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Chapter 3 Pulse Modulation
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Chapter Outline Sampling: is basic to all forms of pulse modulation. Pulse-amplitude modulation (PAM): is the simplest form of modulation. Quantization: when combined with sampling, permits to digitize analog signals. Pulse-code modulation (PCM): is the standard method used to transmit analog signals by digital means. Time-division multiplexing: provides for the time sharing by a common channel. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Chapter Outline (Continued)
Digital multiplexers: combines many slow bit streams into a single faster stream. Other forms of PCM: delta modulation (DM) and differential PCM (DPCM). Linear prediction: is a basic form of encoding analog message signals at low bit rates as in DPCM. Adaptive forms of DPCM and DM. The MPEG-1/audio coding standard: is a transpa-rent, perceptually loss-less compression system for audio signals. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Sampling Process ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Sampling Process (Continued)
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Sampling Process (Continued)
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Haykin/Communication Systems, 4th Ed
Figure 3.1 The sampling process. (a) Analog signal. (b) Instantaneously sampled version of the analog signal. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.2 (a) Spectrum of a strictly band-limited signal g(t). (b) Spectrum of the sampled version of g(t) for a sampling period Ts = 1/2 W. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Signal Reconstruction
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Signal Reconstruction (Cont’d)
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Haykin/Communication Systems, 4th Ed
Sampling Theorem ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Aliasing Effect ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.3 (a) Spectrum of a signal. (b) Spectrum of an undersampled version of the signal exhibiting the aliasing phenomenon. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.4 (a) Anti-alias filtered spectrum of an information-bearing signal. (b) Spectrum of instantaneously sampled version of the signal, assuming the use of a sampling rate greater than the Nyquist rate. (c) Magnitude response of reconstruction filter. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Example ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Example (Continued) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Pulse-Amplitude Modulation
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Figure 3.5 Flat-top samples, representing an analog signal.
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PAM (Continued) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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PAM (Continued) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.6 (a) Rectangular pulse h(t). (b) Spectrum H(f), made up of the magnitude |H(f)|, and phase arg[H(f)]. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.7 System for recovering message signal m(t) from PAM signal s(t). ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Other Forms of Pulse Modulation
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Haykin/Communication Systems, 4th Ed
Figure 3.8 Illustrating two different forms of pulse-time modulation for the case of a sinusoidal modulating wave. (a) Modulating wave. (b) Pulse carrier. (c) PDM wave. (d) PPM wave. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Bandwidth-Noise Trade-off
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Quantization Process ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Quantization Process (Cont’d)
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Quantization Process (Cont’d)
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Figure 3.9 Description of a memoryless quantizer.
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Figure 3.10 Two types of quantization: (a) midtread and (b) midrise.
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Haykin/Communication Systems, 4th Ed
Figure 3.11 Illustration of the quantization process. (Adapted from Bennett, 1948, with permission of AT&T.) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.12 Illustrating the partitioning of the dynamic range A m A of a message signal m(t) into a set of L cells. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Example ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Example (Continued) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Pulse-Code Modulation
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Pulse-Code Modulation (Cont’d)
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Figure 3.13 The basic elements of a PCM system.
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Figure 3.14 Compression laws. (a) m -law. (b) A-law.
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Pulse-Code Modulation (Cont’d)
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Figure 3.15 Line codes for the electrical representations of binary data. (a) Unipolar NRZ signaling. (b) Polar NRZ signaling. (c) Unipolar RZ signaling. (d) Bipolar RZ signaling. (e) Split-phase or Manchester code. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.16a Power spectra of line codes: (a) Unipolar NRZ signal. The frequency is normalized with respect to the bit rate 1/Tb, and the average power is normalized to unity. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.16b Power spectra of line codes: (b) Polar NRZ signal. The frequency is normalized with respect to the bit rate 1/Tb, and the average power is normalized to unity. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Figure 3.16c Power spectra of line codes: (c) Unipolar RZ signal. The frequency is normalized with respect to the bit rate 1/Tb, and the average power is normalized to unity. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Figure 3.16d Power spectra of line codes: (d) Bipolar RZ signal. The frequency is normalized with respect to the bit rate 1/Tb, and the average power is normalized to unity. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Haykin/Communication Systems, 4th Ed
Figure 3.16e Power spectra of line codes: (e) Manchester-encoded signal. The frequency is normalized with respect to the bit rate 1/Tb, and the average power is normalized to unity. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Pulse-Code Modulation (Cont’d)
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Noise in PCM Systems ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.17 (a) Original binary data. (b) Differentially encoded data, assuming reference bit 1. (c) Waveform of differentially encoded data using unipolar NRZ signaling. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.18 Block diagram of regenerative repeater.
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Time-Division Multiplexing
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Figure 3.19 Block diagram of TDM system.
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Digital Multiplexers ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.20 Conceptual diagram of multiplexing-demultiplexing.
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Digital Multiplexers (Continued)
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Digital Multiplexers (Continued)
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Figure 3.21 Signal format of AT&T M12 multiplexer.
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Virtues and Limitations of PCM
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Delta Modulation (DM) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Delta Modulation (Cont’d)
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Delta Modulation (Cont’d)
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Figure 3.22 Illustration of delta modulation.
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Figure 3.23 DM system. (a) Transmitter. (b) Receiver.
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Figure 3.24 Illustration of the two different forms of quantization error in delta modulation. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Delta-Sigma Modulation
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Figure 3.25 Two equivalent versions of delta-sigma modulation system.
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Linear Prediction ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Linear Prediction (Continued)
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Linear Prediction (Continued)
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Figure 3.26 Block diagram of a linear prediction filter of order p.
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Figure 3.27 Block diagram illustrating the linear adaptive prediction process. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Differential PCM (DPCM)
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Differential PCM (Continued)
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Figure 3.28 DPCM system. (a) Transmitter. (b) Receiver.
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Adaptive DPCM ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Adaptive DPCM (Continued)
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Figure 3.29 Adaptive quantization with backward estimation (AQB).
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Figure 3.30 Adaptive prediction with backward estimation (APB).
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Computer Experiment: Adaptive delta Modulation
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Figure 3.31 Adaptive delta modulation system: (a) Transmitter. (b) Receiver. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.32 Waveforms resulting from the computer experiment on delta modulation: (a) Linear delta modulation. (b) Adaptive delta modulation. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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MPEG/Audio Coding System
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MPEG/Audio Coding System (Continued)
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Figure 3.33 Illustrating the definitions of masking threshold and related parameters. The high-level signal (masker) lies inside the darker-shaded critical band, hence the masking is more effective in this band than in the neighboring band shown in lighter shading. (Adapted from Noll (1998) with permission of the CRC Press.) ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure 3.34 MPEG/Audio coding system. (a) Transmitter. (b) Receiver.
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Figure P3.5 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure P3.22 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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Figure P3.37 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/16/2018
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