5.18. The input x(t) = [sinc(t/T)](cos 2t), -00 < t < 00, is applied to an ideal lowpass filter with frequency function H(@) = 1, -a < w < a, H(@) = 0 for all other w. Determine the smallest possible value of a for which the resulting output response y(t) is equal to the in- put x(t) = [sinc(t/T)](cos 2t). %3D %3D

5.18. The input x(t) = [sinc(t/T)](cos 2t), -00 < t < 00, is applied to an ideal lowpass filter with frequency function H(@) = 1, -a < w < a, H(@) = 0 for all other w. Determine the smallest possible value of a for which the resulting output response y(t) is equal to the in- put x(t) = [sinc(t/T)](cos 2t). %3D %3D

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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Similar questions

If having a certain bandwidth is so crucial, why does it only exist in particular amounts? Can I get an explanation, please?
how do you calculate the voltage gain of a bandpass filter? show an example.
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In the circuit shown in the figure, Vcc = 12 V, Vin = 10 mV, β = 100, r0 = 40 kΩ, RB = 360 kΩ, RC = 3.3 kΩ, RE = 220 Ω, Rs = 0.5 kΩ and RL = 42.1 kΩ . Accordingly, find the voltage gain (Vout/Vin) of the circuit.NOTE-1: The output impedance of the transistor r0 will be taken into account in the calculations.NOTE-2: Capacitors are negligible at midband frequency.
Given the narrow (usable) audio bandwidth of a telephone transmission facility with a bandwidth of 5 kHz, a nominal SNR of 55 dB, and a certain level of distortion. What is the theoretical maximum channel capacity of traditional telephone lines?
In the circuit shown in the figure, Vcc = 12 V, Vin = 10 mV, β = 100, r0 = 40 kΩ, RB = 360 kΩ, RC = 3.3 kΩ, RE = 220 Ω, Rs = 0.5 kΩ and RL = 7.1 kΩ . Accordingly, find the voltage gain (Vout/Vin) of the circuit. NOTE-1: The output impedance of the transistor r0 will be taken into account in the calculations.NOTE-2: Capacitors are negligible at midband frequency.
Tuned Circuit Design Using a VARICAP (a) Refer to the capacitance curves for the Motorola 1N4002 The input tuning circuit of a standard analog FM radio is given below. Specify, that is design for, a voltage, capacitance, and inductance required to tune the circuit to the center frequency of KUMD-FM which operates at 103.3 MHz. Sketching and labeling a representative resonance curve is required to support your calculations. There is no single correct design answer set of values since it depends upon the voltage you initially select to tune your diode.
Assume that an RF amplifier’s input has a signal power of 2μW and a noise power of 323nW, what is the signal-to-noise ratio? Assume that the RF amplifier in problem number 1 has a signal-to-noise ratio of 5 at the output. Calculate the noise ratio and noise figure. Given the noise ratio calculated in problem number 2, what is its equivalent noise temperature? What is the average noise power of a device operating at temperature 75oF with a bandwidth of 33 kHz? Assuming that an oscilloscope displays a Vmax of 5.22V and Vmin of 1.33V. Calculate the percentage of modulation. Three (3) AM broadcast stations are spaced at 18 kHz, beginning at 73 kHz. Each station is allowed to transmit modulating up to 6 kHz. Compute for the upper and lower sidebands of each station and plot it in the frequency domain. Given a Vmax of 7.45V and a modulation index of 0.691, calculate for Vmin. A station is given a carrier frequency of 88 kHz. Having a modulating frequency of 12 kHz, compute for…
Assume that an RF amplifier’s input has a signal power of 2μW and a noise power of 323nW, what is the signal-to-noise ratio? Assume that the RF amplifier in problem number 1 has a signal-to-noise ratio of 5 at the output. Calculate the noise ratio and noise figure. Given the noise ratio calculated in problem number 2, what is its equivalent noise temperature? What is the average noise power of a device operating at temperature 75oF with a bandwidth of 33 kHz?
1. a) Show (via a qualitative analysis) that the circuit is a bandreject filter. 2. b) Support the qualitative analysis of (a) by finding the voltage transfer function of the filter. 3. c) Derive the expression for the center frequency of the filter. 4. d) Derive the expressions for the cutoff frequencies ωc1 and ωc2. 5. e) What is the expression for the bandwidth of the filter? 6. f) What is the expression for the quality factor of the circuit?
Give the spectrum? Find the value of the signal bandwidth using the following bandwidth definition: 1- Half power bandwidth? 2- Noise equivalent bandwidth? 3- Null-to-null bandwidth? 4- 99% of power bandwidth?
1. Given an analog signal. m(t) =5cos(2π .2000t)+2cos(2π .4000t), for t>0, sampled at a rate of 7,000 Hz, a. sketch the spectrum of the original signal; b. Sketch the spectrum of the sampled signal up to 20 kHz; c. sketch the recovered analog signal spectrum if an ideal low pass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal.