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+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t)...
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density of 0.005 W/Hz is added to the signal. If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability ofPB< 10 A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density...
Consider a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the case when there is no noise, i.e, n(t)0 1. Determine and sketch the output s,() of the matched filter due to the input s(1) and - s(t), respectively 2. What is the sample value of so( atT where T is the pulse duration? 3. Why is it...
Consider a binary communication system that transmits information using the pulse g(t) = A[−u(t) + 2u(t − T /2) − u(t − T )] according to the mapping rule “0′′ → −g(t) “1′′ → +g(t) The “0”s and “1”s are transmitted with equal probability, and the channel is an AWGN channel, with a two-sided noise power spectral density of No/2 watts/Hz. a) Determine and sketch the filter h(t) that is matched to g(t). b) Determine and sketch the overall pulse...
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...
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....
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
45(f) s(t0) Determine the impulse response of the filter matched to the pulse shape shown in the accompanying figure. Assume that the filter is designed to maximize the output SNR at time3to Sketch the output of the matched filter designed in part (a) when the signal s(t) is at the input. (a) to 3to 0 (b)
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....
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)] is applied to a square-law device with output voltage v2 related to input voltage vi by vz(t)= av (t) where a is a constant. a. Determine analytic expression of the output signal. b. Explain how such a device can be used to obtain an FM signal with a greater frequency deviation (Af) than that available at the input. Q2. The spectrum of a message...
Could i get the solution ? 3. (20 pts) Consider a periodic signal z(t) which can be represented by the first K Fourier Series coefficients. Determine the impulse response of the system that can yield z(t) when it is contaminated by a noise r(t) (i.e., the input to the system is a(t) +r(t) and the output is r(t)), assuming that r(t) s composed of only very high-frequency components (namely, F r(t)) = R(ja) = 0 for lav-K2π/T, where T is...