X is less than 10. iv. Find the probability that X is greater than 7.