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Fundamentals of Real-Time Spectrum Analysis


The document offers a detailed overview of Real-Time Spectrum Analyzers (RTSAs), discussing their development, functionality, and various applications. It begins with a historical perspective on RF signal technology and its evolution, leading to the complexities in modern radar and communication networks. The core focus is on the architecture and technical capabilities of RTSAs, particularly their ability to analyze dynamic RF signals effectively. It addresses contemporary challenges in spectrum analysis and outlines the use of RTSAs in different scenarios, making it a useful resource for professionals engaged in RF technology.

Table of Contents

Chapter 1: Introduction and Overview

  • The Evolution of RF Signals
  • Modern RF Measurement Challenges
  • A Brief Survey of Instrument Architectures

Chapter 2: How Does the Real-Time Spectrum Analyzer Work?

  • Architecture of the Real-Time Spectrum Analyzer
  • RF/IF Signal Conditioning
  • Input Switching and Routing Section
  • RF and Microwave Sections
  • Frequency Conversion/IF Section
  • Digital Signal Processing (DSP) Concepts
  • Transforming Time Domain Waveforms to the frequency Domain
  • Digital Filtering
  • Modulation Analysis
  • Power Measurements and Statistics

Chapter 3: Correlation Between Time and Frequency Domain Measurements

  • Integration of Time and Frequency Domain Measurements
  • Spectograms
  • Swept FFT Analysis
  • Time Control of Acquisition and Analysis
  • Time Domain Measurements
  • Pulse Measurements

Chapter 4: Real-Time Spectrum Analyzer Applications

  • Types of Real-Time Analyzers: Laboratory to Field
  • Data Communications: WLAN
  • Data Communications: WPAN
  • Voice and Data Communications: Cellular Radio
  • Radio Communications
  • Video Applications
  • Spectrum Management and Interference Finding
  • Device Testing
  • Radar

Chapter 5: Terminology

  • Glossary of Key Terms in Real-Time Spectrum Analysis
  • Acronym Reference

Chapter 1: Introduction and Overview

The Evolution of RF Signals

Engineers and scientists have been exploring innovative uses for RF technology since the 1860s, following James Clerk Maxwell's mathematical prediction of electromagnetic waves capable of transporting energy across empty space. Heinrich Hertz's physical demonstration of "radio waves" in 1886 laid the groundwork for pioneers like Nikola Tesla and Guglielmo Marconi, who developed long-distance communication methods. By the turn of the century, the radio emerged as the first practical application of RF signals.

Spectrum analysis display

Throughout the next three decades, research focused on transmitting and receiving signals for object detection and location. By World War II, radar (radio detection and ranging) became a significant application of RF technology. Continued growth in the military and communications sectors spurred rapid technological advancements in RF throughout the 20th century. Modern radar systems and communication networks now employ complex RF techniques, including adaptive modulation and frequency hopping, to improve efficiency and avoid detection. The prevalence of RF signals has grown significantly, leading to challenges in avoiding interference among devices. Cellular phones and other devices operating in licensed spectrum must avoid transmitting RF power into adjacent frequency channels. The development of digital RF technologies, such as wireless LANs, cellular phones, and digital TV, has led to more efficient spectrum allocation methodologies.

Spectrogram Display for spectrum analysis

Today's engineers and scientists face the challenge of detecting and characterizing RF signals that change over time. Traditional measurement tools are often inadequate for this task. Tektronix's Real-Time Spectrum Analyzer (RSA) is designed to discover elusive effects in RF signals, trigger on those effects, capture them into memory, and analyze them across various domains. This document explains the workings of the RSA and its applications in modern RF signal analysis.

Modern RF Measurement Challenges

Characterizing the behavior of contemporary RF devices requires understanding how frequency, amplitude, and modulation parameters behave over time. Traditional tools like Swept Spectrum Analyzers (SA) and Vector Signal Analyzers (VSA) offer snapshots of signals, insufficient for analyzing the dynamic nature of modern RF signals. Key challenges include discovering rare, short-duration events, observing signals masked by noise, capturing burst transmissions, and characterizing time-variant modulation schemes. To address these challenges, the Real-Time Spectrum Analyzer (RTSA) was developed, using real-time digital signal processing (DSP) to analyze transient and dynamic RF signals more effectively. The RTSA's architecture allows it to discover events missed by traditional analyzers, trigger on these events, and capture them for in-depth analysis.

A Brief Survey of Instrument Architectures

To understand the RTSA's capabilities, it is helpful to compare it with traditional RF signal analyzers: the Swept Spectrum Analyzer (SA) and the Vector Signal Analyzer (VSA). The SA, with its swept-tuned, superheterodyne architecture, is well-suited for static signals but may miss transient events. The VSA, capable of vector measurements, can store waveforms in memory but is limited in analyzing transient events. The RSA, with its real-time processing engine, overcomes these limitations. It continuously processes samples, allowing for real-time correction of signal path imperfections, advanced triggering mechanisms, and simultaneous analysis in multiple domains. This architecture enables more effective analysis of modern, dynamic RF signals.

Chapter 2: How Does the Real-Time Spectrum Analyzer Work?

Architecture of the Real-Time Spectrum Analyzer

The Real-Time Spectrum Analyzer (RSA) from Tektronix uses an RF downconverter followed by a wideband intermediate frequency (IF) section. Key characteristics of its architecture include:

  • Wide bandwidth IF path and high dynamic range for RF signal conditioning.
  • Bandpass filters for image-free frequency conversion across the entire input frequency range.
  • An ADC system capable of digitizing the entire real-time bandwidth.
  • Real-time digital signal processing (DSP) engine for gapless processing.
  • Sufficient capture memory and DSP power for continuous real-time acquisition.

RF/IF Signal Conditioning

The RSA's RF/IF block diagram demonstrates its signal conditioning process, which includes variable attenuation, multi-stage frequency conversion, and analog filtering. The last IF is digitized, and subsequent processing is done using DSP techniques. Optional baseband modes in some RSA models allow direct digitization of the input signal.

Input Switching and Routing Section

This section in the RSA handles the distribution of input waveforms to various signal paths within the instrument. It includes features like a DC coupled baseband path for analyzing low-frequency signals and internal alignment sources for self-calibration.

RF and Microwave Sections

These sections contain broadband circuitry for conditioning input signals for optimal downstream processing. This includes elements like step attenuators, image reject filters, and optional preamplifiers.

Frequency Conversion/IF Section

The RSA can analyze a broad band of frequencies by converting the band of interest to a fixed IF for digitization and analysis. This involves multi-stage frequency conversion and is integral to the RSA's performance.

Digital Signal Processing (DSP) Concepts

The RSA uses a combination of analog and digital signal processing to convert RF signals into calibrated, multi-domain measurements. The DSP path includes bandpass filtering, digitization, and correction for amplitude flatness and phase linearity. Techniques like digital down conversion (DDC) and decimation are employed for efficient signal representation and processing.

Transforming Time Domain Waveforms to the Frequency Domain

Spectrum analysis in the RSA is achieved through repetitive Discrete Fourier Transforms (DFTs), ensuring that signal processing keeps up with the input signal. This enables the discovery and analysis of transient events in the frequency domain.

Digital Filtering

The RSA uses Finite Impulse Response (FIR) filters for frequency selection and adjustment of analog signal path imperfections. Numerical convolution is employed to filter the signals mathematically.

Modulation Analysis

The RSA is capable of analyzing various modulation formats, including amplitude, frequency, phase modulation, and complex schemes like QAM and OFDM. This involves reconstructing ideal signals, comparing them with actual signals, and performing detailed modulation analysis.

Power Measurements and Statistics

RSAs can perform power measurements in both frequency and time domains. They are also equipped to calculate statistical measurements, such as the Complementary Cumulative Distribution Function (CCDF), to characterize the statistical behavior of modulated signals.

Chapter 3: Correlation Between Time and Frequency Domain Measurements

Integration of Time and Frequency Domain Measurements

Real-Time Spectrum Analyzers (RTSAs) like the Tektronix RSA integrate time and frequency domain measurements effectively. They acquire data in the time domain and convert it to the frequency domain using the discrete Fourier transform. This allows for the precise location of events in both domains.

transformation of a signal from the time domain to the frequency domain

Spectrograms

Spectrograms are valuable for observing spectral features as a function of time, displaying complete spectra over a continuously updated timeline. Two common display methods are the waterfall plot and the color-coded representation. The time resolution of the spectrogram is influenced by the sampling rate of the ADC and the length of the DFT used.

Swept FFT Analysis

For bandwidths exceeding the real-time bandwidth of the spectrum analyzer, multiple real-time spectra can be stitched together. While this process is slower than real-time analysis, it still offers substantial time-saving compared to traditional swept spectrum analyzers. The swept FFT technique can also be applied to DPX analysis, although there are limitations in capturing events during the sweep.

Time Control of Acquisition and Analysis

RTSAs utilize a "Time Overview" window for controlling acquisition and analysis timing. This feature is crucial for analyzing signals like frequency hopping signals, where amplitude vs. time information is key. The window can be adjusted to include multiple pulses or focus on specific segments of the signal.

Time Domain Measurements

Tektronix RTSAs are equipped to make various time-based measurements on RF signals, including frequency vs. time, amplitude or power vs. time, I and Q vs. time, phase vs. time, and various modulation parameters. These measurements are useful for diagnosing transmitter issues and examining how modulation varies over time.

Pulse Measurements

RTSAs are particularly well-suited for pulse measurements, offering automatic pulse measurement software and extensive analysis options. They are specified for system rise/fall time, minimum pulse duration, and modulation bandwidths. For faster rise times and wider bandwidths, SignalVu-PC software can be used with Tektronix DPO70000 Series oscilloscopes.

In summary, Chapter 3 highlights the capability of RTSAs in effectively correlating time and frequency domain measurements, offering advanced features for comprehensive analysis of RF signals.

Chapter 4: Real-Time Spectrum Analyzer Applications

Types of Real-Time Analyzers: Laboratory to Field

Real-time spectrum analyzers (RTSAs) are essential in various application areas. Laboratory benchtop analyzers have evolved over two decades, offering superior real-time bandwidth and RF performance. In contrast, handheld RTSAs offer portability at the cost of some RF performance, suitable for field applications.

Data Communications: WLAN

Wireless Local Area Networks (WLANs), particularly Wi-Fi, have seen significant advancements. Standards like 802.11g, 802.11n, and 802.11ac have evolved, offering various channel bandwidths, spatial streams, and data rates. Testing WLAN transmission with these standards requires spectrum analyzers with adequate real-time bandwidth and linearity.

Data Communications: WPAN

Wireless Personal Area Networks (WPANs), such as Bluetooth and Zigbee, are designed for short-range connections. Bluetooth, for instance, operates in the 2.4 GHz ISM band, with various versions supporting different data rates and modulation schemes. Spectrum analyzers used for testing Bluetooth devices must have low noise and high stability.

Voice and Data Communications: Cellular Radio

Cellular radio, particularly LTE, demands rigorous RF transmission testing. LTE operates on various frequencies and offers different spectrum widths and data rates. Testing LTE transmitters involves verifying power levels and ensuring no unwanted emissions outside the used band.

Radio Communications

Modern radios, increasingly controlled by software, change modulation, power, and frequency dynamically. Tektronix RTSAs offer features like DPX Spectrum and Frequency Mask Trigger, ideal for debugging and analyzing radio communications.

Video Applications

Digital RF in video broadcast, such as DVB-S and DVB-T formats, requires specific testing for modulation types and data rates. RTSAs like the Tektronix RSA306 can monitor video transmission effectively.

Spectrum Management and Interference Finding

RTSAs are crucial in identifying interference in spectrum management. The capability to detect low-level and intermittent interference is essential, and RTSAs with features like Frequency Mask Trigger and DPX display are highly effective.

Device Testing

In mobile communications, challenges like spectral regrowth and power efficiency in amplifiers necessitate advanced testing tools. RTSAs provide critical insights into amplifier designs, offering analysis of modulation quality and adjacent channel power.

Radar

RTSAs simplify radar testing by integrating pulse measurements for both time and frequency domain analysis. They replace multiple traditional tools and can reveal interference components and non-linearities in radar signals.

Chapter 5: Terminology

Glossary of Key Terms in Real-Time Spectrum Analysis

  • Acquisition: A series of time-contiguous samples.
  • Acquisition Time: Duration represented by one acquisition.
  • Amplitude: Magnitude of an electrical signal.
  • Amplitude Modulation (AM): Variation of a sine wave's amplitude based on another signal.
  • Analysis Time: Subset of samples from one block for analysis.
  • Analysis View: Window for displaying real-time measurement results.
  • Carrier: RF signal carrying modulation.
  • Carrier Frequency: Frequency of the carrier signal's CW component.
  • Center Frequency: Midpoint frequency in a spectrum analyzer’s frequency span.
  • CZT (Chirp-Z Transform): Method for efficient DFT computation.
  • CW Signal: Continuous wave signal; a sine wave.
  • dBfs: Decibels relative to full scale.
  • dBm: Decibels relative to 1 milliwatt.
  • dBmV: Decibels relative to 1 millivolt.
  • Decibel (dB): Logarithmic unit for power ratios.
  • DFT (Discrete Fourier Transform): Process to calculate a signal's frequency spectrum.
  • Display Line: Reference line on a waveform display.
  • Distortion: Signal degradation, often due to nonlinear operations.
  • DPX (Digital Phosphor analysis): Methodology for analyzing time-changing signals.
  • Dynamic Range: Ratio of maximum measurable signals to specified accuracy.
  • FFT (Fast Fourier Transform): Efficient DFT computation method.
  • Frequency: Rate of signal oscillation.
  • Frequency Domain View: Power representation of signal components as a function of frequency.
  • Frequency Drift: Gradual frequency change over time.
  • Frequency Mask Trigger: Real-time trigger based on frequency domain events.
  • Frequency Modulation (FM): Frequency variation of a carrier signal.
  • Frequency Range: Operational frequency scope of a device.
  • Frequency Span: Frequency range between two limits.
  • Marker: Point on a waveform for data extraction.
  • Modulate: To vary a signal characteristic for information transmission.
  • Noise: Unwanted disturbances in a signal.
  • Noise Floor: Minimum observable signal level in a system.
  • Noise Bandwidth (NBW): Bandwidth used for calculating noise power.
  • Probability of Intercept: Certainty of signal detection within parameters.
  • Real-Time Bandwidth: Frequency span for seamless real-time capture.
  • Real-Time Seamless Capture: Uninterrupted time domain sample acquisition.
  • Real-Time Spectrum Analysis: Analysis using DFT for continuous bandwidth analysis.
  • Real-Time Spectrum Analyzer: Instrument for measuring RF signals in multiple domains.
  • Reference Level: Uppermost display line level in an analyzer.
  • Resolution Bandwidth (RBW): Narrowest measurable frequency band in a spectrum analyzer.
  • Sensitivity: Ability to display minimum level signals.
  • Spectrogram: Frequency-time-amplitude display.
  • Spectrum: Frequency domain representation of a signal.
  • Spectrum Analysis: Technique to determine a signal's frequency content.
  • Vector Signal Analysis: Modulation analysis considering magnitude and phase.

Acronym Reference

  • ACP: Adjacent Channel Power
  • ADC: Analog-to-Digital Converter
  • AM: Amplitude Modulation
  • BW: Bandwidth
  • CCDF: Complementary Cumulative Distribution Function
  • CDMA: Code Division Multiple Access
  • CW: Continuous Wave
  • dB: Decibel
  • dBfs: dB Full Scale
  • DDC: Digital Downconverter
  • DFT: Discrete Fourier Transform
  • DPX: Digital Phosphor Display, Spectrum, etc.
  • DSP: Digital Signal Processing
  • EVM: Error Vector Magnitude
  • FFT: Fast Fourier Transform
  • FM: Frequency Modulation
  • FSK: Frequency Shift Keying
  • IF: Intermediate Frequency
  • IQ: In-Phase Quadrature
  • LO: Local Oscillator
  • NBW: Noise Bandwidth
  • OFDM: Orthogonal Frequency Division Multiplexing
  • PAR: Peak-Average Ratio
  • PM: Phase Modulation
  • POI: Probability of Intercept
  • PRBS: Pseudorandom Binary Sequence
  • PSK: Phase Shift Keying
  • QAM: Quadrature Amplitude Modulation
  • QPSK: Quadrature Phase Shift Keying
  • RBW: Resolution Bandwidth
  • RF: Radio Frequency
  • RMS: Root Mean Square
  • RTSA: Real-Time Spectrum Analyzer
  • SA: Spectrum Analyzer
  • VSA: Vector Signal Analyzer