Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. The message is a periodic square wave given in the figure below pulse width -0.2m 2 0 0 t (ms) a) What is the output SNR.? b) What is the proper value of the message bandwidth? [Justify your answer. c) What is the corresponding FM transmission bandwidth? d) If the modulation index is kept at β 6, what should be the increase...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the transfer function | H | starting from the nodal equations. b) Find the phase shift of the transfer function (W) c) Find the cutoff frequency fc in Hz d) Is this a high pass or low pass filter? e) Find the passband gain of the filter 62 k2 ANA EVA 22 nF 3.3k f) Given the following input signal: vi(t) = 1.0 sin(2nft +...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
Mark with an X, the best answer for each statement below. Show your reasoning 9. EXTRA CREDIT: The ac circuit in Fig. 9(a), with the output VouT, acts as a: [2 points extra credit] a. 12 F Vin (t) 6 S2 low-pass filter (see Table Vourl t) band-pass filter (see Table) band-stop filter (see Table) high-pass filter (see Table) 12 H iv. V. Fig. 9 (a) _ None of the above Table: Filter Definitions Pass Stop Low-Pass b. For the...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
Determine the period number of the ufk-4 cos(K+TT/2) discrete time signal! Select one: O A. 34 O D. Non periodic O E. 34/3 A coil (L 5 mH) is parallel connected to two serially connected resistors (6 kΩ and 4 k2). Calculate the time constant of the above two-pole! Select one: Ο Α.0.5s OC. 5 s Ο D. 0.5 με Ο Ε.0.5 Ms Consider the following sequential network: Z2 Di Ct ㄍ洼 S2 Q2 CLK Choose which function does this...