6. The power spectral density of a white noise process is 10 and it is passed through an ideally shaped bandpass filter centered at 50Hz and with a bandwidth of 4Hz. a) Draw the frequency response of the bandpass filter. b) Draw the exact Power Spectral Density of the narrowband noise. c) Draw the exact Power Spectral Density of the in-phase component of the narrowband noise. d) How is the in-phase component of a bandpass signal extracted? e) What is the autocorrelation function of the white noise process, before it is passed through any filter?

6. The power spectral density of a white noise process is 10 and it is passed through an ideally shaped bandpass filter centered at 50Hz and with a bandwidth of 4Hz. a) Draw the frequency response of the bandpass filter. b) Draw the exact Power Spectral Density of the narrowband noise. c) Draw the exact Power Spectral Density of the in-phase component of the narrowband noise. d) How is the in-phase component of a bandpass signal extracted? e) What is the autocorrelation function of the white noise process, before it is passed through any filter?

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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help please with explain A narrowband FM signal has a carrier frequency of 110 kHz and a deviation ratio of 0.05. The modulation bandwidth (signal bandwidth) is 10 kHz. This signal is used to generate a wideband FM signal with a deviation ratio of 18 and a carrier frequency of 98 MHz. a) Give the required value of frequency multiplication, n. b) Give two frequencies for the mixer to give the desired carrier. c) Define the required bandpass filter (center frequency and bandwidth).
Answer the Following and provide solution. 1. The maximum frequency deviation of the carrier is ± 15 kHz and the maximum modulating frequency is 3 kHz, calculate for the modulation index. 2. Assume that the 60-dB bandwidth of a receiver is 12 kHz and the 6-dB bandwidth is 7 kHz. What is the shape factor of the circuit? 3. What is the bandwidth of a receiver with a quality factor of 50 and a resonance frequency of 540 kHz. 4. What is the maximum bandwidth of an FM signal with a deviation of 27 kHz and a maximum modulating signal of 4 kHz as determined by Carson’s rule? 5. A PM signal has a maximum allowed deviation of 17 kHz and an actual deviation of 8 kHz. What is the percentage modulation?
What is the slope of the high-frequency asymptote for the Bode magnitude plot for a firstorder highpass filter? The low-frequency asymptote? At what frequency do the asymptotes meet?
Discuss the action of the filter circuit?
(a) In a Single Side Band (SSB) generator the side filter center is 2 MHz. Since the information signal is 4 kHz, what should be the carrier frequencies for the upper and lower sidebands? (b) Compare AM Independent Side Band (ISB) and AM Single Side Band Reduced Carrier (SSBRC) techniques and write down their differences?
Sketch the Z-plane pole- Zero plot for this filter.
A filter is provided with a cascaded differential amplifier. The midband gain and noise coefficient of the filter are given as −3 dB and 3 dB, respectively.According to this,a) If it is known that the amplifier gain is ?1= 20 dB and the noise coefficient is ?1= 2 dB, calculate the midband gain for the entire cascaded system. Give your answers in dB
Let R = 150 Ohm and C = 1uF. What is the peak gain offered by this filter? At what frequency does the frequency response achieve this gain? What is the lower cutoff frequency? What is the upper cutoff frequency? What is the passband width?
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).
The modulating signal that is the input into an FM modulator is m(t)=2cos(10??).a) Express the time domain expression of ?(?) signal.b) Express FM signal in terms of Bessel functions.c) Sketch the frequency spectrum of the modulated signal.d) Determine the bandwidth of ?(?) occupies 98% of the total power (Carson Rule) in the acquired spectrum.e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the total power appears at the output of the filter?
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.
Draw frequency response curve of a bandpass filter whose end frequencies are 0.1 MHz and 0.4 MHz respectively. Consider peak amplitude as 1. Use your own scale and necessary values.