Consider sending the signal 2Tn 4an Xn = 2 + sin + 3 cos 4 n = 0, 1,..., 199 through a filter whose frequency response H is shown in the figure. Which expres- sion is correct for the output signal? 1 40 90 110 160 199 2πη (a) 2+ sin 4 (b) sin +3 cos 4 2Tn 4Tn (c) sin 4 (d) 2+3 cos

Consider sending the signal 2Tn 4an Xn = 2 + sin + 3 cos 4 n = 0, 1,..., 199 through a filter whose frequency response H is shown in the figure. Which expres- sion is correct for the output signal? 1 40 90 110 160 199 2πη (a) 2+ sin 4 (b) sin +3 cos 4 2Tn 4Tn (c) sin 4 (d) 2+3 cos

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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-MCQ- When the lower sideband components of the Double Sideband (DSB) signal whose spectrum is given in the figure are suppressed with a filter, when the signal obtained by suppressing it with a filter is multiplied by cos(ωct) in the time domain, which of the following signals is the result? a) 0.5 cos(2ωc + ωm)t + cosωct b) 0.25 cos(2ωc - ωm)t – 0.5 cosωct c) 0.5 cos(2ωc - ωm)t + 0.25 cosωct d) 0.5 cos(2ωc + ωm)t + 0.5 cosωct
a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation) Since this is multi-part, answers to later parts will be graded based on your answers to previous parts when necessary.
a) In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
An interview is held with a student about the importance of education for thirty minutes at a radio station. It was later amplitude modulated & transmitted to receivers on the school campus.The expression below describes the transmitted signal a(z) a(z)= Acos(16πz) where A=3cos(10πz) a. In an expression form, express a(z) as a sum of sinusoids & determine the frequency components of the signal a(z)b. To adequately & fully recover the signal at the receiver, determine the rate at which the signal should be sampled.c. Determine the discrete signal,a[n] that was transmitted in a reduced form & the angular frequency assuming the signal a(z) is sampled at ten Hertz.
The carrier c(t) = 100 cos(2πft) is frequency modulated (FM) by the message signal m(t) = 5 cos( 20000πt), where f.= 100MHz. The peak-frequency deviation is 20 kHz. The modulated signal is a wide-band FM.1. Determine the amplitude and frequency of all signal components that have a power level of at least 10% of the power of the unmodulated carrier component.2. From Carson's rule, determine the approximate bandwidth of the FM signal.
In the circuit in the figure, Vcc= 18 V, Rs1 = 0.9 kohm, Rohm = 0.5 kQ, R1 = 75 kohm, R2 = 15 kohm, RC = 2.2 kohm, RE = 1 kohm and B = 120. It is also known that Cwi = 6 pF, Cwo = 10 pF, Cbc = Cu = 7 pF, Cbe = C = 44 pF and Cce = 11 PF. Accordingly, considering the frequency response of the circuit, what would the high cutoff frequency (fH) be? NOTE-1: The output impedance of the transistor is ro = 20 k and will be taken into account in the calculations. NOTE-2: high frequency dependence of hfe, B. will be taken into account.
What is the bandwidth of an AM signal whose carrier is 2.1 MHz modulated by a 1.5-kHz square wave with significant harmonics up to the fifth? Calculate all the upper and lower sidebands produced? (Our lesson is AMPLITUDE MODULATION FUNDAMENTALS) (Please box the answer )
Impulse response of an LTI system is given by h(n)=δ(n+2)-2δ(n+1)+3δ(n)-2δ(n-1)+δ(n-2) = {1,-2,3,-2,1} a) Give the system function H(z), its ROC, and the frequency response H(ejω). Is this system stable? causal? Explain b) Obtain the spectrum, X(ejω), of x(n) = 3δ(n)+ 2sin(0.4 π n) + cos(0.8 π n) by using DTFT. Then calculate X(z). c) x(n) is applied to the LTI system h(n). Find the output spectrum Y(ejw) and Y(z).
An FM radio broadcast used a modulator with a frequency deviation sensitivity of 5KHz/V, a 2Vp – 10 kHz modulating signal, and a 10Vp – 88MHz carrier Signal , determine : (a) Actual minimum bandwidth from the Bessel function table in kHz (b) Appropriate minimum bandwidth using Carson’s rule in kHz (c) Percent Modulation (d) The FM modulated waveform carrier and significant sideband components amplitudes; NOTE: Use this format in providing your answers to this problem: VJ0=x.xx v,VJ1=x.xx v,VJn=x.xx v; where VJO is the modulated carrier amplitude, VJ1-VJn is the amplitudes in significant sideband components and the number of sidebands (n) depending on your computation. (e) The unmodulated carrier power (W) for the FM modulator assumes that the load resistance is 50 Ω f) The corresponding FM modulated waveform carrier and significant sideband components power and its total power in mW. Note: Use this format in providing your answers to this problem: PJ0=xxx.xx mW,PJ1=xxx.xx…
Practically, the de-emphasis filter in an FM receiver unit is often a simple resistance-capacitance (RC) circuit with transfer function. Hde(f)=1/(1+j2πfRC) i) Determine the 3-dB bandwidth and equivalent bandwidth. ii) Presume the modulating signal has bandwidth W, the carrier amplitude is A, and the single-sided power spectral density of the white Gaussian noise is N0. Solve for the noise power at the output of the de-emphasis filter circuit. iii) Find the noise power without the de-emphasis filter. iiii) Supposing RC = 6 × 10−5, and W = 15 kHz. Calculate the improvement in the output signal-to-noise ratio (SNR) provided by the de-emphasis filter. Express it in decibel (dB).
Q.3/ An SSB signal is given as x(1)=cosa, cos(w,t +8)—sinat sin(w,t +6) , where @, >> @, . Determine whether this is the upper or lower sideband?
A frequency modulated signal is generated by modulating the carrier signal c(t) = 40 cos(2pi fc t),with fc = 106 MHz.The phase function of the FM modulated signal is known to be phase(t) = 10 sin(12,000pi t).Determine1. the average transmitted power of the FM modulated signal u(t),2. the peak-phase deviation,3. the peak-frequency deviation,4. the bandwidth of the FM modulated signal.