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Doppler Shift in LEO Satellite IoT Communications: Principles and Magnitude Characteristics

As a key component of the 6G network architecture, low Earth orbit (LEO) satellite IoT communication systems are profoundly reshaping the global communication landscape. Compared with traditional geostationary Earth orbit (GEO) satellites, LEO satellites exhibit significant technical advantages owing to their unique orbital characteristics. However, the Doppler shift caused by their high-speed movement has become a critical factor constraining the communication performance of such systems. Starting from the characteristics of LEO satellite IoT communication systems, this paper analyzes the physical principle and mathematical model of Doppler shift, elaborates on its magnitude characteristics in the LEO satellite environment, and summarizes its core impacts and basic countermeasures.
 
Doppler Shift in LEO Satellite IoT Communications: Principles and Magnitude Characteristics
 

1. Core Characteristics of LEO Satellite IoT Communication Systems

 
LEO satellites operate at an orbital altitude of 500–2000 km above the Earth’s surface, moving at a high speed of 7.5–7.8 km/s. A single satellite covers a range of approximately several hundred kilometers, with a transmission delay of only 20–50 ms, close to that of terrestrial 4G networks. Such low-latency and wide-coverage features make LEO satellites a core enabler for global seamless IoT connectivity. Nevertheless, the high-speed relative motion between satellites and ground terminals makes Doppler shift a key issue that must be prioritized in system design.
 

2. Physical Principle and Mathematical Model of Doppler Shift

 
Doppler shift is a physical phenomenon in which the frequency of a received signal deviates when there is relative motion between a wave source and a receiver. In LEO satellite IoT communications, this effect is particularly pronounced due to the high-speed relative motion between satellites and ground terminals.
 
Its basic mathematical model is:
 
 
where is the Doppler frequency offset (Hz), is the satellite-ground radial velocity (m/s), is the speed of light ( m/s), and is the original transmit frequency of the signal (Hz). When the satellite approaches the ground station, the received frequency is higher than the transmit frequency, showing a blue shift; when the satellite moves away, the received frequency is lower, showing a red shift.
 
 
Combined with the geometric relationship of LEO satellite orbital motion, Doppler shift can be further derived from parameters including satellite orbital velocity, Earth radius, carrier frequency, orbital altitude and elevation angle. The Doppler shift is zero when the satellite is directly overhead the ground terminal (elevation angle 90°); as the satellite moves, the shift gradually increases and reaches its maximum when the satellite nears the horizon.
 

3. Magnitude Characteristics of Doppler Shift in the LEO Satellite Environment

 
The magnitude of Doppler shift in the LEO satellite environment is significantly higher than that in other satellite orbit types, and exhibits frequency-dependent and fast time-varying characteristics. All relevant magnitude data comply with 3GPP Technical Report TR 38.811.
 
In terms of frequency dependence:
 
  • In the S-band (2–4 GHz), LEO satellites at 600 km altitude can produce a maximum Doppler shift of up to ±48 kHz, with a frequency shift rate of 0.27 ppm/s;
  • In the Ku-band (12 GHz), LEO satellites at 780 km altitude can generate a Doppler shift of approximately 325.5 kHz;
  • The value in the K-band is about 423.2 kHz;
  • In the Ka-band (26–40 GHz), the Doppler shift can reach up to ±480 kHz to ±600 kHz.
 
Specifically, the Doppler shift caused by LEO satellites at 600 km altitude in the S-band is about 24 ppm, and the shift corresponding to a transmit frequency of 25.995 GHz in the Ka-band can reach hundreds of kHz.
 
In terms of temporal characteristics, Doppler shift in LEO satellite communications is fast time-varying, changing by tens of kHz within a few seconds, which imposes extremely high requirements on the frequency shift tracking capability of receivers. The Doppler frequency curve is generally inverse S-shaped with a ramped time-varying characteristic:
 
  • When the satellite just rises above the horizon, the positive Doppler frequency is maximized, while the Doppler frequency rate is small;
  • When the satellite passes the point of maximum elevation, the Doppler shift is zero, but the Doppler rate reaches its maximum;
  • The variation law of Doppler shift also shows obvious differences under different maximum elevation angles.
 

4. Core Conclusions on the Impacts of Doppler Shift

 
Doppler shift affects LEO satellite IoT communications in multiple dimensions, including data transmission and positioning functions, with significant differences across frequency bands. The effect can be effectively mitigated through technical means, and reasonable selection of system parameters is also critical to ensuring reliable communication.
 

4.1 Impacts on Data Transmission

 
Doppler shift causes quantifiable performance degradation:
 
  • A 24 ppm shift from a 600 km-altitude satellite in the S-band can degrade the bit error rate in file transmission from to or lower, reducing the transmission rate by 20–40%;
  • In real-time monitoring scenarios, a maximum shift of 200 kHz and a rate of 0.27 ppm/s pose severe challenges to delay control and continuous transmission stability.
 

4.2 Impacts on Positioning

 
Doppler shift is one of the main sources of positioning error in LEO satellite systems:
 
  • Single-satellite positioning can converge to 200 m accuracy within 8 minutes, with a converged root-mean-square (RMS) error of approximately 85 m;
  • Constellation positioning achieves an average accuracy of 7.8 m.
 
Positioning bias also shows obvious geographical variations: high-latitude regions, with more visible satellites, achieve optimal accuracy up to 1.7 m, while low-latitude regions, with fewer visible satellites, have a reduced accuracy of 6.8 m.
 

4.3 Frequency Band Dependence

 
Doppler shift magnitudes differ by orders of magnitude across frequency bands. Although higher bands face greater technical challenges, they offer advantages such as large bandwidth and small antenna size, making them irreplaceable for high-rate applications.
 

4.4 Technical Countermeasures

 
Comprehensive adoption of digital signal processing, system architecture optimization and network protocol improvement can effectively alleviate Doppler shift, including dual-mode compensation, OTFS modulation, and AI-driven pre-compensation. Among these, AI can reduce the frequency shift prediction residual by 30–50% and lower the satellite handover failure rate from 8% to 0.5%.
 
To ensure reliable communication under Doppler effects, system parameters should be carefully selected, favoring low carrier frequencies, narrow bandwidths, appropriate spreading factors, suitable orbital altitudes and differential modulation. For example, a configuration of 560 km altitude, 433 MHz carrier frequency, 125 kHz bandwidth and SF12 can achieve a packet delivery rate above 82%, serving as a reference boundary for LEO satellite IoT system design.

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