Signal to Noise ratio
1. What is the relationship between S/N and the number of scans co-added to obtain a
spectrum? Why does this occur? Are there any disadvantages to co-addition?
Signal to Noise ratio 1. What is the relationship between S/N and the number of scans...
The infrared spectrum of a sample was collected by averaging 8 individual scans. The resulting signal-to-noise ratio was determined to be 4:1. How many scans must be averaged to obtain a signal-to-noise ratio of 32:1?
channel with noise power spectral density Sn (f) 1. No/2 a. Compute the signal to noise ratio (Eb/No b. Obtain the optimum matched filter impulse response. c. Assuming equally likely transmission, devise the optimum decision device. d. lextral Compute the probability of error in terms ofy Eb/No- S2(0) S1(t) T t T/27/2 7
channel with noise power spectral density Sn (f) 1. No/2 a. Compute the signal to noise ratio (Eb/No b. Obtain the optimum matched filter impulse response. c....
3. (a) What is noise, noise voltage and noise power due to a resistor and why understanding and controlling of noise is critical in telecom signal transmission? Estimate the noise voltage and noise power generated by a 1 MO resistor at RT 40 °C if BW is 18 MHz. Is this noise significant? [Hint: en V 4kT (Bw)R, Pn kT (BW), k 1.38x102 [10] (b) Define channel capacity C and explain how it is affected by the S/N ratio. The...
If the average of 20 measurements of a signal provide a S/N ratio of 3.30, how many measurements would be required to improve the S/N ratio to 6? Hint: Assuming a Gaussian noise distribution, the standard deviation of the mean improves with the square root of the number of measurements.
Question 1 The noise floor, also known as additive white Gaussian noise (AWGN), is a continuous noise level that appears over a wide spectrum when viewed in the frequency domain. True False 10 points Question 2 When considering the impact of impulse noise, we find that it is more devastating to a digital communications link, than an analog one. Therefore, error control methods should be used on all digital links. True False 10 points Question 3 When two transmitters operate...
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An input noise process n;(t) having a PSD that is constant between 200 and 700 rad/s (the power density is 10-W/Hz in the passband 200 to 700 rad/s) is the input to a lowpass filter whose bandwidth is 500 rad/sec and gain is 1. Do not forget that the spectrum and the frequency response are symmetrical between-co and +00. Sketch the PSD of noſt), the noise process at the output of the lowpass filter. Show all...
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An input noise process n;(t) having a PSD that is constant between 200 and 700 rad/s (the power density is 10-W/Hz in the passband 200 to 700 rad/s) is the input to a lowpass filter whose bandwidth is 500 rad/sec and gain is 1. Do not forget that the spectrum and the frequency response are symmetrical between-co and +00. Sketch the PSD of noſt), the noise process at the output of the lowpass filter. Show all relevant details...
An input noise process n;(t) having a PSD that is constant between 200 and 700 rad/s (the power density is 106W/Hz in the passband 200 to 700 rad/s) is the input to a lowpass filter whose bandwidth is 500 rad/sec and gain is 1. Do not forget that the spectrum and the frequency response are symmetrical between-oo and +00. Sketch the PSD of noſt), the noise process at the output of the lowpass filter. Show all relevant details Find the...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and the...
(25 points) A binary communication system transmits signals s,() (i1,2). The receiver samples the received signal r() s,()+n(t) at T and obtain the decision statistic r r(T)- a, -+A or a,-A with A>0 and n is the noise component. Assume that s,(1) and s,() are equally likely to be transmitted and the decision threshold is chosen as zero. If the noise component n is uniformly distributed over [-2, +2] and A-0.8, derive the expression of BER of this system. s,...