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1 Antennas Orbits Modulation Noise Link Budgets David L. Akin - All rights reserved
2 The Problem Pointing Loss Polarization Loss Atmospheric Loss, Rain Loss Space Loss Pointing Loss Transmitter Antenna SPACE CHANNEL Receiver Power Amplifier Galactic, Star, Terrestrial Noise Antenna Transmitter Modulator Receiver Noise Receiver Encoder Command & Data Handling (C&DH) Information Implementation Loss Demodulator Decoder Compression Information Data Satellite transmitter-to-receiver link with typical loss and noise sources 2 Decompression
3 Antennas Receive & transmit RF (radio frequency) energy Size/type selected directly related to frequency/required gain Omni Antenna (idealized) Gain Pattern Directional (Hi-Gain) Antenna dbi Isotropic antenna Omni Antenna (typical) -3 db Beamwidth Gain is relative to isotropic with units of dbi Side Lobes Boresight Peak Gain = X dbi 3
4 Orbit Considerations UNIVERSITY OF 4
5 Ground Station Coverage 5
6 Ground Station Coverage Florida ground station with spacecraft altitudes 400, 800, and 1200 km 400 km 800 km 1200 km 6 Merritt Island
7 Ground Station Coverage Ground station elevation angles of 0, 10, and 20 degrees 7
8 Ground Station Coverage Effects of terrain and antenna limitations Another antenna Building Antenna limits 8
9 Ground Station Coverage Hawaii (HAW3), Alaska (AGIS), Wallops Island (WPSA), Svalbard (SGIS), McMurdo (MCMS) AGIS Svalbar d WPSA HAW3 MCMS 9
10 Frequency Bands S-Band 2-3 GHz Space operation, Earth exploration, Space research X-Band 7-8 GHz Earth exploration, Space research Ku-Band GHz Space research Loss from rain Ka-Band GHz Inter-satellite, Earth exploration Radio TV VHF S-Band C-Band X-Band Ku-Band Ka-Band W-Band Lasers 10
11 Types of Modulation Amplitude Modulation s(t) = A [1 + m(t)] cos(2πf c t) Easy to implement Poor noise performance Frequency Modulation x(t) = A cos[2π 0->t (f c + f m(τ))dτ] Requires frequency lock loop Polarization Modulation s(t) = A cos[2πf c t + βm(t)] Requires phase lock loop Most digital modulation techniques involve PM 11
12 Polarization Orientation of electric field vector Shape traced by the end of the vector at a fixed location, as observed along the direction of propagation Some confusion over left hand/right hand conventions Linear Polarization Vertical Linear Polarization Horizontal Circular Polarization Left hand Circular Polarization Right hand 12
13 Digital Modulation Techniques On-Off Keying (OOK) Frequency Shift Keying (FSK) Bi-Phase Shift Keying (BPSK) Quadrature Phase Shift Keying (QPSK) BPSK 13 QPSK
14 Noise Any signal that isn t part of the information sent Signal noise Amplitude noise error in the magnitude of a signal Phase noise error in the frequency / phase modulation System Noise Component passive noise Component active noise (amplifiers, mixers, etc ) Environmental Noise Atmospheric noise Galactic noise Precipitation 14
15 Signal Noise Amplitude Noise Phase Noise 15
16 System Noise All real components generate thermal noise due to the random motion of atoms Passive devices thermal noise is directly related to the temperature of the device, its bandwidth, and the frequency of operation Noise is generated by thermal vibration of bound charges A moving charge generates an electromagnetic signal Passive components include Resistive loads (power loads) Cables & other such things (like waveguides) 16
17 Environmental Noise Rain loss, particularly in the Ku band Snow is not a problem Lightning Stars, galaxies, planets Human interference 17
18 Noise Temperature Noise temperature provides a way of determining how much thermal noise is generated in the receiving system The physical noise temperature of a device, T n, results in a noise power of P n = KT n B K = Boltzmann s constant = 1.38 x J/K; K in dbw = dbw/k T n = Noise temperature of source in Kelvin B = Bandwidth of power measurement device in hertz Satellite communications systems work with weak signals, so reduce the noise in the receiver as far as possible Generally the receiver bandwidth is just large enough to pass the signal Liquid helium can hold the physical temperature down 18
19 S/N and NF Signal to Noise Ratio Most common description of the quantity of noise in a transmission Noise Figure S/N of input divided by S/N of output for a given device (or devices) in a communications system Related to the noise temperature of a device: T d = T 0 (NF - 1) T 0 = reference temperature, usually 290 K 19
20 System Noise Temperature Example 1: Gain = 0 dbi T sky = 50 3 db LNA Downconverter IF AMP RECEIVER Loss = L NF LNA = 2 db = G LNA = 35 db = W NF DC = 10 db = 10 G DC = 30 db = 1000 W NF IF = 10 db = 10 G IF = 30 db = 1000 W NF R = 10 db = 10 G R = 30 db = 1000 W T Reference Point Reference Point = 0 db System Noise Temperature T s K T o is reference temperature of each device = 290 K (assumed) T s = *0.585*290 + (2*10*290 /3162.3) * (1 + 1/1, /1,000,000) T s = K = db 20
21 System Noise Temperature Example 2: Gain = 0 dbi T sky = 50 3 db LNA Downconverter IF AMP RECEIVER Loss = L NF LNA = 2 db = G LNA = 35 db = W NF DC = 10 db = 10 G DC = 30 db = 1000 W NF IF = 10 db = 10 G IF = 30 db = 1000 W NF R = 10 db = 10 G R = 30 db = 1000 W T Reference Point Reference Point = -3 db System Noise Temperature T s K T s T sky + (1 )T o + ( NF LNA 1)T o + ( NF 1)T PC o G LNA T o is reference temperature of each device = 290 K (assumed) + ( NF 1)T IF o +... G LNA G DC T s = *0.585*290 + (2*10*290 /3162.3) * (1 + 1/1, /1,000,000) T s = K = db 21
22 G/T Figure of Merit Gain at a reference point, divided by the system noise temperature at that reference point Example 1: 0 db gain dbk = db Example 2: -3 db gain dbk = db Higher G/T = better Earth station (This one isn t very good) 22
23 BER and E b /N o The rate at which bits are corrupted beyond the capacity to reconstruct them is called the BER (Bit Error Rate). A BER of less than 1 in 100,000 bits (a BER of 10-5 ) is generally desired for an average satellite communications channel. For some types of data, an even smaller BER is desired (10-7 ). The BER is directly dependent on the E b /N o, which is the ratio of Bit Energy to Noise Density. Since noise density is difficult to control, this means that BER can be reduced by using a higher power signal, or by controlling other parameters to increase the energy transmitted per bit. The BER will decrease (fewer errors) if the E b /N o increases. 23
24 Link Margin Received E b /N o minus required E b /N o (in db) Required E b /N o found by adding losses to the expected E b /N o for the BER (which varies with encoding scheme used) E b N o Req d db = E b Margin = E b N o N o Theoretical for BER recieved db E b N o + Other System Losses db Req d db 24
25 Diagram of a Link Budget QPSK Σ Losses = 0.67 db Polarization loss db space 2575 KM and 5 elevation 0.45 db atmospheric loss 1.2 db rain loss I = 75 MBPS MHz Encoder & Transmitter Loss = 1.13 db SPACE 11m Ground Antenna LNA Receiver Q = 75 MBPS Gain = 4.84 dbi G/T = 33.3 db/k data 11.6 dbw dbw dbw I Q Decoder Alaska SAR Facility 11 meter antenna Implementation Loss = 2.0 db MARGIN = 5.94 db Decoded Data 25
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