मुफ्त PCB ट्रेस चौड़ाई कैलकुलेटर
IPC-2221 के अनुसार PCB ट्रेस की आवश्यक चौड़ाई निकालें। करंट दर्ज करें।
Minimum (Nyquist) Rate
40.0 kHz
Minimum (Nyquist) Rate vs Maximum Signal Frequency
सूत्र
## Nyquist-Shannon Sampling Theorem ### Formula **f_sample >= 2 x f_max** The minimum sampling rate must be at least twice the highest signal frequency to avoid aliasing. In practice, sample at 2.5x or higher and use an anti-aliasing filter.
हल किया गया उदाहरण
Audio signal with 20 kHz maximum frequency, 2.5x oversampling.
- 01Nyquist rate = 2 x 20 = 40 kHz (minimum)
- 02Practical rate = 2.5 x 20 = 50 kHz
- 03Sample period = 1000 / 50 = 20 us
अक्सर पूछे जाने वाले प्रश्न
What is aliasing?
When sampling below Nyquist rate, high frequencies fold back as false lower frequencies, corrupting the signal irreversibly.
Why oversample?
Real anti-aliasing filters cannot have infinite roll-off. Oversampling provides margin for the filter transition band.
Why is CD audio 44.1 kHz?
Human hearing extends to ~20 kHz. Nyquist requires 40 kHz minimum. The extra 4.1 kHz provides margin for the anti-aliasing filter.
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