ड्यूटी साइकिल कैलकुलेटर
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Ideal SNR
74.00 dB
Ideal SNR vs ADC Resolution (bits)
सूत्र
## Quantization Noise in ADCs When an analog signal is digitized, the rounding to discrete levels introduces quantization noise uniformly distributed over one LSB. ### Formulas **Ideal SNR = 6.02 x N + 1.76 dB** (for a full-scale sine wave) **LSB = V_full_scale / 2^N** **Quantization Noise RMS = LSB / sqrt(12)** Each additional bit of resolution adds approximately 6 dB of SNR. Real ADCs achieve slightly less due to thermal noise, linearity errors, and timing jitter.
हल किया गया उदाहरण
A 12-bit ADC with 3.3 V full-scale range.
- 01Ideal SNR: 6.02 x 12 + 1.76 = 74.0 dB
- 02LSB: 3.3 / 4096 = 0.000806 V = 0.806 mV
- 03Quantization noise RMS: 0.806 / sqrt(12) = 0.233 mV
- 04Quantization levels: 2^12 = 4096
अक्सर पूछे जाने वाले प्रश्न
Why do real ADCs not reach ideal SNR?
Thermal noise, jitter, INL/DNL errors, and aperture uncertainty all reduce the effective number of bits (ENOB) below the theoretical limit.
What is ENOB?
Effective Number Of Bits = (SINAD - 1.76) / 6.02. It measures how many ideal bits the ADC actually achieves in practice.
Does oversampling reduce quantization noise?
Yes. Oversampling by 4x effectively adds 1 bit of resolution (6 dB improvement) when combined with decimation filtering.
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