विंडो फ़ंक्शन बैंडविड्थ कैलकुलेटर
विंडो फ़ंक्शन की बैंडविड्थ और स्पेक्ट्रल लीकेज की गणना करें।
Minimum 2 (Nyquist), typical 4-8 for practical systems
Minimum Sampling Rate (Nyquist)
40,000 Hz
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.
- 01Minimum (Nyquist): 2 x 20,000 = 40,000 Hz
- 02Practical rate: 2 x 20,000 = 40,000 Hz
- 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.
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