실시간 근거리 영상화를 위한 MIMO 역합성 개구 레이더 시스템

학위논문(박사) -- 서울대학교대학원 : 공과대학 전기·정보공학부, 2022. 8. 남상욱.Microwave and millimeter wave (micro/mmW) imaging systems have advantages over other imaging systems in that they have penetration properties over non-metallic structures and non-ionization. However, these systems are commercially applicable in limited areas. Depending on the quality and size of the images, a system can be expensive and images cannot be provided in real-time. To overcome the challenges of the current micro/mmW imaging system, it is critical to suggest a new system concept and prove its potential benefits and hazards by demonstrating the testbed. This dissertation presents Ku1DMIC, a wide-band micro/mmW imaging system using Ku-band and 1D-MIMO array, which can overcome the challenges above. For cost-effective 3D imaging capabilities, Ku1DMIC uses 1D-MIMO array configuration and inverse synthetic aperture radar (ISAR) technique. At the same time, Ku1DMIC supports real-time data acquisition through a system-level design of a seamless interface with frequency modulated continuous wave (FMCW) radar. To show the feasibility of 3D imaging with Ku1DMIC and its real-time capabilities, an accelerated imaging algorithm, 1D-MIMO-ISAR RSA, is proposed and demonstrated. The detailed contributions of the dissertation are as follows. First, this dissertation presents Ku1DMIC – a Ku-band MIMO frequency-modulated continuous-wave (FMCW) radar experimental platform with real-time 2D near-field imaging capabilities. The proposed system uses Ku-band to cover the wider illumination area given the limited number of antennas and uses a fast ramp and wide-band FMCW waveform for rapid radar data acquisition while providing high-resolution images. The key design aspect behind the platform is stability, reconfigurability, and real-time capabilities, which allows investigating the exploration of the system’s strengths and weaknesses. To satisfy the design aspect, a digitally assisted platform is proposed and realized based on an AMD-Xilinx UltraScale+ Radio Frequency System on Chip (RFSoC). The experimental investigation for real-time 2D imaging has proved the ability of video-rate imaging at around 60 frames per second. Second, a waveform digital pre-distortion (DPD) method and calibration method are proposed to enhance the image quality. Even if a clean FMCW waveform is generated with the aid of the optimized waveform generator, the signal will inevitably suffer from distortion, especially in the RF subsystem of the platform. In near-field imaging applications, the waveform DPD is not effective at suppressing distortion in wide-band FMCW radar systems. To solve this issue, the LO-DPD architecture and binary search based DPD algorithm are proposed to make the waveform DPD effective in Ku1DMIC. Furthermore, an image-domain optimization correction method is proposed to compensate for the remaining errors that cannot be eliminated by the waveform DPD. For robustness to various unwanted signals such as noise and clutter signals, two regularized least squares problems are applied and compared: the generalized Tikhonov regularization and the total variation (TV) regularization. Through various 2D imaging experiments, it is confirmed that both methods can enhance the image quality by reducing the sidelobe level. Lastly, the research is conducted to realize real-time 3D imaging by applying the ISAR technique to Ku1DMIC. The realization of real-time 3D imaging using 1D-MIMO array configuration is impactful in that this configuration can significantly reduce the costs of the 3D imaging system and enable imaging of moving objects. To this end, the signal model for the 1D-MIMO-ISAR configuration is presented, and then the 1D-MIMO-ISAR range stacking algorithm (RSA) is proposed to accelerate the imaging reconstruction process. The proposed 1D-MIMO-ISAR RSA can reconstruct images within hundreds of milliseconds while maintaining almost the same image quality as the back-projection algorithm, bringing potential use for real-time 3D imaging. It also describes strategies for setting ROI, considering the real-world situations in which objects enter and exit the field of view, and allocating GPU memory. Extensive simulations and experiments have demonstrated the feasibility and potential benefits of 1D-MIMO-IASR configuration and 1D-MIMO-ISAR RSA.마이크로파 및 밀리미터파(micro/mmW) 영상화 시스템은 비금속 구조 및 비이온화에 비해 침투 특성이 있다는 점에서 다른 이미징 시스템에 비해 장점이 있다. 그러나 이러한 시스템은 제한된 영역에서만 상업적으로 적용되고 있다. 이미지의 품질과 크기에 따라 시스템이 매우 고가일 수 있으며 이미지를 실시간으로 제공할 수 없는 현황이다. 현재의 micro/mmW 이미징 시스템의 문제를 극복하려면 새로운 시스템 개념을 제안하고 테스트베드를 시연하여 잠재적인 이점과 위험을 입증하는 것이 중요하다. 본 논문에서는 Ku-band와 1D-MIMO 어레이를 이용한 광대역 micro/mmW 이미징 시스템인 Ku1DMIC를 제안하여 위와 같은 문제점을 극복할 수 있다. 비용 효율적인 3차원 영상화 기능을 위해 Ku1DMIC는 1D-MIMO 배열 기술과 ISAR(Inverse Synthetic Aperture Radar) 기술을 사용한다. 동시에 Ku1DMIC는 주파수 변조 연속파 (FMCW) 레이더와의 원활한 인터페이스의 시스템 수준 설계를 통해 실시간 데이터 수집을 지원한다. Ku1DMIC를 사용한 3차원 영상화의 구현 및 실시간 기능의 가능성을 보여주기 위해, 2차원 영상화를 위한 1D-MIMO RSA과 3차원 영상화를 위한 1D-MIMO-ISAR RSA가 제안되고 Ku1DMIC에서 구현된다. 따라서, 본 학위 논문의 주요 기여는 Ku-band 1D-MIMO 배열 기반 영상화 시스템 프로토타입을 개발 및 테스트하고, ISAR 기반 3차원 영상화 기능을 검사하고, 실시간 3차원 영상화 가능성을 조사하는 것이다. 이에 대한 세부적인 기여 항목은 다음과 같다. 첫째, 실시간 2D 근거리장 이미징 기능을 갖춘 Ku 대역 MIMO 주파수 변조 연속파(FMCW) 레이더 실험 플랫폼인 Ku1DMIC를 제시한다. 제안하는 시스템은 제한된 수의 안테나에서 더 넓은 조명 영역을 커버하기 위해 Ku 대역을 사용하고 고해상도 이미지를 제공하면서 빠른 레이더 데이터 수집을 위해 고속 램프 및 광대역 FMCW 파형을 사용한다. 플랫폼의 핵심 설계 원칙은 안정성, 재구성 가능성 및 실시간 기능으로 시스템의 강점과 약점을 광범위하게 탐색한다. 설계 원칙을 만족시키기 위해 AMD-Xilinx UltraScale+ RFSoC(Radio Frequency System on Chip)를 기반으로 디지털 지원 플랫폼을 제안하고 구현한다. 실시간 2D 이미징에 대한 실험적 조사는 초당 약 60프레임에서 비디오 속도 이미징의 능력을 입증했다. 둘째, 영상 품질 향상을 위한 파형 디지털 전치왜곡(DPD) 방법과 보정 방법을 제안한다. 최적화된 파형 발생기의 도움으로 깨끗한 FMCW 파형이 생성되더라도 특히 플랫폼의 RF 하위 시스템에서 신호는 필연적으로 왜곡을 겪게된다. 근거리 영상화 응용 분야에서는 파형 DPD는 광대역 FMCW 레이더 시스템의 왜곡을 억제하는 데 효과적이지 않다. 이 문제를 해결하기 위해 Ku1DMIC에서 파형 DPD가 유효하도록 LO-DPD 아키텍처와 이진 탐색 기반 DPD 알고리즘을 제안한다. 또한, 파형 DPD로 제거할 수 없는 나머지 오류를 보상하기 위해 이미지 영역 최적화 보정 방법을 제안한다. 노이즈 및 클러터 신호와 같은 다양한 원치 않는 신호에 대한 견고성을 위해 일반화된 Tikhonov 정규화 및 전체 변동(TV) 정규화라는 두 가지 정규화된 최소 자승 문제를 적용 후 비교한다. 다양한 2차원 영상화 실험을 통해 두 방법 모두 부엽 레벨을 줄여 화질을 향상시킬 수 있음을 확인한다. 마지막으로, ISAR 기법을 2차원 영상 플랫폼에 적용하여 실시간 3차원 영상을 구현하기 위한 연구를 진행한다. 1D-MIMO-ISAR 구성에서 실시간 3D 이미징의 구현은 이러한 구성이 3D 이미징 시스템의 비용을 크게 줄일 수 있다는 점에서 영향력이 있다. 따라서 이 논문에서는 1D-MIMO-ISAR 구성에 대한 이미징 재구성을 가속화하기 위해 1D-MIMO-ISAR 범위 스태킹 알고리즘(RSA)을 제안한다. 제안된 1D-MIMO-ISAR RSA는 널리 알려진 Back-Projection 알고리즘과 거의 동일한 이미지 품질을 유지하면서도 수백 밀리초 이내에 이미지를 재구성함으로써 실시간 영상화에 대한 가능성을 보여준다. 또한 물체가 시야에 들어오고 나가는 실제 상황을 고려하기 위한 ROI 설정, 그리고 메모리 할당에 대한 전략을 설명한다. 광범위한 시뮬레이션과 실험을 통해 1D-MIMO-IASR 구성 및 1D-MIMO-ISAR RSA의 가능성과 잠재적 이점을 확인한다.1 INTRODUCTION 1 1.1 Microwave and millimeter-wave imaging 1 1.2 Imaging with radar system 2 1.3 Challenges and motivation 5 1.4 Outline of the dissertation 8 2 FUNDAMENTAL OF TWO-DIMENSIONAL IMAGING USING A MIMO RADAR 9 2.1 Signal model 9 2.2 Consideration of waveform 12 2.3 Image reconstruction algorithm 16 2.3.1 Back-projection algorithm 16 2.3.2 1D-MIMO range-migration algorithm 20 2.3.3 1D-MIMO range stacking algorithm 27 2.4 Sampling criteria and resolution 31 2.5 Simulation results 36 3 MIMO-FMCW RADAR IMPLEMENTATION WITH 16 TX - 16 RX ONE- DIMENSIONAL ARRAYS 46 3.1 Wide-band FMCW waveform generator architecture 46 3.2 Overall system architecture 48 3.3 Antenna and RF transceiver module 53 3.4 Wide-band FMCW waveform generator 55 3.5 FPGA-based digital hardware design 63 3.6 System integration and software design 71 3.7 Testing and measurement 75 3.7.1 Chirp waveform measurement 75 3.7.2 Range profile measurement 77 3.7.3 2-D imaging test 79 4 METHODS OF IMAGE QUALITY ENHANCEMENT 84 4.1 Signal model 84 4.2 Digital pre-distortion of chirp signal 86 4.2.1 Proposed DPD hardware system 86 4.2.2 Proposed DPD algorithm 88 4.2.3 Measurement results 90 4.3 Robust calibration method for signal distortion 97 4.3.1 Signal model 98 4.3.2 Problem formulation 99 4.3.3 Measurement results 105 5 THREE-DIMENSIONAL IMAGING USING 1-D ARRAY SYSTEM AND ISAR TECHNIQUE 110 5.1 Formulation for 1D-MIMO-ISAR RSA 111 5.2 Algorithm implementation 114 5.3 Simulation results 120 5.4 Experimental results 122 6 CONCLUSIONS AND FUTURE WORK 127 6.1 Conclusions 127 6.2 Future work 129 6.2.1 Effects of antenna polarization in the Ku-band 129 6.2.2 Forward-looking near-field ISAR configuration 130 6.2.3 Estimation of the movement errors in ISAR configuration 131 Abstract (In Korean) 145 Acknowlegement 148박

Design of Digital FMCW Chirp Synthesizer PLLs Using Continuous-Time Delta-Sigma Time-to-Digital Converters

Radar applications for driver assistance systems and autonomous vehicles have spurred the development of frequency-modulated continuous-wave (FMCW) radar. Continuous signal transmission and high operation frequencies in the K- and W-bands enable radar systems with low power consumption and small form factors. The radar performance depends on high-quality signal sources for chirp generation to ensure accurate and reliable target detection, requiring chirp synthesizers that offer fast frequency settling and low phase noise. Fractional-N phase locked loops (PLLs) are an effective tool for synthesis of FMCW waveform profiles, and advances in CMOS technology have enabled high-performance single-chip CMOS synthesizers for FMCW radar. Design approaches for FMCW chirp synthesizer PLLs need to address the conflicting requirements of fast settling and low close-in phase noise. While integrated PLLs can be implemented as analog or digital PLLs, analog PLLs still dominate for high frequencies. Digital PLLs offer greater programmability and area efficiency than their analog counterparts, but rely on high-resolution time-to-digital converters (TDCs) for low close-in phase noise. Performance limitations of conventional TDCs remain a roadblock for achieving low phase noise with high-frequency digital PLLs. This shortcoming of digital PLLs becomes even more pronounced with wide loop bandwidths as required for FMCW radar. To address this problem, this work presents digital FMCW chirp synthesizer PLLs using continuous-time delta-sigma TDCs. After a discussion of the requirements for PLL-based FMCW chirp synthesizers, this dissertation focuses on digital fractional-N PLL designs based on noise-shaping TDCs that leverage state-of-the-art delta-sigma modulator techniques to achieve low close-in phase noise in wide-bandwidth digital PLLs. First, an analysis of the PLL bandwidth and chirp linearity studies the design requirements for chirp synthesizer PLLs. Based on a model of a complete radar system, the analysis examines the impact of the PLL bandwidth on the radar performance. The modeling approach allows for a straightforward study of the radar accuracy and reliability as functions of the chirp parameters and the PLL configuration. Next, an 18-to-22GHz chirp synthesizer PLL that produces a 25-segment chirp for a 240GHz FMCW radar application is described. This synthesizer design adapts an existing third-order noise-shaping TDC design. A 65nm CMOS prototype achieves a measured close-in phase noise of -88dBc/Hz at 100kHz offset for wide PLL bandwidths and consumes 39.6mW. The prototype drives a radar testbed to demonstrate the effectiveness of the synthesizer design in a complete radar system. Finally, a second-order noise-shaping TDC based on a fourth-order bandpass delta-sigma modulator is introduced. This bandpass delta-sigma TDC leverages the high resolution of a bandpass delta-sigma modulator by sampling a sinusoidal PLL reference and applies digital down-conversion to achieve low TDC noise in the frequency band of interest. Based on the bandpass delta-sigma TDC, a 38GHz digital FMCW chirp synthesizer PLL is designed. The feedback divider applies phase interpolation with a phase rotation scheme to ensure the effectiveness of the low TDC noise. A prototype PLL, fabricated in 40nm CMOS, achieves a measured close-in phase noise of -85dBc/Hz at 100kHz offset for wide loop bandwidths >1MHz and consumes 68mW. It effectively generates fast (500MHz/55us) and precise (824kHz rms frequency error) triangular chirps for FMCW radar. The bandpass delta-sigma TDC achieves a measured integrated rms noise of 325fs in a 1MHz bandwidth.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/147732/1/dweyer_1.pdfDescription of dweyer_1.pdf : Restricted to UM users only

A LINEARIZATION METHOD FOR A UWB VCO-BASED CHIRP GENERATOR USING DUAL COMPENSATION

Ultra-Wideband (UWB) chirp generators are used on Frequency Modulated Continuous Wave (FMCW) radar systems for high-resolution and high-accuracy range measurements. At the Center for Remote Sensing of Ice Sheets (CReSIS), we have developed two UWB radar sensors for high resolution measurements of surface elevation and snow cover over Greenland and Antarctica. These radar systems are routinely operated from both surface and airborne platforms. Low cost implementations of UWB chirp generators are possible using an UWB Voltage Controlled Oscillator (VCO). VCOs possess several advantages over other competing technologies, but their frequency-voltage tuning characteristics are inherently non-linear. This nonlinear relationship between the tuning voltage and the output frequency should be corrected with a linearization system to implement a linear frequency modulated (LFM) waveform, also known as a chirp. If the waveform is not properly linearized, undesired additional frequency modulation is found in the waveform. This additional frequency modulation results in undesired sidebands at the frequency spectrum of the Intermediate Frequency (IF) stage of the FMCW radar. Since the spectrum of the filtered IF stage represents the measured range, the uncorrected nonlinear behavior of the VCO will cause a degradation of the range sensing performance of a FMCW radar. This issue is intensified as the chirp rate and nominal range of the target increase. A linearization method has been developed to linearize the output of a VCO-based chirp generator with 6 GHz of bandwidth. The linearization system is composed of a Phase Lock Loop (PLL) and an external compensation added to the loop. The nonlinear behavior of the VCO was treated as added disturbances to the loop, and a wide loop bandwidth PLL was designed for wideband compensation of these disturbances. Moreover, the PLL requires a loop filter able to attenuate the reference spurs. The PLL has been designed with a loop bandwidth as wide as possible while maintaining the reference spur level below 35 dBc. Several design considerations were made for the large loop bandwidth design. Furthermore, the large variations in the tuning sensitivity of the oscillator forced a design with a large phase margin at the average tuning sensitivity. This design constraint degraded the tracking performance of the PLL. A second compensation signal, externally generated, was added to the compensation signal of the PLL. By adding a compensation signal, which was not affected by the frequency response effects of the loop compensation, the loop tracking error is reduced. This technique enabled us to produce an output chirp signal that is a much closer replica of the scaled version of the reference signal. Furthermore, a type 1 PLL was chosen for improved transient response, compared to that of the type 2 PLL. This type of PLL requires an external compensation to obtain a finite steady state error when applying a frequency ramp to the input. The external compensation signal required to solve this issue was included in the second compensation signal mentioned above. Measurements for the PLL performance and the chirp generator performance were performed in the laboratory using a radar demonstrator. The experimental results show that the designed loop bandwidth was successfully achieved without significantly increasing the spurious signal level. The chirp generator measurements show a direct relationship between the bandwidth of the external compensation and the range resolution performance

Efficient Continuous-Time Sigma-Delta Converters for High Frequency Applications

Over the years Continuous-Time (CT) Sigma-Delta (ΣΔ) modulators have received a lot of attention due to their ability to efficiently digitize a variety of signals, and suitability for many different applications. Because of their tolerance to component mismatch, the easy to drive input structure, as well as intrinsic anti-aliasing filtering and noise shaping abilities, CTΣΔ modulators have become one of the most popular data-converter type for high dynamic range and moderate/wide bandwidth. This trend is the result of faster CMOS technologies along with design innovations such as better architectures and faster amplifiers. In other words, CTΣΔ modulators are starting to offer the best of both worlds, with high resolution and high bandwidth. This dissertation focuses on the bandwidth and resolution of CTΣΔ modulators. The goal of this research is to use the noise shaping benefits of CTΣΔ modulators for different wireless applications, while achieving high resolution and/or wide bandwidth. For this purpose, this research focuses on two different application areas that demand speed and resolution. These are a low-noise high-resolution time-to-digital converter (TDC), ideal for digital phase lock loops (PLL), and a very high-speed, wide-bandwidth CTΣΔ modulator for wireless communication. The first part of this dissertation presents a new noise shaping time-to-digital converter, based on a CTΣΔ modulator. This is intended to reduce the in-band phase noise of a high frequency digital phase lock loop (PLL) without reducing its loop bandwidth. To prove the effectiveness of the proposed TDC, 30GHz and a 40GHz fractional-N digital PLL are designed as a signal sources for a 240GHz FMCW radar system. Both prototypes are fabricated in a 65nm CMOS process. The standalone TDC achieves 81dB dynamic range and 13.2 equivalent number of bits (ENOB) with 176fs integrated-rms noise from 1MHz bandwidth. The in-band phase noise of the 30GHz digital fractional-N PLL is measured as -87dBc/Hz at a 100kHz offset which is equivalent to -212.6dBc/Hz2 normalized in-band phase noise. The second part of this dissertation focuses on high-speed (GS/s) CTΣΔ modulators for wireless communication, and introduces a new time-interleaved reference data weighted averaging (TI-RDWA) architecture suitable for GS/s CTΣΔ modulators. This new architecture shapes the digital-to-analog converter (DAC) mismatch effects in a CTΣΔ modulator at GS/s operating speeds. It allows us to use smaller DAC unit sizes to reduce area and power consumption for the same bandwidth. The prototype 5GS/s CTΣΔ modulator with TI-RDWA is fabricated in 40nm CMOS and it achieves 156MHz bandwidth, 70dB dynamic range, 84dB SFDR and a Schreier FoM of 158.3dB.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/138763/1/bdayanik_1.pd

Millimeter-Wave CMOS Digitally Controlled Oscillators for Automotive Radars

All-Digital-Phase-Locked-Loops (ADPLLs) are ideal for integrated circuit implementations and effectively generate frequency chirps for Frequency-Modulated-Continuous-Wave (FMCW) radar. This dissertation discusses the design requirements for integrated ADPLL, which is used as chirp synthesizer for FMCW automotive radar and focuses on an analysis of the ADPLL performance based on the Digitally-Controlled-Oscillator (DCO) design parameters and the ADPLL configuration. The fundamental principles of the FMCW radar are reviewed and the importance of linear DCO for reliable operation of the synthesizer is discussed. A novel DCO, which achieves linear frequency tuning steps is designed by arranging the available minimum Metal-Oxide-Metal (MoM) capacitor in unique confconfigurations. The DCO prototype fabricated in 65 nm CMOS fullls the requirements of the 77 GHz automotive radar. The resultant linear DCO characterization can effectively drive a chirp generation system in complete FMCW automotive radar synthesizer

Concepts for Short Range Millimeter-wave Miniaturized Radar Systems with Built-in Self-Test

This work explores short-range millimeter wave radar systems, with emphasis on miniaturization and overall system cost reduction. The designing and implementation processes, starting from the system level design considerations and characterization of the individual components to final implementation of the proposed architecture are described briefly. Several D-band radar systems are developed and their functionality and performances are demonstrated

ON FUNDAMENTAL OPERATING PRINCIPLES AND RANGE-DOPPLER ESTIMATION IN MONOLITHIC FREQUENCY-MODULATED CONTINUOUS-WAVE RADAR SENSORS

The diverse application areas of emerging monolithic noncontactradar sensors that are able to measure object’s distance and velocity is expected to grow in the near future to scales that are now nearly inconceivable. A classical concept of frequency-modulated continuous-wave (FMCW) radar, tailored to operate in the millimeter-wave (mm-wave) band, is well-suited to be implemented in the baseline CMOS or BiCMOS process technologies. High volume production could radically cut the cost and decrease the form factorof such sensing devices thus enabling their omnipresence in virtually every field. This introductory paper explains the key concepts of mm-wave sensing starting from a chirp as an essential signal in linear FMCW radars. It further sketches the fundamental operating principles and block structure of contemporary fully integrated homodyne FMCW radars. Crucial radar parameters like the maximum unambiguously measurable distance and speed, as well as rangeand velocity resolutions are specified and derived. The importance of both beat tones in the intermediate frequency (IF) signal and the phase in resolving small spatial perturbations and obtaining the 2-D range-Doppler plot is pointed out. Radar system-level trade-offs and chirp/frame design strategies are explained. Finally, the nonideal and second-order effects are commented and the examples of practical FMCW transmitter and receiver implementations are summarized

High-resolution three-dimensional imaging radar

A three-dimensional imaging radar operating at high frequency e.g., 670 GHz, is disclosed. The active target illumination inherent in radar solves the problem of low signal power and narrow-band detection by using submillimeter heterodyne mixer receivers. A submillimeter imaging radar may use low phase-noise synthesizers and a fast chirper to generate a frequency-modulated continuous-wave (FMCW) waveform. Three-dimensional images are generated through range information derived for each pixel scanned over a target. A peak finding algorithm may be used in processing for each pixel to differentiate material layers of the target. Improved focusing is achieved through a compensation signal sampled from a point source calibration target and applied to received signals from active targets prior to FFT-based range compression to extract and display high-resolution target images. Such an imaging radar has particular application in detecting concealed weapons or contraband

Kolmio- ja ramppiaallot kohteen havaitsemisessa taajuusmoduloidulla kantoaaltotutkalla

The goal of this thesis was to study how a triangular chirp can be used in target detection and parameter estimation with an FMCW radar. The history of radar technology is briefly discussed, and motivation for the research is presented with a review of some FMCW radar applications. The triangular chirp is compared with slow-time processed ramp chirps on a theoretical basis. A method of improving the accuracy of triangular chirps with zero padding is presented. The process of zero padding is demonstrated with a MATLAB example, and then applied to real measurement data. The measurements were performed in an anechoic chamber and an office environment. Range and radial velocity of a single target were considered. A walking person was used as the test target. A highly accurate laser sensor was used as a reference. The results demonstrate that the accuracy of a triangular chirp can be greatly improved with zero padding, which allows much shorter chirps to be used while maintaining a high accuracy. For example, a zero padded 1000 μs long triangular chirp was used to determine the radial velocity of a walking target with an accuracy of approximately 0.25 m/s. In comparison, without zero padding the accuracy was approximately 2 m/s. To reach a comparable accuracy without zero padding, the triangular chirp would have to be significantly longer. At the end of the thesis, topics for further research are proposed.Työssä tutkitaan, kuinka kolmioaaltoa voidaan käyttää havaitun kohteen paikan ja nopeuden määrittämiseen FMCW-tutkalla. Käsittelen alussa lyhyesti tutkien historiaa, ja FMCW-tutkien yleisiä sovelluksia. Kolmioaaltoa verrataan ramppiaaltoon teoreettiselta pohjalta. Esittelen työssä menetelmän kolmioaallon mittaustarkkuuden parantamiseksi lisäämällä näytteistettyyn signaaliin nollia. Menetelmää demonstroidaan MATLAB:illa ja lopulta sovelletaan mitattuun dataan. Mittaukset suoritettiin radiokaiuttomassa huoneessa ja toimistotilassa. Tilaisuuksissa pyrittiin mittaamaan yksittäisen kohteen sijaintia ja liikenopeutta. Mittauskohteena toimi kävelevä ihminen. Mittausten vertailukohteena toimi lasersensori. Saadut tulokset demonstroivat kolmioaallon tarkkuuden olevan merkittävästi parannettavissa esitetyllä menetelmällä. Korkean tarkkuuden säilyttäminen on mahdollista lyhyelläkin kolmioaallolla, joka ilman nollien lisäämistä olisi erittäin epätarkka. Esimerkiksi kävelevän kohteen nopeus mitattiin 1000 μs pituisella kolmioaallolla ja nollien lisäämisellä noin 0.25 m/s tarkkuudella, kun taas ilman nollia tarkkuus oli noin 2 m/s. Ilman nollien lisäystä kolmioaallon pituuden olisi oltava moninkertainen vastaavan tarkkuuden saavuttamiseksi. Työn lopussa esitetään aiheita jatkotutkimukselle