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Spectrum (f) 2 sides M(f) -3000-300 300 m(t) TF m(t) = M(f) Frequency response (f) 1-sided ideal band-pass filter H(f) 1 3000 f(Hz) x(t) Oscilator 1 546.10³ Band- pass filter 1 Ideal ci(t) = cos(27550. 10³t) 554.10³ f(Hz) s(t) TF s(t) = S(T) H From the transmitter block diagram: a. Draw the spectrum of the oscillator signal and the x(t) and s(t) signals. b. What is the bandwidth of the m(t) signal and the x(t) signal and the ideal band pass filter 1 s(t) signal to use? c. Determine the signal equation x(t). d. In your opinion, what kind of modulation does this transmitter use?

Spectrum (f) 2 sides M(f) -3000-300 300 m(t) TF m(t) = M(f) Frequency response (f) 1-sided ideal band-pass filter H(f) 1 3000 f(Hz) x(t) Oscilator 1 546.10³ Band- pass filter 1 Ideal ci(t) = cos(27550. 10³t) 554.10³ f(Hz) s(t) TF s(t) = S(T) H From the transmitter block diagram: a. Draw the spectrum of the oscillator signal and the x(t) and s(t) signals. b. What is the bandwidth of the m(t) signal and the x(t) signal and the ideal band pass filter 1 s(t) signal to use? c. Determine the signal equation x(t). d. In your opinion, what kind of modulation does this transmitter use?

Introductory Circuit Analysis (13th Edition)
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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### Transmitter Block Diagram Analysis The image depicts a transmitter block diagram with associated signal and frequency representations. #### Key Components and Diagrams: 1. **Spectrum \( M(f) \):** - **Two-sided Spectrum:** - Amplitude: 1 - Frequency Range: \(-3000 \, \text{Hz}\) to \(3000 \, \text{Hz}\) 2. **Frequency Response \( H(f) \):** - **One-sided Ideal Band-pass Filter:** - Passband Frequency Range: \(546 \times 10^3 \, \text{Hz}\) to \(554 \times 10^3 \, \text{Hz}\) - Amplitude: 1 3. **Transmitter Block Diagram:** - Signal \( m(t) \) is modulated by \( c_1(t) = \cos(2\pi 550 \times 10^3 t) \) via a multiplier to produce \( x(t) \). - \( x(t) \) is passed through an "Ideal Band-pass Filter 1" to produce \( s(t) \). - Transformed Signal: \( s(t) \longleftrightarrow S(f) \) #### Questions for Educational Analysis: a. **Draw the Spectrum:** - You should illustrate the frequency spectrum of the oscillator signal, and post-modulation signals \( x(t) \) and \( s(t) \). b. **Bandwidth Calculation:** - Determine the bandwidth of \( m(t) \), \( x(t) \), and the filtered \( s(t) \) signals based on the provided frequency ranges. c. **Signal Equation \( x(t) \):** - Derive the mathematical expression for \( x(t) \) using the modulation process with \( c_1(t) \). d. **Modulation Type:** - Analyze the diagram and provide insights into the type of modulation used by the transmitter, considering both the oscillator and the filtering process. This diagram provides a foundational understanding of signal modulation processing, showcasing practical applications of frequency response and filtering in communication systems.
Transcribed Image Text:### Transmitter Block Diagram Analysis The image depicts a transmitter block diagram with associated signal and frequency representations. #### Key Components and Diagrams: 1. **Spectrum \( M(f) \):** - **Two-sided Spectrum:** - Amplitude: 1 - Frequency Range: \(-3000 \, \text{Hz}\) to \(3000 \, \text{Hz}\) 2. **Frequency Response \( H(f) \):** - **One-sided Ideal Band-pass Filter:** - Passband Frequency Range: \(546 \times 10^3 \, \text{Hz}\) to \(554 \times 10^3 \, \text{Hz}\) - Amplitude: 1 3. **Transmitter Block Diagram:** - Signal \( m(t) \) is modulated by \( c_1(t) = \cos(2\pi 550 \times 10^3 t) \) via a multiplier to produce \( x(t) \). - \( x(t) \) is passed through an "Ideal Band-pass Filter 1" to produce \( s(t) \). - Transformed Signal: \( s(t) \longleftrightarrow S(f) \) #### Questions for Educational Analysis: a. **Draw the Spectrum:** - You should illustrate the frequency spectrum of the oscillator signal, and post-modulation signals \( x(t) \) and \( s(t) \). b. **Bandwidth Calculation:** - Determine the bandwidth of \( m(t) \), \( x(t) \), and the filtered \( s(t) \) signals based on the provided frequency ranges. c. **Signal Equation \( x(t) \):** - Derive the mathematical expression for \( x(t) \) using the modulation process with \( c_1(t) \). d. **Modulation Type:** - Analyze the diagram and provide insights into the type of modulation used by the transmitter, considering both the oscillator and the filtering process. This diagram provides a foundational understanding of signal modulation processing, showcasing practical applications of frequency response and filtering in communication systems.
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