Q6. The power spectral density of a narrow-band noise n(t) is as shown in figure below....
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
Problem 5 (LSM5) (20 pts) A WSS noise process z(t) with power spectral density Ser(ju) VAre is passed through an LTI system with frequency response H(ju) 2 Denote the output of the systeru by y(t). Determine the following: (a) The correlation function R ) of r; (b) The power P, of a; (c) The power spectral density Sy ju) of y. Note: Problem 5 (LSM5) (20 pts) A WSS noise process z(t) with power spectral density Ser(ju) VAre is passed...
5.57 Let np(t) be a zero-mean white Gaussian noise with the power spectral density 20 let this noise be passed through an ideal bandpass filter with the bandwidth 2W centered at the frequency fe. Denote the output process by nt). 1. Assuming fo fe, find the power content of the in-phase and quadrature components of n(t). We were unable to transcribe this image 5.57 Let np(t) be a zero-mean white Gaussian noise with the power spectral density 20 let this...
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....
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
An 8-ary PSK (phase shift keying) signal is transmitted over an additive, zero mean, band-limited Gaussian noise channel.The channel output is r(t)-s(t)+n(t), st<T, where s(tAcos 2rft+0) for ie 10,123,4,5,6,7) were,+8 16 8 The noise n(t) is narrowband, zero mean, bandpass Gaussian noise with power spectral density Sn (f) is shown in Figure 3, where B is the bandwidth of the noise S, (f) (Watts/Hz) 2 cf (Hz) Figure 3 T herefore, 2 2 2 0 elsewhere (i) What is the...
Assume a required bit rate of 5 Mbits/s, a noise power spectral density N 4 x 101 Watts/Hz, and binary modulation. With a target bit error probability of 2 X 10, how much signal power is required if the following modulation techniques are used? a.) (5 pts) PSK b.) (5 pts) PAM c.) (5 pts) FSK
Q.2 ICO2]10 Marks] The signal g(t) forms the input to the LPF circuit shown in the figure, where R l,and y(Dis the output. If the power spectral density (PSD) of the signal ge) is (a) The autocorrelation of g(t) (b) The 3-dB bandwidth of the LPF (c) The power of g(t) and y(t) (d) Based on your answers above, will it be better if the signal has more or less bandwith? (e) If a white noise of PSD No/2 is...
Consider additive white Gaussian noise with a double-sided noise power spectral density (PSD) 12-90 dBm/Hz 1E-12 W/Hz. This noise corrupts a baseband polar NRZ signal with rectangular pulses, like that 1 mV and the pulse duration is Tb such that the symbol rate is Rb 1/Tb. Since this is binary signaling, the symbol rate equals the bit rate of the incoming baseband pulse train: B Rt. The signal is then sampled at the center of the noisy shown in the...