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9. (3 marks) The probability density of received power for multipath Rayleigh fading is given by...
1. For the GMSK modulation, as for the following plot, determine the fading margins for minimum probability of error of 10-4 and 10-5. 10-1 10-2 GMSK (BT-0.3): Rayleigh fading 10-3 10-4 GMSK (BT-0.3)...
1. For the GMSK modulation, as for the following plot, determine the fading margins for minimum probability of error of 10-4 and 10-5. 10-1 10-2 GMSK (BT-0.3): Rayleigh fading 10-3 10-4 GMSK (BT-0.3): No fading 10-5 5 10 15 20 25 30 35 4045 50 Signal-to-noise ratio (dB)
1. For the GMSK modulation, as for the following plot, determine the fading margins for minimum probability of error of 10-4 and 10-5. 10-1 10-2 GMSK (BT-0.3): Rayleigh fading 10-3 10-4 GMSK...
4. Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to...
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...
If the threshold power is -95dBm and the lognormal fading standard deviation is 6dB, what is...
If the threshold power is -95dBm and the lognormal fading standard deviation is 6dB, what is the least average received power needed to give no more than 2% outage probability?
Question 4: a) Given the following received signal z vAS b+w where w is the white...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
4. Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to...
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 2: In this problem we explore the power penalty involved in going to higher level signal ...
Problem 2: In this problem we explore the power penalty involved in going to higher level signal modulations, i.e. from QPSK to 16PSK. (a) Find the minimum distance between constellation points in 16PSK modulation as a function of signal energy Es. (b) Find aM and BM such that the symbol error probability of 16PSK in AWGN is approximately (c) Using your expression in part (b), find an approximation for the average symbol error probability of 16PSK in Rayleigh fading in...
6. The probability density function of (lifetime of an electronic component in years) X is f, (x)...
6. The probability density function of (lifetime of an electronic component in years) X is f, (x)- 4 x exp(-r)U(x) 32 (a) What value of A will make this a valid pdf? (b) What is the probability that it will fail within 6 years, given that normally these units tend to fail within 4 to7 years? (c) What is P[IX-316)? (d) If the unit is known to fail within 6-8 years, what is the probability that it fail within 7...
Wireless Communications: Background: Per recitation, a wireless communication signal traveling from a cellphone tower to your...
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....
----JAVA IMPLEMENTATION URGENTLY NEEDED ------ //Ques 3 /** * Computes the standard Rayleigh distribution probability density...
----JAVA IMPLEMENTATION URGENTLY NEEDED ------ //Ques 3 /** * Computes the standard Rayleigh distribution probability density function (The mathematical function describing the standard Rayleigh distribution is given by: y = [ x / (σ)^2 ] * e ^ [ (-x^2) / (2σ^2) ] where σ =sigma is the scale variable of Rayleigh distribution. The function y is called the probability density function of the standard Rayleigh distribution. Complete the method rayleigh(double x, int sigma) that returns the value of y...
i need clear writing 3. (9 Marks) The length of time required by students to complete...
i need clear writing
3. (9 Marks) The length of time required by students to complete a coe-hour exam is a random variable with a probability density function (pdf) given by 1) = c +2 OSX S1 a) Find the value and write down the new pdf. (2 points) b) Find the probability that a randomly selected student will finish in less than half an hour. (3 points) c) Find the mean and standard deviation of the distribution. (4 points)...
1. For the GMSK modulation, as for the following plot, determine the fading margins for minimum probability of error of 10-4 and 10-5. 10-1 10-2 GMSK (BT-0.3): Rayleigh fading 10-3 10-4 GMSK (BT-0.3): No fading 10-5 5 10 15 20 25 30 35 4045 50 Signal-to-noise ratio (dB)
1. For the GMSK modulation, as for the following plot, determine the fading margins for minimum probability of error of 10-4 and 10-5. 10-1 10-2 GMSK (BT-0.3): Rayleigh fading 10-3 10-4 GMSK...
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...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
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 2: In this problem we explore the power penalty involved in going to higher level signal modulations, i.e. from QPSK to 16PSK. (a) Find the minimum distance between constellation points in 16PSK modulation as a function of signal energy Es. (b) Find aM and BM such that the symbol error probability of 16PSK in AWGN is approximately (c) Using your expression in part (b), find an approximation for the average symbol error probability of 16PSK in Rayleigh fading in...
6. The probability density function of (lifetime of an electronic component in years) X is f, (x)- 4 x exp(-r)U(x) 32 (a) What value of A will make this a valid pdf? (b) What is the probability that it will fail within 6 years, given that normally these units tend to fail within 4 to7 years? (c) What is P[IX-316)? (d) If the unit is known to fail within 6-8 years, what is the probability that it fail within 7...
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....
i need clear writing
3. (9 Marks) The length of time required by students to complete a coe-hour exam is a random variable with a probability density function (pdf) given by 1) = c +2 OSX S1 a) Find the value and write down the new pdf. (2 points) b) Find the probability that a randomly selected student will finish in less than half an hour. (3 points) c) Find the mean and standard deviation of the distribution. (4 points)...
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