What is the basic unit of frequency? What are the conversion relationships?
The SI base unit of frequency is the hertz, symbol Hz, named after German physicist Heinrich Hertz. 1Hz means 1 vibration per second (1Hz=1/s). Common decimal-multiple units: 1 kHz (kilohertz) = 1000 Hz = 10³ Hz; 1 MHz (megahertz) = 1000 kHz = 10⁶ Hz; 1 GHz (gigahertz) = 1000 MHz = 10⁹ Hz. Each level is a factor of 1000. For example, 2.4GHz = 2,400,000,000 Hz; medium-wave AM broadcast at 1000kHz = 1MHz.
What is the relationship between frequency f and period T?
Frequency and period are reciprocals of each other: T = 1/f, f = 1/T. Frequency represents vibrations per second; period represents the time for one vibration. For example, 50Hz mains power corresponds to period T=1/50=0.02 seconds=20 milliseconds; a 1kHz signal has period 1ms; a 1MHz signal has period 1μs; a 1GHz signal has period 1ns. Higher frequency means shorter period; GHz-level signals have periods of just 1 nanosecond, making them very sensitive to PCB trace length (1ns≈30cm light-speed propagation distance).
How do you convert between frequency and wavelength?
The relationship between electromagnetic wave wavelength λ and frequency f is: λ = c/f, where c≈3×10⁸m/s (speed of light). For example, FM broadcast at 100MHz corresponds to wavelength λ=3×10⁸/10⁸=3 meters; WiFi 2.4GHz corresponds to wavelength 12.5cm; WiFi 5GHz corresponds to wavelength 6cm; 4G LTE 1.8GHz corresponds to 16.7cm. Wavelength determines antenna size (common dipole antenna length=λ/2 or λ/4); higher frequency means shorter wavelength and smaller antennas.
What scenarios use Hz-level frequencies (1~999Hz)?
Hz is the most fundamental frequency unit. Typical applications: mains power frequency 50Hz (China/Europe), 60Hz (USA/Japan); low-frequency segment of human audible range 20Hz~20kHz; music standard pitch A4=440Hz; normal heartbeat 60~100 bpm≈1~1.7Hz; seismic waves below a few Hz; brainwave alpha waves 8~13Hz; low-end CPU clocks like 32.768kHz real-time clock crystals (RTC) are at kHz level; mechanical vibration, motor rotational frequency, etc.
What scenarios use kHz-level frequencies (1~999kHz)?
kHz covers: full audio band 20Hz~20kHz; ultrasonic cleaning/ranging 20kHz~200kHz; medium-wave AM broadcast 530~1710kHz; switching power supply operating frequencies from tens to hundreds of kHz (common 65kHz/100kHz/200kHz/400kHz); DC-DC converters, flyback/forward converters; I²S audio sample rates 44.1kHz/48kHz/96kHz/192kHz; RTC crystal 32.768kHz; intermediate frequency amplifiers; PLC power line carrier 10~500kHz; bioelectric signal acquisition.
What scenarios use MHz-level frequencies (1~999MHz)?
MHz covers extremely wide applications: FM broadcast 88~108MHz; shortwave/ultra-shortwave communications 3~30MHz (HF), 30~300MHz (VHF); aviation communications 118~136MHz; walkie-talkie VHF/UHF bands; RFID 13.56MHz (NFC), 868/915MHz; FM radios, TV broadcast; MCU/CPU clocks from tens to hundreds of MHz (STM32 commonly 72/168/400MHz); USB 480Mbps high-speed signals; Bluetooth 2.4GHz (crosses into GHz); FM/FSK wireless modules 315/433MHz.
What scenarios use GHz-level frequencies (1GHz and above)?
GHz covers modern high-speed communications and computing: WiFi 2.4GHz/5GHz/6GHz (Wi-Fi 6E); Bluetooth 2.4GHz; microwave ovens 2.45GHz; 4G LTE 700MHz~2.6GHz (partially enters GHz); 5G Sub-6GHz bands and millimeter wave 24~40GHz; satellite communications C/Ku/Ka bands (4~40GHz); modern PC/mobile CPUs 2~4GHz multi-core; DDR memory clocks 1.6~6.4GHz; USB 3.x 5/10Gbps; PCIe/SerDes; radar, microwave ranging; UWB ultra-wideband 3~10GHz.
What is the human audible frequency range? Why are 44.1kHz/48kHz commonly used for audio sample rates?
Human audible range is approximately 20Hz~20kHz (high-frequency hearing declines with age; adults typically only hear up to 15~17kHz). According to the Nyquist sampling theorem, the sample rate must be greater than twice the highest signal frequency to reconstruct without distortion. CD-quality sample rate 44.1kHz covers 20kHz audio (2×20k=40k<44.1k) with a small transition band margin; professional audio/video commonly uses 48kHz (synchronized with video frame rates); Hi-Res high-resolution audio uses 88.2/96/192kHz to preserve more airiness and overtones.
What are common crystal oscillator frequencies?
Common quartz crystal frequencies: 32.768kHz (RTC real-time clock, 2^15 convenient for dividing down to 1 second); 8MHz, 12MHz, 16MHz (classic MCU/USB/AVR clocks); 11.0592MHz (for precise serial baud rate division); 25MHz (Ethernet MII); 24MHz (USB full-speed); 27MHz (USB high-speed, video); 14.31818MHz (derived from NTSC color subcarrier, old PC system clock); 48MHz (USB); 50MHz (FPGA/PCIe reference clock).
What is the typical division of Hz/kHz/MHz/GHz in wireless communication bands?
International Telecommunication Union (ITU) band designations: ELF extremely low frequency <3kHz (power/submarine communications); VLF very low frequency 3~30kHz (longwave navigation); LF low frequency 30~300kHz (longwave broadcast/AM Europe); MF medium frequency 300~3000kHz (medium-wave AM broadcast 530~1710kHz); HF high frequency 3~30MHz (shortwave communications, radio SW band); VHF very high frequency 30~300MHz (FM broadcast 88~108MHz, TV, walkie-talkies); UHF ultra high frequency 300~3000MHz (4G, WiFi 2.4G, Bluetooth, walkie-talkies); SHF super high frequency 3~30GHz (WiFi 5G, 5G Sub-6, microwave, satellite); EHF extremely high frequency 30~300GHz (millimeter wave 5G, radar).
Is higher CPU clock speed in GHz always faster? What is the relationship between clock speed, period, and instruction execution?
CPU clock speed represents clock cycles per second; 1GHz = 1 billion clock cycles per second. Each clock cycle T=1/f is the CPU's most basic time unit; for example, a 3GHz CPU has a cycle of about 0.33ns. Generally, for CPUs of the same architecture, higher clock speed means faster execution, but different architectures cannot be simply compared by GHz (e.g., ARM and x86 have different instructions per cycle, IPC). Overclocking means raising the clock speed to a higher GHz value, but increases heat and power consumption. In recent years, multi-core + improving IPC have become more common than simply cranking up GHz.
Which frequency units does this tool support? Why no THz, rpm, BPM?
This tool supports 4 SI frequency units: Hz (hertz), kHz (kilohertz), MHz (megahertz), GHz (gigahertz), covering over 99% of daily use scenarios in electronic engineering, radio, audio, and communications. THz (terahertz=10¹²Hz) is mainly used in extremely specialized research fields like terahertz spectroscopy and security imaging; rpm (revolutions per minute) is a mechanical rotational speed unit, 1rpm≈0.0167Hz, belonging to the mechanical domain; BPM (beats per minute) is a music tempo unit, normal 60~180BPM≈1~3Hz. We will evaluate adding higher-frequency units if needed in the future.