Mobile Communications Chapter 2: Wireless Transmission � Frequencies � Multiplexing � Signals � Spread spectrum � Antennas � Modulation � Signal propagation � Cellular systems Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.1
Frequencies for communication twisted coax cable optical transmission pair 100 µ m 1 µ m 1 Mm 10 km 100 m 1 m 10 mm 300 Hz 30 kHz 3 MHz 300 MHz 30 GHz 3 THz 300 THz VLF LF MF HF VHF UHF SHF EHF infrared visible light UV VLF = Very Low Frequency UHF = Ultra High Frequency LF = Low Frequency SHF = Super High Frequency MF = Medium Frequency EHF = Extra High Frequency HF = High Frequency UV = Ultraviolet Light VHF = Very High Frequency Frequency and wave length: λ = c/f wave length λ , speed of light c ≅ 3x10 8 m/s, frequency f Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.2
Frequencies for mobile communication � VLF, LF, MF HF not used for wireless � VHF-/UHF-ranges for mobile radio � simple, small antenna for cars � deterministic propagation characteristics, reliable connections � SHF and higher for directed radio links, satellite communication � small antenna, beam forming � large bandwidth available � Wireless LANs use frequencies in UHF to SHF range � some systems planned up to EHF � limitations due to absorption by water and oxygen molecules (resonance frequencies) � weather dependent fading. E.g signal loss caused by heavy rain Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.3
Frequencies and regulations ITU-R holds auctions for new frequencies, manages frequency bands worldwide (WRC, World Radio Conferences) Europe USA Japan Cellular GSM 450-457, 479- AMPS , TDMA , CDMA PDC Phones 486/460-467,489- 824-849, 810-826, 496, 890-915/935- 869-894 940-956, 960, TDMA , CDMA , GSM 1429-1465, 1710-1785/1805- 1850-1910, 1477-1513 1880 1930-1990 UMTS (FDD) 1920- 1980, 2110-2190 UMTS (TDD) 1900- 1920, 2020-2025 Cordless CT1+ 885-887, 930- PACS 1850-1910, 1930- PHS Phones 932 1990 1895-1918 CT2 PACS-UB 1910-1930 JCT 864-868 254-380 DECT 1880-1900 Wireless IEEE 802.11 IEEE 802.11 902-928 LANs 2400-2483 IEEE 802.11 2471-2497 HIPERLAN 2 2400-2483 5150-5250 5150-5350, 5470- 5150-5350, 5725-5825 5725 Others RF-Control RF-Control RF-Control 315, 915 426, 868 27, 128, 418, 433, 868 Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.4
Signals I � physical representation of data � function of time and location � signal parameters: parameters representing the value of data � classification � continuous time/discrete time � continuous values/discrete values � analog signal = continuous time and continuous values � digital signal = discrete time and discrete values � signal parameters of periodic signals: period T, frequency f=1/T, amplitude A, phase shift ϕ � sine wave as special periodic signal for a carrier: s(t) = A t sin(2 π f t t + ϕ t ) Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.5
Fourier representation of periodic signals ∞ ∞ 1 ∑ ∑ = + π + π g ( t ) c a sin( 2 nft ) b cos( 2 nft ) n n 2 = = n 1 n 1 1 1 0 0 t t ideal periodic signal real composition (based on harmonics) Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.6
Fourier Transforms and Harmonics Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.7
Signals II � Different representations of signals � amplitude (amplitude domain) � frequency spectrum (frequency domain) � phase state diagram (amplitude M and phase ϕ in polar coordinates) Q = M sin ϕ A [V] A [V] t[s] ϕ I= M cos ϕ ϕ f [Hz] � Composed signals transferred into frequency domain using Fourier transformation � Digital signals need � infinite frequencies for perfect transmission � modulation with a carrier frequency for transmission (analog signal!) Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.8
Antennas: isotropic radiator � Radiation and reception of electromagnetic waves, coupling of wires to space for radio transmission � Isotropic radiator: equal radiation in all directions (three dimensional) - only a theoretical reference antenna � Real antennas always have directive effects (vertically and/or horizontally) � Radiation pattern: measurement of radiation around an antenna z y z ideal y x x isotropic radiator Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.9
Antennas: simple dipoles � Real antennas are not isotropic radiators but, e.g., dipoles with lengths λ /4 on car roofs or λ /2 as Hertzian dipole � shape of antenna proportional to wavelength λ /4 λ /2 � Example: Radiation pattern of a simple Hertzian dipole y y z simple x z x dipole side view (xy-plane) side view (yz-plane) top view (xz-plane) � Gain: maximum power in the direction of the main lobe compared to the power of an isotropic radiator (with the same average power) Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.10
Antennas: directed and sectorized Often used for microwave connections or base stations for mobile phones (e.g., radio coverage of a valley) y y z directed antenna x z x side view (xy-plane) side view (yz-plane) top view (xz-plane) z z sectorized x x antenna top view, 3 sector top view, 6 sector Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.11
Antennas: diversity � Grouping of 2 or more antennas � multi-element antenna arrays � Antenna diversity � switched diversity, selection diversity � receiver chooses antenna with largest output � diversity combining � combine output power to produce gain � cophasing needed to avoid cancellation λ /2 λ /2 λ /4 λ /2 λ /4 λ /2 + + ground plane Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.12
Signal propagation ranges Transmission range � communication possible � low error rate Detection range � detection of the signal possible � no communication sender possible Interference range transmission � signal may not be distance detected detection � signal adds to the interference background noise Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.13
Signal propagation Propagation in free space always like light (straight line) Receiving power proportional to 1/d² in vacuum – much more in real environments (d = distance between sender and receiver) Receiving power additionally influenced by � fading (frequency dependent) � shadowing � reflection at large obstacles refraction depending on the density of a medium � scattering at small obstacles � diffraction at edges � refraction shadowing reflection scattering diffraction Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.14
Real world example Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.15
Multipath propagation Signal can take many different paths between sender and receiver due to reflection, scattering, diffraction multipath LOS pulses pulses signal at sender signal at receiver Time dispersion: signal is dispersed over time � interference with “neighbor” symbols, Inter Symbol Interference (ISI) The signal reaches a receiver directly and phase shifted � distorted signal depending on the phases of the different parts Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.16
Effects of mobility Channel characteristics change over time and location � signal paths change � different delay variations of different signal parts � different phases of signal parts � quick changes in the power received (short term fading) Additional changes in long term power � distance to sender fading � obstacles further away � slow changes in the average power received (long term fading) t short term fading Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.17
Multiplexing channels k i Multiplexing in 4 dimensions � space (s i ) k 1 k 2 k 3 k 4 k 5 k 6 � time (t) c � frequency (f) � code (c) t c t Goal: multiple use s 1 f of a shared medium s 2 f c Important: guard spaces needed! t s 3 f Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.18
Frequency multiplex Separation of the whole spectrum into smaller frequency bands A channel gets a certain band of the spectrum for the whole time Advantages: � no dynamic coordination necessary k 1 k 2 k 3 k 4 k 5 k 6 � works also for analog signals c f Disadvantages: � waste of bandwidth if the traffic is distributed unevenly � inflexible � guard spaces t Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.19
Time multiplex A channel gets the whole spectrum for a certain amount of time Advantages: � only one carrier in the medium at any time � throughput high even k 1 k 2 k 3 k 4 k 5 k 6 for many users c Disadvantages: f � precise synchronization necessary t Prof. Dr.-Ing. Jochen Schiller, http://www.jochenschiller.de/ MC SS05 2.20
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