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What are the minimum number of bits required to ensure a quantisation error of less than 7\% in the Digitisation of a signal?

Posted on May 14, 2020 by Author

Table of Contents

  • 1 What are the minimum number of bits required to ensure a quantisation error of less than 7\% in the Digitisation of a signal?
  • 2 What is the smallest number of ADC bits that can be used?
  • 3 What is 2 bit quantization?
  • 4 What minimum sampling rate is called?
  • 5 What is bit in ADC?
  • 6 How many number of bits are required to encode the signal when the number of quantisation level is 8?
  • 7 What is the theoretical resolution of a 12-bit ADC?
  • 8 How to deal with quantization error in ADC?

What are the minimum number of bits required to ensure a quantisation error of less than 7\% in the Digitisation of a signal?

13.9. 2 Digital Video

CCIR 601 QCIF
525/60
Chrominance resolution 360 × 480 88 × 72
Color subsampling 04:02:02 04:02:00
Aspect ratio 04:03

What is the smallest number of ADC bits that can be used?

The least significant bit (lsb) represents the smallest interval that can be detected and in the case of a 12 bit digitizer is 1/4096 or 2.4 x 10-4….Resolution and Dynamic Range.

Resolution Ideal Dynamic range Minimum Voltage Increment
16 Bit 65536:1 15 μV

What is the minimum number of bits per sample you must use in order to sample and uniformly quantize an analog signal with at least 80 dB of SNR?

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Therefore, 2″ = 2048 and we need at least n=11 bits for the quantizer.

How many bits are needed in an ADC?

An ADC may have 12-bit resolution, but the effective number of bits when used in a system may be 9.5. ENOB is also used as a quality measure for other blocks such as sample-and-hold amplifiers. Thus analog blocks may be included in signal-chain calculations.

What is 2 bit quantization?

It seeks an “average” 2bit quantization. It means that some weights in some layers can be quantized with higher or lower bits per weight. Same story goes on for the activation quantization.

What minimum sampling rate is called?

The minimum sampling rate allowed by the sampling theorem (fs = 2W) is called the Nyquist rate.

What is an 8 bit ADC?

The short answer is it represents the resolution of the analog to digital converter (ADC). An ADC solves the problem of getting a digital device (something that only deals in 0’s and 1’s) to understand an arbitrary analog voltage. The 8 bits represent a binary number between 0 and 255, which are 256 unique numbers.

What is the minimum value of sampling frequency?

As an example, humans can detect or hear frequenies in the range of 20 Hz to 20,000 Hz. If we were to store sound, like music, to a CD, the audio signal must be sampled at a rate of at least 40,000 Hz to reproduce the 20,000 Hz signal. A standard CD is sampled at 44,100 times per second, or 44.1 kHz.

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What is bit in ADC?

The number of binary digits (bits) that represents the digital number determines the ADC resolution. ADC has a resolution of one part in 4,096, where 212 = 4,096. Thus, a 12-bit ADC with a maximum input of 10 VDC can resolve the measurement into 10 VDC/4096 = 0.00244 VDC = 2.44 mV.

How many number of bits are required to encode the signal when the number of quantisation level is 8?

It is apparent that 8 levels require three binary digits, or bits; 16 levels require four bits; and 256 levels require eight bits.

What will be the number of quantization levels required if encoder is using 9 bits per word?

Since 29 = 512, we can use 9 bits per sample to number the 500 quantization levels. As there are 30,000 samples per second, the information rate to encode the music is I = 9 · 30,000 = 270 kbits/s (kbps).

What is the quantization noise power of oversampling ADC?

The quantization noise power is the area obtained from integrating the power spectral density function in the range of − f s / 2 to f s / 2. Now let us examine the oversampling ADC, where the sampling rate is much larger than that of the regular ADC; that is f s > > 2 f max. The scheme is shown in Figure 12.24.

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What is the theoretical resolution of a 12-bit ADC?

If there is no electrical noise and we use a 12-bit ADC, then the theoretical resolution is 1.5cm/4095, or about 0.0004 cm. In most systems, the resolution of the measurement is determined by noise and not the number of bits in the ADC. Time quantization is the time difference between one sample and the next.

How to deal with quantization error in ADC?

Assuming that the quantization error is random it can be treated as white noise. The quantization noise power and RMS quantization voltage for an ADC is given by the equation: A quantized signal sampled at frequency fs has all of its noise power folded into the frequency band 0 <= f <= fs /2.

What is quantization noise in analog to digital conversion?

Quantization noise model. Quantization noise is a model of quantization error introduced by quantization in the analog-to-digital conversion (ADC) in telecommunication systems and signal processing. It is a rounding error between the analog input voltage to the ADC and the output digitized value. The noise is non-linear and signal-dependent.

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