## HAPTER Modulation and Demodulation MIT

Sampling and Chapter Aliasing University of Colorado. Signals and Systems Lecture Notes This set of lecture notes grew out of class notes I have written in this area for many years. My class notes were collected from many sources covering this A signal whose amplitude can take on any value in a continuous range is called an analog signal. A digital signal, on the other hand, is one whose, Course Overview Time-Series Representation of Signals Typically think of a signal as a \time series", or a sequence of values in time t f(t) Useful for saying what is happening at a particular time Not so useful for capturing the overall characteristics of the signal. Cu (Lecture 1) вЂ¦.

### 2. Double-Sideband Suppressed Carrier Modulation (DSB-SC)

RADIO SYSTEMS вЂ“ ETIN15 Lecture no 5. Winter 2003 UW, ECE 318 Lecture Notes 1 Amplitude Modulation вЂ“ Part 1 Instructor: Prof. Farshad Lahouti January 20, 2003 Winter 2003 UW, ECE 318 Lecture Notes 2 Information Source Signal Modulator Propagation Channel Signal Demodulator Information Destination Analog вЂ¦, Lecture 3 Complex Exponential Signals Spring, 2012 Wei-Ta Chu 2012/3/1 1 DSP, CSIE, CCU. phase shift of the complex exponential signal. The complex amplitude is also called a phasor (з›ёй‡Џ,з›ёеђ). The Rotating Phasor Interpretation z(t) is a complex number whose magnitude is A and Fundamentals of Digital Signal Processing Lecture 3.

Basic Concept of Modulation The information source Typically a low frequency signal Referred to as the вЂњbaseband signalвЂќ Carrier A higher frequency sinusoid Example: cos(2ПЂ10000t) Modulated Signal Some parameter of the carrier (amplitude, frequency, phase) is varied in accordance with the baseband signal Course Overview Time-Series Representation of Signals Typically think of a signal as a \time series", or a sequence of values in time t f(t) Useful for saying what is happening at a particular time Not so useful for capturing the overall characteristics of the signal. Cu (Lecture 1) вЂ¦

The signal a+x(t) where a is some number is just adding a constant signal to x(t) and simply shifts the range (or amplitude) of the signal by the amount a. A somewhat diп¬Ђerent operation is obtained when one shifts the domain of the signal. Namely, the signal x(tВЎt0) is a time-shift of the original signal x(t) by the amount t0. ItвЂ™s like a variation of A is called " amplitude modulation, " variation of o results in "frequency modulation, " and time dependence of is called "phase modulation. " In this lecture we will study amplitude modulation and a device which can be used as an amplitude modulator . Amplitude Modulation Let A in the above mentioned signal be: Ao(l + m cos (Dmt )

18.330 Lecture Notes 6 1 y t 1 y t 1 y t Figure 2: Amplitude modulation in the frequency domain. The baseband signal has some frequency spectrum that is nonzero up to a maximum frequency !max. The carrier signal has a frequency spectrum that is concentrated at a single Amplitude I The amplitude A is a scaling factor. I It determines how large the signal is. I Speciп¬Ѓcally, the sinusoid oscillates between +A and A. В©2009-2019, B.-P. Paris ECE 201: Intro to Signal Analysis 19

Reference: Communication systems-Simon Haykin (2001) Chapter2: In chapter1, we investigated the way of modulating a sinusoidal carrier wave using AM technique. There is another way of modulating a, sinusoidal carrier wave, namely, angle modulation in which the angle of the carrier wave is varied according to the base-band signal. 18.330 Lecture Notes 6 1 y t 1 y t 1 y t Figure 2: Amplitude modulation in the frequency domain. The baseband signal has some frequency spectrum that is nonzero up to a maximum frequency !max. The carrier signal has a frequency spectrum that is concentrated at a single

(from Lecture 3) 3 April 2017 6 Simple model of a radio signal вЂў A transmitted radio signal can be written вЂў By letting the transmitted information change the amplitude, the frequency, or the phase, we get the tree Transmitted radio signal By manipulating the amplitude A(t) The output signal is a sinusoid that has the same frequency, П‰, as the input.signal, x(t) =AsinП‰t. 2. The amplitude of the output signal, , is a function of the frequency П‰and the input amplitude, A: AЛ† 22 Л† (13-2) П‰П„1 = + KA A Frequency Response Characteristics of a First-Order Process 3. The output has a phase shift, П†, relative to

### 2. Double-Sideband Suppressed Carrier Modulation (DSB-SC)

D. G. Meyer School of Electrical & Computer Engineering. 4 (12) Notes on Quadrature Amplitude Modulation determined by sI,k and sQ,k. Hence, the transmitted information can aп¬Ђect both the amplitude and phase of the transmitted signal. We can choose the signal constellation such that the amplitude is the same for all signal alternatives, by placing the signal vectors on a circle in the signal space., Course Overview Time-Series Representation of Signals Typically think of a signal as a \time series", or a sequence of values in time t f(t) Useful for saying what is happening at a particular time Not so useful for capturing the overall characteristics of the signal. Cu (Lecture 1) вЂ¦.

Basics of Signals and Systems. View Notes - Lecture-2.pdf from ELECTRONIC 1835 at Beacon Hall College of Education, Muzaffar Garh. Amplitude Modulation 1 Content What is Modulation Amplitude Modulation (AM) Demodulation of AM, Chapter 7: Pulse Modulation Time-division multiplex (TDM) (continued) Necessary bandwidth for TDM signal transmission As only the amplitude information is important here, the absolute minimum bandwidth required such that the information in each sampled channel remains independent of that in the.

### Introduction to Modulation Amplitude Modulation(AM)

Basics of Signals Princeton University. Lecture 3 Complex Exponential Signals Spring, 2012 Wei-Ta Chu 2012/3/1 1 DSP, CSIE, CCU. phase shift of the complex exponential signal. The complex amplitude is also called a phasor (з›ёй‡Џ,з›ёеђ). The Rotating Phasor Interpretation z(t) is a complex number whose magnitude is A and Fundamentals of Digital Signal Processing Lecture 3 EE442 Lecture 8 Spring 2017 . 2 With few exceptions, Phase Modulation (PM) is used primarily in digital communication Amplitude, Frequency and Phase Modulation . 3 Carrier signals are used for two reasons: (1) To reduce the Sketch FM and PM waveforms for the modulating signal m(t). The constants k f and k p are 2 105 and /2.

Digital Signal Processing Lecture 1 - Introduction Electrical Engineering and Computer Science University of Tennessee, Knoxville Beat notes Adding two sinusoids with frequencies, F1 and F2, amplitude A linear-FM chirp signal with f1=200 Hz, f2=2000 Hz 0 1000 2000 3000 4000 5000 6000 7000 8000 9000-1 0 1 amplitude modulation (QAM) encoder mirror data and N-IFFT add cyclic prefix P/S D/A + transmit filter TRANSMITTER N/2 subchannels N real samples Bits 00110 signal 1 Original Lecture Notes by Prof. B. Evans. Channel Impulse Response Original Lecture Notes by Prof. B. Evans Prof. Murat Torlak.

This lecture introduces the principle of digital modulation, which serves as the bridge between the cyber world and the physical world. The channel noise is neglected in this lecture, and how to demodulate the signal under noise using optimal detection principles is the theme of the next lectureвЂ¦ вЂў A signal with finite energy is an energy signal вЂ“ Necessary condition for a signal to be of energy type is that the amplitude goes to zero as the independent variable tends to infinity вЂў A signal with finite and different from zero power is a power signal

EE442 Lecture 8 Spring 2017 . 2 With few exceptions, Phase Modulation (PM) is used primarily in digital communication Amplitude, Frequency and Phase Modulation . 3 Carrier signals are used for two reasons: (1) To reduce the Sketch FM and PM waveforms for the modulating signal m(t). The constants k f and k p are 2 105 and /2 amplitude modulation, where the modulating signal affects only the amplitude of the modulated signal (i.e., when О¶(t) is a constant в€Ђt (for any t)), and phase modulation (with a rectangular phase shaping function) where the modulating signal affects only the phase of the modulated signal (i.e., when О¶(t) is a constant over each

Phase and Frequency Modulation discrimination against noise and interference than amplitude modl idulation. 4. 4.14.1 Introduction Introduction Sinusoidal modulating signal c) Amplitude-modulated signal d) Phase-modulated signal) F dltd i l 11 e requency-modulated signal. c J.Fessler,May27,2004,13:10(studentversion) 0.1 EECS 451 Digital Signal Processing and Analysis Lecture Notes J. Fessler DSP is everywhere, and hardly needs a motivating introduction these days: modems, cell phones, computer sound cards, digital

Apply a sinusoidal input signal with amplitude Vi to the input, measure the amplitude of the input and output signals (make sure that the ampli er is not in saturation and signal is not clipped), and compute Av = Vo=Vi. Note that Av is in general depends on frequency. There may also been some phase di erence between Vi and Vo similar to lters. View Notes - Lecture-2.pdf from ELECTRONIC 1835 at Beacon Hall College of Education, Muzaffar Garh. Amplitude Modulation 1 Content What is Modulation Amplitude Modulation (AM) Demodulation of AM

4 (12) Notes on Quadrature Amplitude Modulation determined by sI,k and sQ,k. Hence, the transmitted information can aп¬Ђect both the amplitude and phase of the transmitted signal. We can choose the signal constellation such that the amplitude is the same for all signal alternatives, by placing the signal vectors on a circle in the signal space. Signals and Systems Lecture Notes This set of lecture notes grew out of class notes I have written in this area for many years. My class notes were collected from many sources covering this A signal whose amplitude can take on any value in a continuous range is called an analog signal. A digital signal, on the other hand, is one whose