窗函数带宽计算器

使用此窗函数带宽计算器快速获得准确的计算结果。

Hz

Minimum 2 (Nyquist), typical 4-8 for practical systems

Minimum Sampling Rate (Nyquist)

40,000 Hz

Practical Sampling Rate40,000 Hz
Data Rate (16-bit mono)640,000 bits/s

Minimum Sampling Rate (Nyquist) vs Maximum Signal Frequency

公式

## How to Determine Sampling Rate The Nyquist theorem states the minimum sampling rate is twice the highest signal frequency. ### Formulas **f_sample_min = 2 x f_max** **f_sample_practical = Oversampling Ratio x f_max** In practice, engineers oversample (4x to 8x or more) because: - Perfect brick-wall anti-aliasing filters do not exist - Oversampling reduces quantization noise - It allows simpler, cheaper analog filters

计算示例

Capture audio up to 20 kHz with 2x oversampling.

  1. 01Minimum (Nyquist): 2 x 20,000 = 40,000 Hz
  2. 02Practical rate: 2 x 20,000 = 40,000 Hz
  3. 03Data rate (16-bit): 40,000 x 16 = 640,000 bits/s = 640 kbps

常见问题

Why not just sample as fast as possible?

Higher sampling rates require more storage, bandwidth, and processing power. Choose a rate that balances quality and resources.

What oversampling ratio should I use?

For basic measurement: 2.5-3x. For precision: 4-8x. For sigma-delta converters: 64-256x.

Does higher sampling rate mean better quality?

Only if there is signal content above the current Nyquist frequency. For signals already band-limited, more resolution (bits) helps more than more speed.

学习

Ohm's Law Guide

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