# Introduction to RF & Wireless Communications Systems

Part of the National Instruments Measurement Fundamentals series, this tutorial covers an introduction to RF, wireless, and high-frequency signals and systems.

### Overview

This tutorial is part of the National Instruments Measurement Fundamentals series. Each tutorial in this series teaches you a specific topic of common measurement applications by explaining the theory and giving practical examples. This tutorial covers an introduction to RF, wireless, and high-frequency signals and systems.

For the complete list of tutorials, return to the NI Measurement Fundamentals Main page, or for more RF tutorials, refer to the NI RF Fundamentals Main subpage.

### 1. Marconi and the First Wireless Transmissions

Radio Frequency (RF) and wireless have been around for over a century with Alexander Popov and Sir Oliver Lodge laying the groundwork for Guglielmo Marconi’s wireless radio developments in the early 20th century. In December 1901, Marconi performed his most prominent experiment, where he successfully transmitted Morse code from Cornwall, England, to St John’s, Canada.

### 2. What is RF?

RF itself has become synonymous with wireless and high-frequency signals, describing anything from AM radio between 535 kHz and 1605 kHz to computer local area networks (LANs) at 2.4 GHz. However, RF has traditionally defined frequencies from a few kHz to roughly 1 GHz. If one considers microwave frequencies as RF, this range extends to 300 GHz. The following two tables outline the various nomenclatures for the frequency bands. The third table outlines some of the applications at each of the various frequency bands.

Table 1: Frequency Band Designations

Table 1 shows a relationship between frequency (f) and wavelength (λ). A wave or sinusoid can be completely described by either its frequency or its wavelength. They are inversely proportional to each other and related to the speed of light through a particular medium. The relationship in a vacuum is shown in the following equation:

where c is the speed of light. As frequency increases, wavelength decreases. For reference, a 1 GHz wave has a wavelength of roughly 1 foot, and a 100 MHz wave has a wavelength of roughly 10 feet.

Table 2: Microwave Letter Band Designations

Table 3: Frequency Applications and Allocations in the U.S.

RF measurement methodology can generally be divided into three major categories: spectral analysis, vector analysis, and network analysis. Spectrum analyzers, which provide basic measurement capabilities, are the most popular type of RF instrument in many general-purpose applications. Specifically, using a spectrum analyzer you can view power-vs-frequency information, and can sometimes demodulate analog formats, such as amplitude modulation (AM), frequency modulation (FM), and phase modulation (PM).

Vector instruments include vector or real-time signal analyzers and generators. These instruments analyze and generate broadband waveforms, and capture time, frequency, phase, and power information from signals of interest. These instruments are much more powerful than spectrum analyzers and offer excellent modulation control and signal analysis.

Network analyzers, on the other hand, are typically used for making S-parameter measurements and other characterization measurements on RF or high-frequency components. Network analyzers are instruments that correlate both the generation and analysis on multiple channels but at a much higher price than spectrum analyzers and vector signal generators/analyzers.

### 3. Why Operate at Higher Frequencies?

From Table 3 we notice that the frequency spectrum is quite fragmented and dense. This encompasses one of the reasons that we are constantly pushing applications into higher and higher frequencies. However, some of the other reasons accounting for this push into higher frequencies include efficiency in propagation, immunity to some forms of noise and impairments as well as the size of the antenna required. The antenna size is typically related to the wavelength of the signal and in practice is usually ¼ wavelength.

This leads to a very interesting question. Typically, data is structured and easily represented at low frequencies; how can we represent it or physically translate it to these higher RF frequencies? For example, the human audible range is from 20 Hz to 20 kHz. According to the Nyquist theorem, we can completely represent the human audible range by sampling at 40 kHz or, more precisely, at 44.1 kHz (this is where stereo audio is sampled). Cell phones, however, operate at around 850 MHz. How does this happen?

### 4. Frequency Shifting through Frequency Mixing

Much of the study of RF and high-frequency measurements occurs in the frequency domain. There is a duality between the time-domain functions and those same functions represented in the frequency-domain. Figure 1 depicts frequency shifting the human audible range to transmit through cellular frequencies. The most common way to frequency shift is called mixing, which is equivalent to multiplying your signal by a sinusoidal signal. The following mathematical trigonometric identity demonstrates this fact.

Therefore, by beating two sine waves against each other, you get both sum and difference frequencies. You can shift an entire signal to a new frequency range (either up or down in spectrum) by selecting the appropriate value of . In addition, any signal can be represented as the sum of sinusoidal signals of different frequencies. Thus, shifting a signal simply applies the “multiplication” to all its sinusoidal components.

Figure 1: Frequency Shifting the Human Audible Range to the Cellular Range

NOTE: The process of taking audible sound and transmitting over cellular frequencies (850 MHz) includes more than simply mixing. To make the signal more resistant to noise and other impairments, the process includes encoding and modulating the data as well as perhaps using multiple stages of mixing instead of a single stage.

### 5. Looking for more RF Basics?

Engineers who are new to RF or looking for a a refresher course can attend a 3-Day National Instruments RF Fundamentals Training Course to explore traditional measurements, learn about digital and analog modulation, examine modern system-level tests such as BER, MER, and EVM, and more.

### 6. Relevant NI Products

Customers interested in this topic were also interested in the following NI products:

### 7. Conclusions

This document is meant to provide a brief overview and introduction to RF, wireless, and high-frequency signals. Additional information can be found in Teaching and Research Resources for RF and Communications.

For the complete list of tutorials, return to the NI Measurement Fundamentals Main page or for more RF tutorials refer to the NI RF Fundamentals Main subpage.