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William Stallings Data and Computer Communications Chapter 5 Data Encoding 1 Data Communication Basics Analog or Digital Three Components Data Signal Transmission 2 Analog Data Choices analog line analog voice telephone analog voice digitized voice digital line Codec 01101000110 Codec: coder and decoder 3 Digital Data Choices analog line moduated data modem data data digital line DSU 01101000110 DSU: data service unit 4 Encoding Techniques Digital data, digital signal Analog data, digital signal Digital data, analog signal Analog data, analog signal 5 Transmission Choices Analog transmission only transmits analog signals, without regard for data content attenuation overcome with amplifiers Digital transmission transmits analog or digital signals uses repeaters rather than amplifiers 6 Advantages of Digital Transmission The signal is exact Signals can be checked for errors Noise/interference are easily filtered out A variety of services can be offered over one line Higher bandwidth is possible with data compression 7 Encoding schemes Analog data, Analog signal voice analog CODEC analog Modem digital analog Telephone Digital data, Analog signal digital Analog data, Digital signal Digital data, Digital signal digital Digital transmitter digital 8 Encoding and Modulation x(t) x(t) g(t) digital or analog Encoder digital g(t) Decoder t s(f) s(t) m(t) Modulator digital or analog m(t) Demodulator analog fc f fc 9 Why encoding? Three factors determine successfulness of receiving a signal S/N (Signal to Noise Ratio) data rate bandwidth 10 Encoding Schemes' evaluation factors Signal spectrum Clocking Error detection Signal interference & noise immunity Cost and complexity 11 Digital Data, Digital Signal / Characteristics Digital signal Uses discrete, discontinuous, voltage pulses Each pulse is a signal element Binary data is encoded into signal elements 12 Terms (1) Unipolar All signal elements have same sign Polar One logic state represented by positive voltage the other by negative voltage Data rate Rate of data transmission in bits per second Duration or length of a bit Time taken for transmitter to emit the bit 13 Terms (2) Modulation rate Rate at which the signal level changes Measured in baud = signal elements per second Mark and Space Binary 1 and Binary 0 respectively 14 Interpreting Signals Need to know Timing of bits - when they start and end Signal levels Factors affecting successful interpretation of signals: Signal to noise ratio Data rate Bandwidth 15 Comparison of Encoding Schemes (1) Signal Spectrum Lack of high frequencies reduces required bandwidth Lack of dc component allows ac coupling via transformer, providing isolation It is important to concentrate power in the middle of the bandwidth Clocking issues Synchronizing transmitter and receiver is essential External clock is one way used for synchronization Synchronizing mechanism based on signal is also used & preferred (over using an external clock) 16 Mean square voltage per unit bandwidth Spectral density 1.5 1 NRZ-L, NRZI B8ZS,HDB3 AMI, Pseudoternary 0.5 Manchester, Differential Manchester 0 -0.5 0 0.5 1 1.5 Normalized frequency (f/r) 17 Comparison of Encoding Schemes (2) Error detection Can be built into signal encoding Signal interference and noise immunity Some codes are better than others Cost and complexity Higher signal rate (& thus data rate) lead to higher costs Some codes require signal rate greater than data rate 18 Encoding Schemes Nonreturn to Zero-Level (NRZ-L) Nonreturn to Zero Inverted (NRZI) Bipolar -AMI (Alternate Mark Inversion) Pseudoternary Manchester Differential Manchester B8ZS HDB3 19 Digital data, Digital signal 0 1 0 0 1 1 0 0 0 1 1 NRZ NRZI Bipolar -AMI Pseudoternary Manchester Differential Manchester 20 Nonreturn to Zero-Level (NRZ-L) Two different voltages for 0 and 1 bits Voltage constant during bit interval Most often, negative voltage for one value and positive for the other 21 Nonreturn to Zero Inverted Nonreturn to zero inverted on ones Constant voltage pulse for duration of bit Data encoded as presence or absence of signal transition at beginning of bit time Transition (low to high or high to low) denotes a binary 1 No transition denotes binary 0 An example of differential encoding (Data represented by changes rather than levels) 22 NRZ 23 NRZ pros and cons Pros Easy to engineer Makes good use of bandwidth Cons dc component Lack of synchronization capability Used for magnetic recording Not often used for signal transmission 24 Multilevel Binary Use more than two levels Bipolar-AMI zero represented by no line signal one represented by positive or negative pulse one pulses alternate in polarity No loss of sync if a long string of ones happens (zeros still a problem) No net dc component Can use a transformer for isolating transmission line Lower bandwidth Easy error detection 25 Pseudoternary One represented by absence of line signal Zero represented by alternating positive and negative No advantage or disadvantage over bipolar-AMI 26 Bipolar-AMI and Pseudoternary 27 Trade Off for Multilevel Binary Not as efficient as NRZ With multi-level binary coding, the line signal may take on one of 3 levels, but each signal element, which could represent log23 = 1.58 bits of information, bears only one bit of information Receiver must distinguish between three levels (+A, -A, 0) Requires approx. 3dB more signal power for same probability of bit error 28 Biphase Manchester Transition in middle of each bit period Transition serves as clock and data Low to high represents one High to low represents zero Used by IEEE 802.3 (Ethernet) Differential Manchester Midbit transition is for clocking only Transition at start of a bit period represents zero No transition at start of a bit period represents one Note: this is a differential encoding scheme Used by IEEE 802.5 (Token Ring) 29 Biphase Pros and Cons Con At least one transition per bit time and possibly two Maximum modulation rate is twice NRZ Requires more bandwidth Pros Synchronization on mid bit transition (self clocking) No dc component Error detection Absence of expected transition points to error in transmission 30 Modulation Rate R=Data Rate=bits/sec=1 Mbps for both cases Modulation Rate=Baud Rate=Rate at which signal elements are generated=R for NRZI=2R for Manchester 31 Scrambling Techniques Used to reduce signaling rate relative to the data rate by replacing sequences that would produce constant voltage for a priod of time with a filling sequence that accomplishes the following goals: Must produce enough transitions to maintain syncchronization Must be recognized by receiver and replaced with original data sequence is same length as original sequence No dc component No long sequences of zero level line signal No reduction in data rate Error detection capability As an example, fax machines use the modified Huffman code to accomplish this. 32 B8ZS Bipolar With 8 Zeros Substitution Based on bipolar-AMI If octet of all zeros and last voltage pulse preceding was positive, encode as 000+-0-+ If octet of all zeros and last voltage pulse preceding was negative, encode as 000-+0+Causes two violations of AMI code This is unlikely to occur as a result of noise Receiver detects and interprets the sequence as octet of all zeros 33 HDB3 High Density Bipolar 3 Zeros Based on bipolar-AMI String of four zeros replaced with one or two pulses Note: The following is the explanation for the HDB3 code example on the next slide (see rules in Table 5.4, page 142): Assuming that an odd number of 1's have occurred since the last substitution, since the polarity of the preceding pulse is "-", then the first 4 zeros are replaced by "000-". For the next 4 zeros, since there have been no Bipolar pulses since the 1st substitution, then they are replaced by"+00+" since the preceding pulse is a "-". For the 3rd case where 4 zeros happen, 2 (even) Bipolar pulses have happened since the last substitution and the polarity of the preceding pulse is "+", so "-00-" is substituted for the zeros. 34 B8ZS and HDB3 (Assume odd number of 1s since last substitution) See Table 5.4 for HDB3 Substitution Rules 35 Digital Data, Analog Signal Transmitting digital data through PSTN (Public telephone system) 300Hz to 3400Hz bandwidth modem (modulator-demodulator) is used to convert digital data to analog signal and vice versa Three basic modulation techniques are used: Amplitude shift keying (ASK) Frequency shift keying (FSK) Phase shift keying (PSK) 36 Modulation Techniques 37 Amplitude Shift Keying Values represented by different amplitudes of carrier Usually, one amplitude is zero i.e. presence and absence of carrier is used Susceptible to sudden gain changes Inefficient Up to 1200bps on voice grade lines Used over optical fiber 38 ASK Vd(t) Vc(t) VASK(t) Signal power frequency spectrum fc-3f0 fc-f0 fc fc+f0 fc+3f0 Frequency 39 Frequency Shift Keying Values represented by different frequencies (near carrier) Less susceptible to error than ASK Up to 1200bps on voice grade lines High frequency radio (3-30 MHz) Higher frequency on LANs using co-ax 40 FSK Data signa l Carrier 1 v1(t) Carrier 2 v2(t) vd(t) vFSK(t) Signal power frequency spectrum Frequency f1 f2 41 FSK in modem (on Voice Grade Line) Amplitude PSTN bandwidth 400 1180 1650 (1270) (2025) 1850 980 (2225) (1070) 3400 Frequency(Hz) frequency spectrum 42 Phase Shift Keying Phase of carrier signal is shifted to represent data Differential PSK Phase shifted relative to previous transmission rather than some reference signal 43 PSK Data Signal vc(t) Carrier vc(t) Phase coherent vPSK(t) Differential v’PSK(t) bit rate = signaling rate Differential example: for every logic 1, 180 degree phase shift 180=0 0=1 phase diagram 44 Quadrature PSK More efficient use by each signal element representing more than one bit e.g. shifts of /2 (90o) Each element represents two bits Can use 8 phase angles and have more than one amplitude 9600bps modems use 12 angles , four of which have two amplitudes 45 Multilevel modulation method 00 0° 01 10 11 +90° +180° +270° bit rate = n x signaling rate 46 Multilevel modulation method +90°=01 +180°=10 0°=00 +270°=11 16-QAM phase diagram 4-PSK phase diagram 47 Performance of Digital to Analog Modulation Schemes Bandwidth ASK and PSK bandwidth directly related to bit rate FSK bandwidth related to data rate for lower frequencies requires more analog bandwidth than ASK (See Stallings for math) In the presence of noise, bit error rate of PSK and QPSK are about 3dB superior to ASK and FSK 48 Analog Data, Digital Signal Digitization Conversion of analog data into digital data Digital data can then be transmitted using NRZ-L or using other codes Digital data can then be converted to analog signal Analog to digital conversion done using a codec Pulse code modulation Delta modulation 49 Analog data, Digital signal Two principle techniques used PCM (Pulse Code Modulation) DM (Delta Modulation) Sampling clock Analog voice signal Sampling Circuit PAM signal PCM signal Quantizer and compander Digitized voice signal 50 Pulse Code Modulation(PCM) (1) If a signal is sampled at regular intervals at a rate higher than twice the highest signal frequency, the samples contain all the information of the original signal (Proof - Stallings appendix 4A) Voice data limited to below 4000Hz Require 8000 sample per second Analog samples (Pulse Amplitude Modulation, PAM) Each sample assigned digital value 51 Pulse Code Modulation(PCM) (2) 4 bit system gives 16 levels Quantized Quantizing error or noise Approximations mean it is impossible to recover original exactly 8 bit sample gives 256 levels Quality comparable with analog transmission 8000 samples per second of 8 bits each gives 64kbps 52 The process starts with an analog signal, which is sampled by PAM sample. the resulting pulse are quantized to produced PCM pulses and then encoded to produce bit stream. At the receiver end, the process is reversed to reproduce the analog signal. 53 PCM Sampling signal based on nyquist theorem Original signal PAM pulse PCM pulse with quantized error 3.2 3 4 2.8 3.4 3 3 4.2 1.2 4 1 011 PCM output 3.9 100 011 011 001 100 011100011011001100 54 Nonlinear Encoding Quantization levels are not necessarily equally spaced. The problem with equal spacing is that the mean absolute error for each sample is the same, regardless the signal level. Lower amplitude values are relatively more distorted. Nonlinear encoding reduces overall signal distortion Can also be done by companding 55 Nonlinear encoding 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Quantizing level 15 14 13 Strong signal Weak signal 12 11 10 9 8 76 5 4 3 2 1 0 Without nonlinear encoding With nonlinear encoding 56 Prior to the input signal being sampled and converted by ADC into a digital form, it is passed through a circuit known as a compressor. Similarly, at the destination, the reverse operation is perform on the output of the DAC by a circuit known as expander. 57 Delta Modulation Analog input is approximated by a staircase function Move up or down one level () at each sample interval Binary behavior Function moves up or down at each sample interval 58 Delta Modulation - example 59 Delta Modulation - Performance Good voice reproduction PCM - 128 levels (7 bit) Voice bandwidth 4khz Should be 8000 x 7 = 56kbps for PCM Data compression can improve on this e.g. Interframe coding techniques for video 60 Analog Data, Analog Signals Why modulate analog signals? Higher frequency can give more efficient transmission Permits frequency division multiplexing (chapter 8) Types of modulation Amplitude Frequency Phase 61 Analog Modulation 62 Spread Spectrum Analog or digital data Analog signal Spread data over wide bandwidth Makes jamming and interception harder 2 schemes are used: Frequency hoping Signal broadcast over seemingly random series of frequencies Direct Sequence Each bit is represented by multiple bits in transmitted signal known as a chipping code 63