Data is transmitted using a unipolar NRZ line code. The noise at the output of the...
Data is transmitted using a unipolar NRZ line code. The noise at the output of the receiver filter is found to have an RMS value of 0.6 mV when no signal is received. When a 1 is transmitted, the signal at the receiver filter has a value of 3.5 mV at the sample time. Find the probability of error?
Homework Answers
For finding probability of error we must follow following steps:
1. Write the expression for probability of error as follows:
2.
3. Simplify the expression to obtain the value of probability of error as follows
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Data is transmitted using a unipolar NRZ line code. The noise at
the output of the...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by 3 dB (from transmitter to receiver). The pulses are coherently de noise w e. tected at the receiver, and the data rate is 56 kbit/s. Assume Gaussian no N 10 Watt Hz. What is the minimum amount of power needed at the trans in order to maintain a bit-error probability of PB 10-32 with
A thermal-noise-limited PCM system must operate with an error probability better than 10^-9. The load resistance is 50 ohms and the temperature is 300 K. The data rate is 500 Mb/s (NRZ), the wavelengt...
A thermal-noise-limited PCM system must operate with an error probability better than 10^-9. The load resistance is 50 ohms and the temperature is 300 K. The data rate is 500 Mb/s (NRZ), the wavelength is 1.3 um, and the photodetector's quantum efficiency is 0.9. a. what is the required minimum SNR? b. How much optic power must reach the receiver? c. compute the number of incident photons per bit (that is, the number of photons when a binary 1 is...
Please help me these questions of "Principles of Communications" subject. Thanks in advance! Problem 2: PCM syst...
Please help me these questions of "Principles of Communications"
subject. Thanks in advance!
Problem 2: PCM system (40 points)coo h Consider a polar binary PCM system with number of bits per sample v 8 and the 4 KHz. Assumed that the channel is AWGN. voice bandwidth a) Assumed that one voice signal is transmitted using above PCM system, find the bit rate at the output of PCM transmitter and the minimum channel bandwidth. b) Assumed that 24 voice signals are...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent...
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the...
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent...
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the...
Problem 3: a) For the inverting amplifier designed using low noise amplifier AD743 shown on the...
Problem 3: a) For the inverting amplifier designed using low noise amplifier AD743 shown on the bottom of the page with Ri=10kOhm and Rf=220kOhm, what should be the value of the resistor connected to the non-inverting input (R2) to minimize the output offset due to input bias current? b.) Even if the R2 value you calculated is used, could there be an output offset due to a difference between the two input bias currents? What is the maximum value of...
Designing a High speed Wireless Data Link Line of Sight Link Budget Analysis Several major factors that can impact...
Designing a High speed Wireless Data Link Line of Sight Link Budget Analysis Several major factors that can impact the performance of a radio system are Available/permitted output power e Bandwidth, . Receiver sensitivity Antenna gains In this case study, the students will be required to calculate the link budget for a LOS Wireless link. Read through the following to understand some of the aspects and elements that need to be considered when calculating a Link Budget. If the estimated/calculated...
The output of a midrise uniform quantiser of input range ±5V is coded using 8 bits/sample....
The output of a midrise uniform quantiser of input range ±5V is coded using 8 bits/sample. Determine: (1) the maximum quantisation error; (2) the quantisation error associated with an input sample of value -2.3V; (3) the quantisation noise power; (4) the dynamic range of the system; (5) the SQNR when the input is a speech signal (R=2.818) that fully loads the quantiser; (6) the SQNR during a weak passage when the peak value of the input speech signal is only...
LMS project Using the notes discussed in class: Implementing the LMS Algorithm First generate some signals clear all c...
LMS project Using the notes discussed in class: Implementing the LMS Algorithm First generate some signals clear all close al1: Generate signals for testing the LMS Algorithm 1000 Fs Sampling frequency Sample time 1/Fs 10000: = L Length of signal S Time vector (0:L-1) *T ; Sum of a 50 Hz sinusoid and a 120 Hz sinusoid 0.7 sin (2*pi*50*t); inuside X d+ 10 randn (size (t)); Sinusoids 5O0000000L plus noise fiqure (1) plot (Fs*t (1:150),x (1:1500)) title('Signal Corrupted with...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by 3 dB (from transmitter to receiver). The pulses are coherently de noise w e. tected at the receiver, and the data rate is 56 kbit/s. Assume Gaussian no N 10 Watt Hz. What is the minimum amount of power needed at the trans in order to maintain a bit-error probability of PB 10-32 with
Please help me these questions of "Principles of Communications"
subject. Thanks in advance!
Problem 2: PCM system (40 points)coo h Consider a polar binary PCM system with number of bits per sample v 8 and the 4 KHz. Assumed that the channel is AWGN. voice bandwidth a) Assumed that one voice signal is transmitted using above PCM system, find the bit rate at the output of PCM transmitter and the minimum channel bandwidth. b) Assumed that 24 voice signals are...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the...
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the...
Designing a High speed Wireless Data Link Line of Sight Link Budget Analysis Several major factors that can impact the performance of a radio system are Available/permitted output power e Bandwidth, . Receiver sensitivity Antenna gains In this case study, the students will be required to calculate the link budget for a LOS Wireless link. Read through the following to understand some of the aspects and elements that need to be considered when calculating a Link Budget. If the estimated/calculated...
LMS project Using the notes discussed in class: Implementing the LMS Algorithm First generate some signals clear all close al1: Generate signals for testing the LMS Algorithm 1000 Fs Sampling frequency Sample time 1/Fs 10000: = L Length of signal S Time vector (0:L-1) *T ; Sum of a 50 Hz sinusoid and a 120 Hz sinusoid 0.7 sin (2*pi*50*t); inuside X d+ 10 randn (size (t)); Sinusoids 5O0000000L plus noise fiqure (1) plot (Fs*t (1:150),x (1:1500)) title('Signal Corrupted with...
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