विंडो फ़ंक्शन बैंडविड्थ कैलकुलेटर

विंडो फ़ंक्शन की बैंडविड्थ और स्पेक्ट्रल लीकेज की गणना करें।

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

सूत्र

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
  • हल किया गया उदाहरण

    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

    अक्सर पूछे जाने वाले प्रश्न

    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.

    सीखें

    Ohm's Law Guide

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