📡 信号与系统工具📡 Signals & Systems Tools

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📡 信号与系统工具📡 Signals & Systems Tools

共 27个免费在线工具

一阶系统上升时间计算器First Order Rise上升时间（t_r ≈ 2.2·τ）Estimate first order system rise time from the time constant tau 二阶系统峰值时间计算器Peak Time 2nd二阶系统峰值时间计算器：输入阻尼比 ζ 与固有频率 ω_n，求阶跃响应达到首个峰值的时间，用于控制系统动态分析。Compute second order system peak time from damping ratio and natural frequency 单位反馈稳态误差计算器Steady State Error阶跃稳态误差（e_ss = 1 / (1 + K_p)）Steady-state error e_ss = 1/(1+K_p) of a type 0 unity feedback system under a step input 奈奎斯特最大码率计算器Bit Rate Nyquist输入信道带宽 B 与每符号电平数 M，按 R_max = 2B·log₂(M) 求奈奎斯特最大无码间串扰码率，用于通信信道容量估算。Bit Rate Nyquist 功率比转分贝计算器DB Power Ratio功率分贝比值计算器：输入两功率 P1、P2，按 10·log₁₀(P1/P2) 求分贝比值，用于功率增益与损耗表达。DB Power Ratio 电压比转分贝计算器DB Voltage Ratio电压分贝比值计算器：输入两电压 V1、V2，按 20·log₁₀(V1/V2) 求分贝比值，用于电压增益与衰减表达。DB Voltage Ratio 调幅调制指数计算器Mod Index Am由调制波与载波幅度求调幅指数AM modulation index m = Am/Ac, checking over-modulation 调频调制指数计算器Mod Index Fm由频偏与调制频率求调频指数FM modulation index β = Δf/fm from peak deviation and modulating frequency 占空比计算器Duty Cycle输入导通时间 ton 与周期 T，按 D = ton / T × 100% 计算占空比，用于 PWM 调光、电机调速与开关电源波形的占空比参数设计。Duty Cycle PLL 锁定范围计算器Pll Lock Range锁定范围（Δf = K_v · V_max）PLL lock range Δf = K_v·V_max from VCO gain and the control voltage range 二阶系统固有频率计算器Natural Frequency 2nd固有频率（ω_n = √(k/m)）Compute second order system natural frequency from stiffness and mass 离散信号能量计算器Energy Discrete输入离散采样序列（空格或逗号分隔），按 E = Σ x[n]² 计算数字信号的总能量，用于 DSP 作业、波形幅度分析与功率估计。Total energy E = Σx[n]² of a discrete sample sequence, for DSP and waveform analysis 载波频率计算器Carrier Freq载波频率计算器：输入上边带与下边带频率，按 f_c = (f_upper + f_lower)/2 求载波频率，用于调制信号分析。Carrier Freq 级联增益计算器Cascade Gain DB由各级增益(dB)求总增益Cascade Gain DB RC 截止频率计算器Rc Cutoff−3dB 截止（f_c = 1 / (2π·R·C)）−3 dB cutoff frequency f_c = 1/(2π·R·C) of an RC circuit 电压增益分贝计算器Gain DB增益（G = 20·log₁₀(V_out / V_in)）Compute voltage gain in decibels from output and input voltages FFT 频率分辨率计算器Fft Resolution频率分辨率（Δf = f_s / N）Frequency resolution Δf = fs/N from sampling rate and FFT length, for spectrum analysis PWM 平均电压计算器Pwm Average平均电压（V_avg = D · V_cc）Compute PWM average output voltage from duty cycle and supply voltage 二阶系统阻尼比计算器Damping Ratio阻尼比（ζ = c / (2√(k·m))）Damping Ratio 信号功率计算器Signal Power输入电压有效值 V 与负载电阻 R，按 P = V_rms² / R 计算信号功率，用于匹配网络、放大器输出与传输线功率损耗估算。Signal power P = V_rms² / R from RMS voltage and load 奈奎斯特采样率计算器Nyquist Rate奈奎斯特采样（f_s ≥ 2·f_max）Compute the Nyquist minimum sampling rate from the highest signal frequency 正弦波有效值计算器Sine Rms有效值（V_rms = V_pk / √2）RMS value of a sine wave: V_rms = V_pk / √2 信噪比(SNR)计算器Snr DB由信号功率与噪声功率求信噪比Signal-to-noise ratio SNR = 10·log₁₀(Ps/Pn) in dB 傅里叶级数基频计算器Fourier Base基频（f₀ = 1 / T）Compute the fundamental frequency of a periodic signal from its period 群时延计算器Group Delay由相位差与角频率差求群时延Group delay from phase and angular frequency differences, for filter analysis 品质因数 Q 计算器Q Factor由中心频率与带宽求品质因数Quality factor Q = f₀ / Δf from centre frequency and bandwidth 谐振带宽计算器Bandwidth Q由中心频率与品质因数求带宽Bandwidth Q
📖关于「信号与系统工具」About Signals & Systems Tools▼

📝栏目简介

信号与系统工具集合收录了 27 个免费在线工具，覆盖信号与系统场景下的常见计算、换算与查询需求。无论你是相关领域的从业者、学生还是普通用户，都能在这里找到即用即走的实用小工具。所有工具纯前端运行，数据不上传服务器，保护隐私安全。This collection gathers 27 free online Signals & Systems tools for everyday calculations, conversions and lookups. Whether you are a professional, a student or a casual user, you will find handy tools you can use right away. Everything runs client-side — no data is uploaded.

✨核心功能与适用场景

本页收录的信号与系统工具包括（部分代表工具）：Featured Signals & Systems tools on this page include:

  • 一阶系统上升时间计算器First Order Rise
  • 单位反馈稳态误差计算器Steady State Error
  • 奈奎斯特最大码率计算器Bit Rate Nyquist
  • 功率比转分贝计算器DB Power Ratio
  • 调幅调制指数计算器Mod Index Am
  • 占空比计算器Duty Cycle
  • PLL 锁定范围计算器Pll Lock Range
  • 二阶系统固有频率计算器Natural Frequency 2nd
  • 载波频率计算器Carrier Freq
  • RC 截止频率计算器Rc Cutoff
  • 电压增益分贝计算器Gain DB
  • FFT 频率分辨率计算器Fft Resolution
  • 二阶系统阻尼比计算器Damping Ratio
  • 奈奎斯特采样率计算器Nyquist Rate
  • 正弦波有效值计算器Sine Rms
  • 信噪比(SNR)计算器Snr DB
  • 群时延计算器Group Delay
  • 谐振带宽计算器Bandwidth Q

这些工具帮助你快速完成信号与系统相关的常见任务，无需记忆复杂公式或手动换算，输入即可得结果。These tools help you complete Signals & Systems tasks quickly — no formulas to memorise and no manual conversion, just enter your values and get the result.

❓常见问题

信号与系统分类下的工具需要下载或注册吗？Do Signals & Systems tools require any download or sign-up?

不需要。本页 27 个信号与系统工具（如一阶系统上升时间计算器、单位反馈稳态误差计算器、奈奎斯特最大码率计算器、功率比转分贝计算器、调幅调制指数计算器、占空比计算器）都是纯前端页面，打开网页即可使用，无需安装软件、无需注册账号；输入的数据只在你的浏览器内处理，不会上传服务器。No. The 27 Signals & Systems tools on this page (including First Order Rise, Steady State Error, Bit Rate Nyquist, DB Power Ratio, Mod Index Am, Duty Cycle) are pure front-end pages: just open them and start using. No software to install, no account needed, and anything you enter is processed inside your browser — never uploaded.

信号与系统工具的结果能直接用于医疗、法律或财务决策吗？Can the results be used directly for medical, legal or financial decisions?

不能直接作为决策依据。本页工具多为通用计算、换算与查询，结果仅供日常参考；涉及诊断、诉讼、投资、工程验收等专业场景，请以权威标准、原始仪器读数或持证专业人士的结论为准。所有运算都在本地完成，数据不上传。No — treat them as everyday references only. Most tools here are general-purpose calculators, converters and lookups; for diagnosis, litigation, investment or engineering acceptance, rely on authoritative standards, raw instrument readings or a licensed professional. Everything is computed locally and nothing is uploaded.